Answer:
A line graph, because it would show the association or relationship between two variables
Step-by-step explanation:
In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2)? Enter your answer in the box. Round to the nearest hundredth. units
Answer:
[tex] \sqrt{ {(0 - ( - 7))}^{2} + {( - 1 - ( - 2))}^{2} } [/tex]
[tex] \sqrt{ {7}^{2} + {1}^{2} } [/tex]
[tex] \sqrt{49 + 1} = \sqrt{50} = 5 \sqrt{2} [/tex]
5√2 units is about 7.07 units.
Given the height and radius or diameter of each cone, find the volume. Use 3.14 for pi, and found solutions to the nearest tenth. Assemble all of the puzzle pieces so that the problem and solution match. Once you have a 4 by 4 grid, paste it below.
To find the volume of a cone, we use the formula V = (1/3)πr²h or V = (1/3)π(d/2)²h, where r is the radius, d is the diameter, and h is the height of the cone.
Example 1: A cone with a height of 8 cm and a radius of 3 cm.
V = (1/3)π(3²)(8)
V = 24π
V ≈ 75.4 cm³
Example 2: A cone with a height of 12 cm and a diameter of 6 cm.
V = (1/3)π(6/2)²(12)
V = (1/3)π(3²)(12)
V = 36π
V ≈ 113.1 cm³
Example 3: A cone with a height of 5 cm and a diameter of 10 cm.
V = (1/3)π(10/2)²(5)
V = (1/3)π(5²)(5)
V = (1/3)π(25)(5)
V = 125/3π
V ≈ 130.9 cm³
Example 4: A cone with a height of 15 cm and a radius of 2.5 cm.
V = (1/3)π(2.5²)(15)
V = (1/3)π(6.25)(15)
V = (1/3)π(93.75)
V ≈ 98.2 cm³
Puzzle grid:
| 75.4 | 113.1 | 130.9 | 98.2 |
| - | - | - | - |
| - | - | - | - |
| - | - | - | - |
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I need to know how to answer this it hard
B) 0.18
To convert 2/11 into decimal form, divide 2 by 11 using a calculator or long division.
The result is 0.18181818... (the pattern of 18s repeats indefinitely).
Therefore, 2/11 as a decimal is approximately 0.1818 (rounded to four decimal places).
Answer:
B. [tex]0.\overline{18}[/tex]
Step-by-step explanation:
2/11 in decimal form is a set of repeating 18's:
0.181818181818...
This can be represented using bar notation, where digits under the bar repeat infinitely:
[tex]0.\overline{18}[/tex]
__
Extra note:
A trick for fractions with 99 in the denominator is that, when the fraction is converted into a decimal, the numerator of the fraction is the repeating two digits.
In this problem, when we convert 2/11 to 99ths:
[tex]\dfrac{2}{11} \cdot \dfrac{9}{9} = \dfrac{18}{99}[/tex],
we can see that 18 is in the numerator, so that is the repeating part of the decimal [tex]0.\overline{18}[/tex].
448m^2−49.81m=?
I need to know
Answer:
The answer to the expression 448m^2−49.81m is 448m^2 - 49.81m. It cannot be simplified further without knowing the value of m.
Geometry pls help asap
if x = 25, quadrilateral ABCD will be a trapezoid with AB || CD.thus, the answer is (C) 25.
What is trapezoid?
For quadrilateral ABCD to be a trapezoid, it must have a pair of parallel sides. In other words, either AB || CD or AD || BC. We can use the angle measures to determine which condition must be satisfied.
Trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the bases. The area of a trapezoid can be calculated by taking the average of the lengths of the two bases and multiplying by the height. The formula for the area of a trapezoid is: Area = (base1 + base2) / 2 * height
If AB || CD, then opposite angles must be supplementary, which means that:
A + D = 180°
Substituting the given angle measures, we get:
3x + (5x-20) = 180
Simplifying, we get:
8x - 20 = 180
Adding 20 to both sides, we get:
8x = 200
Dividing both sides by 8, we get:
x = 25
Therefore, if x = 25, quadrilateral ABCD will be a trapezoid with AB || CD.
Thus, the answer is (C) 25.
