Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
Pendulum A is 20 cm long and has a 5 g mass on it. Pendulum B is 30 cm long and has a 10 g mass on it. Which one has a faster period?
World War II began in the year 1939.
Let x represent any year. Write an inequality in terms
of x and 1939 that is true only for values of x that
represent years before the start of World War II. PLS ANSWER ILL GIVE U 5 STARS
Answer:
x < 1939
Step-by-step explanation:
If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.
Select the correct answer.
Which of these is a non-real complex number?
Answer:
C
Step-by-step explanation:
[tex]\dfrac 83 +\sqrt{-\dfrac 73}\\\\=\dfrac 83 + \sqrt{-1} \sqrt{\dfrac 73}\\\\=\dfrac 83 +i\sqrt{\dfrac 73}~~~~~~;\left[i =\sqrt{-1}\right]\\\\\text{It is now in the standard form of complex number (a+bi).}[/tex]
can someone help me with this? please
Answer:
14.4 feet
Step-by-step explanation:
Find the length of the missing side of the right triangle.
Answer:
b=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 =c^2 where a and b are the legs and c is the hypotenuse
6^2 + b^2 = 10^2
36+b^2 = 100
Subtract 36 from each side
b^2 = 100-36
b^2 = 64
Take the square root of each side
sqrt(b^2) = sqrt(64)
b = 8
Slope-intercept form that passes through (9, 3) and has a slope of -
Step-by-step explanation:
Let m and c be the slope and y-intercept respectively,
(y-3)/(x-9) = m
y-3 = mx-9m
y= mx - 9m+3
y = mx + 3(1-3m)
What is the slope-intercept equation for this line?
--1
y = [?]=x +
Enter the correct
symbol,+ or -.
-2
-3
Answer:
y = -1/2x - 2
Step-by-step explanation:
Slope Intercept form: y=mx+b
You need to find the slope and y-intercept.
(0,-2) is the y-intercept which is the point on the y-axis that is intersected by the linear equation which is our slope line.
Now, we need to find our slope.
*This line is a negative slope*
Starting at our y-intercept [ (0,-2) ] we need to go to a point where the line intersects.
The red dot on the coordinate plane clearly represents it.
(2,-3) is the red point in which we need to go down 1 and over 2 to get there.
So our slope should be -1 / 2
Lastly, write in slope-intercept form:
y = -1/2x - 2
Mila and Ben use red and orange beads to make bracelets with 60 beads each.
Mila uses 2 red beads for every 3 orange beads. Ben uses 5 red beads for
7 orange beads. Who uses more orange beads?
every
Mila
Ben
Red Orange
Total
Red Orange
Total
2
3
5
7
60
60
Answer:
Mila
Step-by-step explanation:
3+2=5
60/5=12
12*3=36
Mila uses 36 orange beads
7+5=12
60/12=5
7*5=35
Ben uses 35 orange beads
Mila uses more beads
hope this helps you on your homework :D
Answer:
From the results we can see that Mila would be using 15 orange beads.
Step-by-step explanation:
Step 1: Determine a common denominator
We need to figure out a ratio between the two people in a way so we can compare the amount of orange beads that are being used. We know that Mila uses 2 red beads while ben uses 5 red beads which means that we can use a ratio of 10.
(2 red beads * 5) : (3 orange beads * 5)
(10 red beads) : (15 orange beads)
(5 red beads * 2) : (7 orange beads * 2)
(10 red beads) : (14 orange beads)
Answer: From the results we can see that Mila would be using 15 orange beads.
2. Billie purchased a Jeep for $12,480. Her down payment was $3,600. If she paid the remainder in 48 monthly payments (excluding interest), what would be her monthly payment? (1) $165 (2) $175 (3) $185 (4) $195 (5) $205
Answer:
(3) $185
Step-by-step explanation:
12,480 - 3,600 = 8,880
8,880 / 48 = 185
Geoff is training for a charity bike ride. he takes a ride on 49-Mile Scenic Drive in San Francisco. The table shows his time at the beginning and end of the ride. What is Geoff's average speed for the ride?
