Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Compound Interest:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
The cross-sectional shape of the archway of a bridge (measured in feet) is modeled by the
function ƒ(x) = -0. 5x2 + 6x where ƒ(x) is the height of the arch and x is the horizontal
distance from one side of the base of the arch. How wide is the arch at its base? Will a box truck
that is 8 feet wide and 13. 5 feet tall fit under the arch? If not, what is the maximum height a
truck that is 8 feet wide and is passing under the bridge can be
The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives x=12 feet.
What is horizontal distance?Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.
No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.
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5.07 - 2.148
????????????
Answer:
Step-by-step explanation: 2.922
Answer: 2.922
Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.
6 m
5 m
3 m
Find the area of this figure. Round your
answer to the nearest hundredth.
Use 3.14 to approximate T.
A = [?] m2
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.
given
Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.
Triangle + rectangle + semicircle together make up the figure's surface area.
Triangle's area is equal to 1/2 * 3 * 5.
Triangle's surface area is 15/2.
Triangle's surface area is 7.5 m3.
Rectangle area equals length times width
Rectangle's area is equal to 6 x 5.
30 m2 is the rectangle's area.
Semicircle area equals πr²/2
Semicircle's area is equal to π(3)²/2
Semicircle's area is equal to 3.14(9)/2.
Semicircle's area is equal to 3.14 x 4.5.
Semicircle's surface area is 14.13 m2.
Area: 30 + 14.13 + 7.5
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
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Students were surveyed about their favorite kind of frozen yogurt
How many solutions are there to each nonlinear system of equations? How do you know?
1.
2.
3.
Answer:
0, 1, 2
Step-by-step explanation:
The solution to a system of equations given graphically is at the intersection of the individual graphs.
Graph (1)
There is no intersection between the 2 graphs so no solution
Graph (2)
There is one point of intersection between the 2 graphs so 1 solution
Graph (3)
There are two points of intersection between the 2 graphs so 2 solutions
What are the like terms in 3x 3 2y and 2 XY x2?
The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.
3x (3 - 2y) = 3x * 3 - 3x * 2y = 9x - 6xy2 (xy + x²) = 2 * xy + 2 * x² = 2xy + 2x²What are like terms in math equations?Like terms are terms which have the same variables and exponents. In this case, the like terms are -6xy and 2xy because they both have the same variable (xy) and exponents (1). In algebra, like terms can be added or subtracted to simplify an expression. Like terms are terms which have the same variables and exponents.
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–16 − 19f + 10f = –16f − 2
Small cubes with edge lenghts of 1/4 will be packed into the rectangular prism how many small cubes will be needed to completley fill the right rectangular prism the lenghts are inches it has a hight of 3 and a leght of 6 and a base of 8
Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216
2 + (4-3 (3-6) -4] +12=
Answer: 23
Step-by-step explanation:
someone help me please !
Answer:
base = √3/2
cos 30 = √3/2
height = 1/2
sin 30 = 1/2
coordinates: √3/2, 1/2
Step-by-step explanation:
See unit circle for reference
A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.Which of the following is the best interpretation of the probability 0.20 ?
"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.
(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.
Here,
"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.
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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.
Which of the following is the best interpretation of the probability 0.20 ?
A- For all workers in the United States, 20% will work in finance.
B- For all finance workers, 20% will have a tattoo.
C- For all people with tattoos, 20% will work in finance.
D- For a specific group of 5 finance workers, 1 will have a tattoo.
E- For a specific group of 5 people with a tattoo, 1 will work in finance.
(1 point) | Question Attempt: 1 of Unlimited
Suppose that the functions h and g are defined as follows.
h(x)=x-2
g(x)=(x-4)(x+2)
h
(²)(-1).
(a) Find
h
(b) Find all values that are NOT in the domain of
9
If there is more than one value, separate them with commas.
All values that are NOT in the domain of 9 are 5 /11 at x=9, where function h=7.
How can I determine a rational function's domain?All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.
h(x)=x-2\sg(x)=(x-4)(x+2)
Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11
Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.
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PLSSSS HURRY I HAVE A TIME LIMIT MUST SHOW WORK
Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70
Step-by-step explanation:
XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)
So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)
RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°
WVS: We already solved this in the beginning
RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:
RSV = 180° - (55° + 55°)
RSV = 70°
Now that we know RSV = 70°, we can find RST
180 - (RSV + RST)
180 - (70° + RST)
RST = 110°
RSV: We already found this
Sorry, that was a lot. Hope it wasn't too confusing.
Please help!!!!
Will give out brillianst!!!
Answer:
A, C, D
A function can’t have repeating x-values. Each assigns exactly one range (y-value) to each domain (x-value)
FOR PART A
Step-by-step explanation:
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.
Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.
If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.
Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.
Step-by-step explanation:
Which number is closest to the
point on the number line?
A) -7/3
B) 16/11
C) 3/7
D) -5/5
Answer:
B. 16/11
Step-by-step explanation:
16/11 as a mixed number is 1 6/11. This is closest to 1 1/2 on the number line. The other negative numbers (-7/3, -5/5) are on the negative end on the spectrum so they are immediately eliminated. 3/7 doesn't have a whole number and therefore is not as close as 16/11 is to the point.