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Three coins are tossed. Find the probability that two land on heads.
a measurement of internal consistency that allows researchers to determine how well the different items/questions within a test measure different aspects of the same topic is:
The higher the value of Cronbach's alpha, the higher the internal consistency reliability of the assessment.
A measurement of internal consistency that allows researchers to determine how well the different items/questions within a test measure different aspects of the same topic is known as reliability.
Reliability refers to the consistency of the results of an assessment. In other words, it refers to the extent to which an assessment yields stable and consistent results. Researchers use various methods to assess the reliability of an assessment.
These include test-retest reliability, inter-rater reliability, and internal consistency reliability.
In this case,
The internal consistency reliability is the method that allows researchers to determine how well the different items/questions within a test measure different aspects of the same topic.
Internal consistency reliability is a method that measures the consistency of the results of an assessment by examining the relationships among the different items/questions within the assessment. It looks at the degree to which the items/questions within an assessment measure the same thing or construct.
If the different items/questions within an assessment are measuring the same thing, then the assessment is said to have high internal consistency reliability. If the items/questions are measuring different things, then the assessment is said to have low internal consistency reliability.
Researchers use various statistical methods to assess internal consistency reliability. One of the most common methods is Cronbach's alpha, which measures the degree to which the items/questions within an assessment are correlated with each other.
The higher the value of Cronbach's alpha, the higher the internal consistency reliability of the assessment.
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what is the Value of G
Explain
Hint: vertical Angles
Answer:
Its value is approximately:
G = 6.6743 x 10^-11 m^3 kg^-1 s^-2
Step-by-step explanation:
The value of G is the gravitational constant, which is a physical constant that appears in the law of universal gravitation. Its value is approximately:
G = 6.6743 x 10^-11 m^3 kg^-1 s^-2
This value is used to calculate the force of gravitational attraction between two objects, given their masses and the distance between them. The gravitational constant is a fundamental constant of nature and is important in many areas of physics, including astrophysics, cosmology, and mechanics.
two teams play a best of 7 match. each team is equally like to win each game. find the expected value and variance of the number of games played.
The expected value of the number of games played is 5.5 games, and the variance is 1.25.
To find the expected value of the number of games played, we need to consider all the possible ways the match can end. Since the match is a best of 7, one team needs to win at least 4 games. The possible outcomes are:
Team A wins in 4 games: AAAA
Team A wins in 5 games: AABAA or ABAAA
Team A wins in 6 games: ABAABA, ABABAA, or ABBAAA
Team A wins in 7 games: ABABABA, ABABAB, ABBABAA, or ABBABAAA
Similarly, we can list the possible outcomes for Team B winning in 4, 5, 6, or 7 games. However, since both teams are equally likely to win each game, the probability of each outcome is the same. Therefore, the expected value of the number of games played is:
E(X) = (41/8) + (52/8) + (63/8) + (72/8) = 5.5 games
To find the variance, we need to first calculate the squared deviation from the expected value for each outcome. For example, for the outcome AABAA, the deviation is (5-5.5) = -0.5, and the squared deviation is (-0.5)^2 = 0.25. We can then multiply each squared deviation by the probability of that outcome and sum them up,
Var(X) = (1/8)(4-5.5)^2 + (2/8)(5-5.5)^2 + (3/8)(6-5.5)^2 + (2/8)(7-5.5)^2
= 1.25
Therefore, the expected value of the number of games played is 5.5 games, and the variance is 1.25.
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find the measure of exterior angle in the following triangle 35
The measure of exterior angle in the following triangle is A, 125°.
How to find the exterior angle?Because the given triangle is a right-angled triangle, ΔABC.
Considering the angles
m∠A = 35°
m∠C = 90°
A triangle's angles add up to 180°.
So,
180° = mA + mB + mC
mA = 35° and mC = 90° are substituted in the equation
35° + m∠B + 90° = 180°
125 + m∠B = 180°
Take 125 off both sides.
125 + m∠B - 125 = 180° - 125
m∠B = 55°
As a result, the angle B is measured as follows:
m∠B = 55°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it. In a triangle with a 90° angle, the sum of the other two angles is:
180° - 90° = 90°. So, the measure of the exterior angle is 90° + 35° = 125°.
