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2 years ago

Margo borrows $200, agreeing to pay it back with 8% annual interest after 7 months. How much interest will she pay?

Mathematics

1 answer:

nordsb [41]2 years ago

8 0

Answer:

$9.33

Step-by-step explanation:

Interest = Principal × Rate × Time by 100

Therefore, I = 200×8×7/12 by 100

=16×7/12

=9.33

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The length of a rectangle is equal to the 4 in more than the width if the perimeter of a rectangle is 46 in what is the length

Svet_ta [14]

L=4+W
46=2L+2W
46=2(4+W)+2W
46=8+2W+2W
46=8+4W
38=4W
9.5=W

L=4+9.5
L=13.5 in.

Hope this helps. I can explain more if needed!!

6 0

3 years ago

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

The sum of 2 consecutive integers is 21 what’s the two numbers

aleksklad [387]

Answer:

10 and 11

Step-by-step explanation:

Let the first integer be x.

Then the next one, since it's consecutive, must be (x+1).

The two equals 21. Thus:

$(x)+(x+1)=21$

Combine like terms:

$2x+1=21$

Subtract 1 from both sides:

$2x=20$

Divide both sides by 2:

$x=10$

So, the first integer is 10.

And the second integer is 10+1=11.

5 0

4 years ago

Read 2 more answers

Determine the maximum number of zeros of the polynomial function -8x^4-x^2+2

kap26 [50]

To find that one, just look at the highest exponent. In the given equation that would be 4, so there can be at most 4 zeros in this function.

3 0

4 years ago

The volume of a cylinder is 441pi cubic centimeters and it’s radius is 7 centimeters. What is the height of the cylinder ?

Marat540 [252]

Answer:

$\large\boxed{H=9\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$V=441\pi\ cm^3,\ r=7\ cm$

Substitute:

$\pi(7^2)(H)=441\pi\qquad\text{divide both sides by}\ \pi\\\\49H=441\qquad\text{divide both sides by 49}\\\\H=9\ cm$ [/tex]

8 0

3 years ago

Read 2 more answers