Answer:
here
distance=49miles
time=3.5
Step-by-step explanation:
Now,
we know that,
V=Distance÷time
=49÷3.5
=14
so that,
Avg.Speed=Velocity÷time
=14÷3.5
=4 ans
13-18 Express the quantity as a single logarithm.
15. [tex]\ln 10+2 \ln 5[/tex]
16/x 45/3 find the value of x round to the nearest tenth
Answer:
x would be equal to 1.1
Step-by-step explanation:
Step 1: Determine the value of x
I assume that the equation looks like this: 16/x = 45/3
Therefore, using the cross multiply method we can do (16*3) = (x*45)
This will give us 48 = 45x
Then we divide both sides by 45 so we can isolate x by itself
45x/45 = 48/45
x = 1.0667
Then we round to the nearest tenth
x = 1.0667
x = 1.1
Answer: x would be equal to 1.1
Answer:
x = 16/15, or (to the nearest tenth) x = 1.1
Step-by-step explanation:
Note: there must be an " = " sign between the two fractions:
16 45
------- = -------
x 3
Also note that 45/3 reduces to 15: 16/x = 15
Multiplying both sides by x yields 16 = 15x, so that x must be x = 16/15 = 1.1
Convert 21 inches to feet using dimensional analysis round to 2 decimal places necessary
1 foot = 12 inches = 1/12
21/1 x 1/12 = 21/12 = 1.75 feet
Answer: 1.75 feet
Simplify by combining like terms:
-2x + 3 - 8y + 12 + 6x - 7y
Answer: 4x-15y+15
Step-by-step explanation:
Just combine then simplify.
PLEASE MARK ME THE BRAINLIEST!!!
Answer:
4x - 15y + 15
Step-by-step explanation:
You can only combine terms that have the same variable. For example, a number with the "x" variable can only be added to/subtracted by other numbers with the "x" variable. To make the simplifying easier, I would start by putting these terms next to each other. Remember that the negative values must stay with the value they are next to (i.e., the (-) in front of the (7y) must stay with it).
Starting: -2x + 3 - 8y + 12 + 6x - 7y
Rearranged: -2x + 6x - 8y - 7y + 3 + 12
Then, combine the values by adding them. Remember, adding a negative value means you end up subtracting it.
(-2x) and (6x) combine to form (4x)
(-8y) and (-7y) combine to form (-15y)
(3) and (12) combine to form (15)
This leaves you with: 4x - 15y + 15
Find the measure of angle x in the figure below:
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.
35°
47°
73°
78°
Answer:
I took the Test it is 72
3x-4=8 what does X equal to?
Hey there,
Solve the equation:
Answer :x = 4 ✅
Explanations :3x - 4 = 8
>> Add 4 to both sides :
3x - 4 + 4 = 8 + 4
3x = 12
>> Divide both sides by 3 :
3x/3 = 12/3
Therefore, your answer is x = 4
More about equations:
https://brainly.com/question/27460957
Have a good day ;)
Answer:
x = 4
Step-by-step explanation:
Given equation:
3x - 4 = 8To determine the value of "x", we need to isolate the "x" variable and it's coefficient. This can be done by adding 4 to both sides of the equation.
⇒ 3x - 4 + 4 = 8 + 4⇒ 3x = 12The next step in determining the "x" variable is to isolate the coefficient from the "x" variable. This can be done by dividing 3 both sides of the equation.
⇒ 3x/3 = 12/3⇒ x = 4Therefore, the solution (x) is 4.
3 of 8
If x = -8 and y = 4, evaluate the
-
following expressions:
i) (4y)² - (2x)²=
ii) 4y²– 2x²=
Answer:
Step-by-step explanation:
i) (4*4)^2-(2(-8))^2=256-(16)^2=256-256=0
ii) (4*16)-2*(-8)^2=64- 2(16)= 64-32=32
which product is less than 111
31/55x111
31/31x111
55/55x111
55/31x111
Answer:
31/55 * 111
Step-by-step explanation:
For all the other products, the number before the slash is greater than, or equal to the number after the slash. This means that the fraction is greater than or equal to 1 and thus a bigger product. For 31/55 however, the value is less than 1 (0.56) and thus, the actual product will be less than 111.
find an equation of the line through the given points. give the final answer in slope-intercept form (-2,2) (4,-1)
to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1[/tex]
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each of their driving ranges to construct a confidence interval for the mean driving range. She wants the margin of error to be no more than 10 kilometers at a 90% level of confidence. A pilot study suggests
that the driving ranges for this type of vehicle have a standard deviation of 15 kilometers.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
A) 5 vehicles
B) 7 vehicles
C) 10 vehicles
D) 15 vehicles
E) 30 vehicles
Using the z-distribution, it is found that the smallest sample size required is given by:
B) 7 vehicles.