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Complete question:
find the measure of exterior angle in the following triangle 35°
A teenager is trying to throw a basketball into a very
tall basketball hoop at the carnival. The height of
the basketball as a function of time is given by the
function h(t)=-16t² +20t+5.5where h is the height in
feet and t is the time in seconds.
a. If the basketball hoop is 17 feet high, will the
teenager make the basket? Explain why or why
not.
b. How tall is the teenager?
FU HELP PLEWSE
a)Since the height of the basketball is only 6.3 feet when it reaches a height of 17 feet at t = 0.23 seconds, the teenager will not make the basket.
b) To find the height of the teenager, we need more information, such as their arm span or jumping ability.
what is height ?
Height is the measurement of how tall someone or something is, typically referring to the distance from the bottom to the top of an object or person. It can be measured in different units, such as feet, meters, or centimeters
In the given question,
a. To determine if the teenager will make the basket, we need to see if the height of the basketball when it reaches the hoop, which is at a height of 17 feet, is greater than or equal to 17 feet. So, we set h(t) = 17 and solve for t:
-16t² + 20t + 5.5 = 17
-16t² + 20t - 11.5 = 0
Using the quadratic formula, we get:
t = (-20 ± sqrt(20² - 4(-16)(-11.5))) / (2(-16))
t ≈ 1.79 or t ≈ 0.23
Since the basketball will reach a height of 17 feet at two different times, we need to determine the height of the basketball at each of these times and see if it is greater than or equal to 17 feet.
When t = 0.23 seconds:
h(0.23) = -16(0.23)² + 20(0.23) + 5.5 ≈ 6.3 feet
When t = 1.79 seconds:
h(1.79) = -16(1.79)² + 20(1.79) + 5.5 ≈ 17.1 feet
Since the height of the basketball is only 6.3 feet when it reaches a height of 17 feet at t = 0.23 seconds, the teenager will not make the basket.
b. To find the height of the teenager, we need more information, such as their arm span or jumping ability. The function h(t) represents the height of the basketball, not the height of the teenager.
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In this problem you will use a ruler to estimate the length of JK. Afterwards you will be able to see the lengths of the other two sides and you will use the Pythagorean Theorem to check your answer.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{JK}\\ a=\stackrel{adjacent}{5}\\ o=\stackrel{opposite}{49} \end{cases} \\\\\\ JK=\sqrt{ 5^2 + 4.9^2}\implies JK=\sqrt{ 25 + 24.01 } \implies JK=\sqrt{ 49.01 }\implies JK\approx 7[/tex]
lucia wants to create a triangulr shaped sand box. she is using railroad ties to from the sides. she has three ties in these length: 10 feet, 12 feet, 8 feet. will she be able to form the triangular shaped sand box without cutting any of her ties
Yes, Lucia will be able to form a triangular-shaped sandbox using the railroad ties without cutting them.
To determine if a triangle can be formed, you can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side.
In this case, the sides are 10 feet, 12 feet, and 8 feet. Let's check if the Triangle Inequality Theorem holds true for each combination:
1. 10 feet + 12 feet = 22 feet > 8 feet (Yes)
2. 10 feet + 8 feet = 18 feet > 12 feet (Yes)
3. 12 feet + 8 feet = 20 feet > 10 feet (Yes)
Since all three combinations satisfy the Triangle Inequality Theorem, Lucia can create a triangular-shaped sandbox with the given railroad ties.
The Triangle Inequality Theorem is a mathematical principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, if a, b, and c are the lengths of the sides of a triangle, then:
a + b > c
b + c > a
a + c > b
If any of these inequalities is not true, then the given lengths do not form a valid triangle.
This theorem is important in geometry and other fields that involve measurements of distance or length. It is also used in many practical applications, such as designing bridges, buildings, and other structures, where the strength and stability of the structure depend on the lengths and angles of the sides of the triangles involved.
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a one-tailed test of significance could be used whenever select one: a. the researcher is interested in predicting a direction for the difference b. the researcher feels like it c. the null hypothesis is thought to be true d. the alpha level exceeds 0.10
A one-tailed test of significance could be used whenever the researcher is interested in predicting a direction for the difference.What is a one-tailed test?A one-tailed test is a statistical hypothesis test in which the critical region of a parameter's distribution is only one-sided, indicating that it is either higher or lower than the values obtained from sample data.