The coordinate of A i -9 and the coordinate of C i 12. The ditance between A and B i 1/3 of AC. What i the coordinate of B?
The cordinate of point B is -2.
To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.
First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.
Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.
Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.
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a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length
Answer:
0.13 cm ( as question was posted)
13 cm ( if width was in centimeters)
Step-by-step explanation:
a = lw
4.5m = 450cm
Plug in the knowns
58.5 = l(450)
Divide both sides by 450
0.13 = l
length is 0.13 cm
----------------------------
I did the qustion as you posted it.
If you intended 4.5 centimeters instead of 4.5 meters then
58.5 = l(4.5)
divide both sides by 4.5
l = 13 cm
3. XY has an equation of x = 8. What is the equation, in point-slope form, of a line that is
perpendicular to XY and passes through (6, 9)?
(i'm looking for an explanation)
Answer: y=9
Step-by-step explanation:
Plug in (6,9) into the slope intercept form equation:
9=0(6) +b
Then get
9=b
When you make the equation you would end up with:
y=0x+9
which simplifies to y=9
Determine whether the geometric series is convergent or divergent. 10 – 8 + 6.4 – 5.12 +... A. convergent B. divergent If it is convergent, find its sum. (If the quantity diverges, leave this blank.) _____
The given series is convergent and the sum S∞ is 5.555
Think about 10 - 8 - 6.4 - 5.12
If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.
the average ratio,
r = -8/10
⇒ r = -0.8
This equals 1 - 0.8 - 1.
The presented series is hence convergent.
Sum of series = S∞ = a/(1 - r)
Here, first term(a) = 10,
common ratio(r) = -0.8,
S∞ = a/(1 - r)
⇒ S∞ = 10/(1 - (-0.8))
⇒ S∞ = 10/(1 + 0.8)
⇒ S∞ = 10/1.8
⇒ S∞ = 5.555
Therefore, the given series is convergent and the sum S∞ is 5.555
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What are two angles on a line called?
Answer:
supplementary angles
Step-by-step explanation:
140 + 40 = 180.
evaluate 3.8^1.1 and (5/7) round answers to the nearest 10th
Answer:
4.30 and 0.70 if you round of to the nearest tenth
Step-by-step explanation:
pls mark as brainliest lol
the fraction r/s must be equal to which expression
choose 1 answer
a- r - s
b- r + s
c- r x s
d- r ÷ s
Simplify 6/sqr3+2
NEED HELP PLZ!!
Answer:
1.61
Step-by-step explanation:
6/((sqrt3)+2) in a calculator
Answer:
-6(√3 - 2)
Step-by-step explanation:
Which did you mean?
6/[sqr(3) + 2]
or
6/(sqr(3)+2)
or what? Ambiguous unless you use parentheses.
If you meant
6/[sqr(3) + 2]
then rationalize the denominator by multiplying numerator and denominator of the given expression by (√3 - 2):
6(√3 - 2) 6(√3 - 2)
-------------------------- = ----------------- = -6(√3 - 2)
[sqr(3) + 2](√3 - 2) 3 - 4
Daddy Dearest (Fnf) Is giving you free point s if you stay away from GF
What do you do?
A grab the points and run for your life
B Grab the coins and kidnap GF
C Rap battle him
D Ask BF to beat him
Answer:
E. Take points and kill GF
Step-by-step explanation:
Answer:
grab the points and rap battle him
Step-by-step explanation:
because why not have a rap battle for the points
At the beginning of the school year, there were
1200 students enrolled at Elmwood Middle
School. At the end of the year, there were 1128
students. Find the percent of change in
enrollment.
Answer:
6% change
Step-by-step explanation:
First find the difference between students at the end and the beginning of the year.
1200-1128=72
to find the percent, you need to divide the difference by the initial value.
72/1200=0.06
move the decimal
6%
Answer:
6%
Step-by-step explanation:
take the final amount of students (1128) and divide it by the beginning amount (1200) this will give you the percent of kids that stayed in the school, in decimal form .94, you can now multiply by 100 to get the percentage form of students that stayed, then subtract 94% from 100% to see that there was a 6% decrease in the number of students
if you have any questions, leave them in the comments and i will try to answer them.
Find the slope from the pair of points (-4,-5) and (4,5)
Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.
Answer:
y = 9.4
x = 5.7
Step-by-step explanation:
From the given triangle
Opposite to the acute angle is y
Hypotenuse = 11
Angle = 59degrees
using the SOH CAH TOA identity
sin 59 = opp//hyp
sin59 = y/11
y = 11sin59
y = 9.4
Also
Adjacent = x
cos theta = adj/hyp
cos 59 = x/11
x = 11cos59
x = 5.7
Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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1/4 gallon of paint costs $8. 99. What is the unit price of one gallon of paint?
The unit price of one gallon of paint is going to be $35.96.
We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.
In this question, it is given that 1/4 gallon of paint costs $8.99 so for 1 gallon we will have to multiply both the paint amount and the money which buys it to 4 which will conclude that 1 gallon costs $8.99 × 4 is equal to $35.96. So, 1 gallon of paint will cost $35.96.
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