What is the margin of error for a z-distribution confidence interval?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is the population standard deviation.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The margin of error and the population standard deviation are given by, respectively:
[tex]M = 10, \sigma = 15[/tex].
Then, we solve for n to find the needed sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.645 \times 15[/tex]
[tex]\sqrt{n} = 1.645 \times 1.5[/tex]
[tex](\sqrt{n})^2 = (1.645 \times 1.5)^2[/tex]
[tex]n = 6.1[/tex]
Rounding up, 7 vehicles have to be sampled, hence option B is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
please help with this
Answer:
C.Step-by-step explanation:
This is pretty straight forward. Here are the answers verified:
A. Incorrect. Pretty much not even close to 2°. If it was, then it would've been a very small triangle.B. Incorrect. It is kind of close to it, but it is not 28°. Once again, it would've been small.C. Correct. Angle just about right to reach 62°.D. Incorrect. This triangle would've been kind of big. Though it is not 88°, it is not big.Correct choice is C.
i need help asap please
Answer:
x = 52 due to vertical angle theorem
Step-by-step explanation:
Vertical angles mean that the angles are congruent.
If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.
I NEED HELP WITH PERCENT PROBLEM
Answer:
76$
Step-by-step explanation:
114=.6y; y= original price
y=190, original price
190-114=76
4 ft 8 ft 4 ft 10 ft
Explain to a friend how to find the perimeter of the figure shown.
Answer:
Take the measurement of every side and add them together. This will give you the total perimeter. For example, if you have a rectangle with the measurements 4 ft on the 2 short sides and 8 ft on the two long sides, you add together 4 + 4 + 8 + 8 which equals 24.
Hope I was able to help :)
Answer asap and only if yk 100% its correct
Answer:
24
Step-by-step explanation:
If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4
what is the exact value of tan(19pi/12)
Answer:
the answer is -2-√3
Step-by-step explanation:
[tex] \tan( \frac{19\pi}{12} ) \\ \tan( \frac{19 \times 180}{12} ) \:\:we \: know \: that \: \pi = 180 \\ \\ \tan(285) \\ = - 2 - \sqrt{3} [/tex]
What’s the median for 28,30,30,30,30,31,31,31,31,31,31,31,31
Answer:
31
Step-by-step explanation:
The median is the number that we find in the middle of the data.
So if we have a sequence of {1,2,3}
Then 2 is the median
If we have a sequence of {1,2,3,4,5}
Then 3 is the median
We look in the middle of 28,30,30,30,30,31,31,31,31,31,31,31,31
and we find 31 in the middle.
Note:
If the middle is something with 2 terms in the middle like
1,2,3,4
Then the median is the average of the two middle terms which is
(2+3)/2 = 2.5
What is the perimeter, in square units, of a rectangle XWYZ, with vertices X(0,0) W(0,7) Y(3,7) Z(3,0)?
Answer:
20
Step-by-step explanation:
P=2(l+w)=2·(7+3)=20 The length was 7 and the width was 3.
A Ferris wheel contains 16 cars evenly spaced on a circle with a radius of 20 feet. What is the distance between any two cars on the Ferris wheel?
Answer:
230.4
feet
Explanation:
arc length
=
circumference
×
fraction of circle
×
×
×
×
=
2
π
r
×
165
360
×
×
×
×
=
2
×
π
×
80
×
165
360
×
×
×
×
=
230.4
feet to nearest tenth
Answer:
23
Step-by-step explanation:
the answer is 22.5 but rounded to the nearest whole which is 23