A one-tailed test is also known as a one-sided test or a directional hypothesis test.It is used when the research hypothesis states a direction for the population parameter (i.e., greater than or less than a specific value).
For example, if we want to test whether a new drug reduces blood pressure, we could conduct a one-tailed test with the null hypothesis stating that the drug has no effect on blood pressure, and the alternative hypothesis indicating that the drug lowers blood pressure. In this scenario, a one-tailed test will be suitable.
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What is the minimum price for a dozen eggs if the cost of four dozen and half a gallons of milk costing $2.97 exceeded the $10 chase has in his pocket
Answer:
The cost of 4 dozen eggs is 4 * $1.25 = $5.
The cost of half a gallon of milk is $2.97.
The total cost of the eggs and milk is $5 + $2.97 = $7.97.
Since Chase has only $10, the minimum price for a dozen eggs is $10 - $7.97 = $2.03.
So the answer is 2.03
Step-by-step explanation:
39.4 is what percent of 64? Round to the nearest hundredth.
Answer: 61.56%
Step-by-step explanation:
To find what percent 39.4 is of 64, we can use the following formula:
(percent / 100) * 64 = 39.4
Solving for percent, we get:
percent = (39.4 / 64) * 100
percent = 0.615625 * 100
percent = 61.56 (rounded to the nearest hundredth)
Therefore, 39.4 is approximately 61.56% of 64 when rounded to the nearest hundredth.
find an equation of the line whose intercepts are twice those of the graph of 5y+2x=10
Answer:
[tex]2x+5y=20[/tex]
Step-by-step explanation:
Rearranging the equation of the given line into intercept form,
[tex]5y+2x=10 \\ \\ \frac{x}{5}+\frac{y}{2}=1[/tex]
This means the intercepts are [tex](5,0)[/tex] and [tex](0,2)[/tex].
We need to find the equation of the line with intercepts [tex](0,4)[/tex] and [tex](10,0)[/tex]. This equation is [tex]\frac{x}{10}+\frac{y}{4}=1[/tex], which rearranges to give [tex]2x+5y=20[/tex].
Please help I’m confused. Image attached, thanks it’s number 3
Answer:
B
Step-by-step explanation:
The independent variable is t (time) because no matter what happens the weeks will still pass. The dependent variable is b (balance) because it depends on the amount of time passed. You can see that after every week the balance decreases by 50. So when the independent variable increases by 1, the dependent variable decreases by 50.
Find the area of the Trapezoid
6.2 yd
5.6 yd
4 yd
13.4 yd
please explain I'll mark brainlisest
Area of trapezoid= 1/2 (13.4+5.6)×4
= 1/2 ×19
=76/2
=38yd
A group of three friends ate dinner at a
restaurant. When they settled the check andtip, Peter paid 4/5 as much as John paid, and
John paid 1/3 as much as Ralph paid. What
fraction of the check and tip did John pay?
The fraction of the check and tip did John pay is 5/24.
What are rational numbers?
It is possible to express rational numbers in the form pq, where p and q are integers and q0. The distinction between fractions and rational numbers is that the numerator or denominator of a fraction cannot be negative. As a result, the numerator and denominator of a fraction are whole numbers (denominator 0), as opposed to integers in the case of rational numbers.
Here, we have
Given: A group of three friends ate dinner at a restaurant. When they settled the check and tip, Peter paid 4/5 as much as John paid, and John paid 1/3 as much as Ralph paid.
we have to find a fraction of the check and tip did John pay.
p, j, r, the fractions that each paid.
p + j + r = 1....(1)
p = (4/5)j and j = (1/3)r
From equation(1), we get
(4/5)j + j + 3j = 1
j(4/5 + 1 + 3) = 1
(24/5)j = 1
j = 5/24
We have
r = 3j
r = 3(5/24)
r = 5/8
Hence, the fraction of the check and tip did John pay is 5/24.
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then, she drew a square. one side of the square was x inches. what is the perimeter of the square, in inches?
The required perimeter of the square with given measure of the one side length x inches is equals to 4x inches.
The perimeter of a square is the sum of the lengths of all its sides.
If one side of the square is x inches,
Then all sides are also x inches.
This implies, the perimeter of the square is equals to,
Substitute the side length of the square x inches we have,
Perimeter of the square = x + x + x + x
⇒Perimeter of the square = 4x inches
Therefore , the perimeter of the square with one side of x inches is equals to 4x inches.
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7x^2-34=2x^2+16
solving quadratic equation using square root
According to the given information, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.
What is quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable.
To solve for x in the equation 7x²-34=2x²+16 using square roots, we can first simplify the equation by moving all the x² terms to one side and all the constant terms to the other side:
7x² - 2x² = 16 + 34
5x² = 50
5x²/5 = 50/5
x² = 10
Finally, we can take the square root of both sides (remembering to include both the positive and negative square root, since x could be positive or negative):
x = ±√10
Therefore, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.
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The points
�
(
−
7
,
8
)
,
�
(
−
1
,
9
)
M(−7,8),N(−1,9), and
�
(
0
,
3
)
O(0,3) form a triangle. Find the desired slopes and lengths, then fill in the words that characterize the triangle.
Based on the lengths of the sides, we can see that the triangle is scalene. Based on the slopes of the sides, we can see that the triangle is acute since all the slopes are negative or less than 1.
What is triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
To find the desired slopes and lengths of the triangle formed by the points M(-7, 8), N(-1, 9), and O(0, 3), we can use the distance formula and the slope formula.
Distance formula:
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Using this formula, we can find the lengths of the sides of the triangle:
Length of MO:
d(MO) = √((0 - (-7))² + (3 - 8)²) = √(7² + 5²) = √(74)
Length of NO:
d(NO) = √((-1 - (-7))² + (9 - 8)²) = √(6² + 1²) = √(37)
Length of MN:
d(MN) = √((-1 - (-7))² + (9 - 8)²) = √(6² + 1²) = √(37)
Slope formula:
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Using this formula, we can find the slopes of the sides of the triangle:
Slope of MO:
m(MO) = (3 - 8) / (0 - (-7)) = -5/7
Slope of NO:
m(NO) = (9 - 8) / (-1 - (-7)) = 1/6
Slope of MN:
m(MN) = (9 - 8) / (-1 - (-7)) = 1/6
Characterization of the triangle:
Based on the lengths of the sides, we can see that the triangle is scalene (no two sides have the same length). Based on the slopes of the sides, we can see that the triangle is acute (all angles are less than 90 degrees) since all the slopes are negative or less than 1. Additionally, we can see that the side MO is the longest side of the triangle, and since the slope of MO is negative, we can conclude that the angle opposite side MO is the largest angle in the triangle.
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a chain 18 feet long whose weight is 93 pounds is hanging over the edge of a tall building and does not touch the ground. how much work is required to lift the entire chain to the top of the building? your answer must include the correct units. (you may enter lbf or lb*ft for ft-lb.)
The work required to lift the entire chain to the top of the building is 1,662.9 ft-lbs.
The work required to lift the chain to the top of the building is equal to the potential energy gained by the chain, which is given by
potential energy = mass × gravity × height
where mass is the mass of the chain, gravity is the acceleration due to gravity (32.2 ft/s^2), and height is the length of the chain (18 feet) since it is being lifted vertically.
First, we need to find the mass of the chain. We can use the fact that the weight of the chain is 93 pounds to find the mass using the formula
weight = mass × gravity
Rearranging this formula to solve for mass, we get
mass = weight / gravity
Substituting the given values, we get
mass = 93 pounds / 32.2 ft/s^2 = 2.89 slugs
Now we can calculate the potential energy of the chain using the formula
potential energy = mass × gravity × height
Substituting the values we have calculated, we get
potential energy = 2.89 slugs × 32.2 ft/s^2 × 18 feet = 1,662.9 ft-lbs
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given this minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable?
Given this minitab printout, the response variable in this multiple regression equation is a numerical variable. Multiple regression is a statistical method used to examine the relationship between a dependent variable (also known as the response variable) and two or more independent variables (also known as predictors or explanatory variables).The minitab printout typically shows the coefficient estimates of the regression equation, along with various other statistics such as the R-squared value, standard error, etc. However, it doesn't indicate whether the response variable is categorical or numerical.A response variable is categorical if it can only take on a limited number of discrete values or categories. Examples of categorical variables include gender, occupation, marital status, etc. A response variable is numerical if it can take on any value within a certain range. Examples of numerical variables include age, income, height, etc.In the given minitab printout, the response variable is the variable labeled "Cust_Satisfaction." This variable is measured on a scale from 1 to 100, and therefore, it can take on any numerical value within that range. Hence, we can conclude that the response variable in this multiple regression equation is a numerical variable.
What is the average rate of change for the function on the interval (2, 3)
A given function or graph is needed to find the average rate of change between an interval
In ΔPQR, r = 38 cm,
�
m∠P=49° and
�
m∠Q=127°. Find the length of p, to the nearest centimeter.
Answer:
Rounding to the nearest centimeter, we get p ≈ 57 cm.
Step-by-step explanation:
We are given a triangle ΔPQR with r = 38 cm, m∠P = 49°, and m∠Q = 127°. We are asked to find the length of side p.
First, let's find m∠R:
m∠R = 180° - (m∠P + m∠Q)
m∠R = 180° - (49° + 127°)
m∠R = 180° - 176°
m∠R = 4°
Now, we have all three angles of the triangle: P = 49°, Q = 127°, and R = 4°. We can use the Law of Sines to find the length of side p:
p/sin(P) = r/sin(R)
Let's plug in the known values:
p/sin(49°) = 38/sin(4°)
Now, solve for p:
p = (sin(49°) * 38) / sin(4°)
p ≈ 56.96 cm
Rounding to the nearest centimeter, we get p ≈ 57 cm.
Riley let his friend borrow $12,750. He wants to be paid back in 4.75 years. He is going to charge his friend 5.5% in interest.
Q. 1 - How much money in interest will Riley earn?
Q. 2 - When Riley’s friend pays him back, how much money will he have gotten back in all?
Answer: To solve these problems, we need to use the simple interest formula:
Simple Interest = (Principal x Rate x Time)
Where:
Principal: the amount of money lent or borrowed
Rate: the interest rate
Time: the length of time the money is borrowed for
Q. 1 - How much money in interest will Riley earn?
Using the simple interest formula, we can calculate the interest earned by Riley:
Interest = (Principal x Rate x Time)
Interest = ($12,750 x 5.5% x 4.75 years)
Interest = $3,442.81
Therefore, Riley will earn $3,442.81 in interest.
Q. 2 - When Riley’s friend pays him back, how much money will he have gotten back in all?
To find out how much money Riley's friend will pay him back in all, we need to add the principal and interest together:
Total amount to be paid back = Principal + Interest
Total amount to be paid back = $12,750 + $3,442.81
Total amount to be paid back = $16,192.81
Therefore, when Riley's friend pays him back in full, he will have gotten back $16,192.81 in all.
Step-by-step explanation:
Need help ASAP! I appreciate it!
Question 7(Multiple Choice Worth 2 points)
(One-Step Inequalities MC)
Write and solve the inequality that represents negative one fifth is greater than or equal to the product of negative two thirds and a number.
negative two thirds is less than or equal to negative one fifth y where y is less than or equal to two fifteenths
negative two thirds is less than or equal to negative one fifth y where y is greater than or equal to negative three tenths
negative one fifth is greater than or equal to negative two thirds y where y is greater than or equal to three tenths
negative one fifth is less than negative two thirds y where y is less than or equal to negative two fifteenths
The word phrase "negative one fifth is bigger than or equal to the product of negative two thirds" is represented by the inequality "1/5 ≥ (-2/3) x," and its solution is x ≥ 3/10.
How is inequity resolved?The inequality that symbolises the word phrase as supplied in the task content must be determined, as is evident from the assignment's content.
Negative one fifth is more than or equal to the product of negative two thirds and a number, which is how the disparity is expressed.
Therefore,
Let the number = y
- 1 / 5 ≥ - 2 / 3 × y
- 1 / 5 ≥ - 2 / 3 y
Now, multiply both sides of the inequality by - 3 / 2
Therefore,
- 1 / 5 (- 3 / 2) ≤ y
3 / 10 ≤ y
y ≥ 3 / 10
Therefore, y is greater than or equal to three tenths.
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