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Korolek [52]
1 year ago
8

Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___

________ $6,240 at 10% for 9 months: ___________
Mathematics
2 answers:
prisoha [69]1 year ago
4 0
Hi there! I can help you! Okay. So to find the amount of interest, we have to do the formula prt. That means multiply the principal, which is the initial amount of money, the rate, which is the interest rate, and the amount of time, which is usually in years. With that being said, here is how the answers turn out.

$252, 8% for 2 years: $40.32
$400, 2% for 6 months: $4
$5,000, 3.5% for 1 year: $175
$6,240, 10% for 9 months: $468

For the months, we just convert those numbers into decimal. 6 months is 1/2 a year, so it would be 0.5 and 9 months is 3/4 of a year, so that decimal would be 0.75. All you have to do is multiply the amount of money by percentage (you can do it by decimal form) by amount of time, and you’ll be good.
m_a_m_a [10]1 year ago
3 0

Answer:

$252, 8% for 2 years: $40.32

$400, 2% for 6 months: $4

$5,000, 3.5% for 1 year: $175

$6,240, 10% for 9 months: $468

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The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o
Svetlanka [38]

Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

So

14 = 7.5 + 3\sigma

I want to find \sigma

3\sigma = 6.5

\sigma = \frac{6.5}{3}

\sigma = 2.17

The standard deviation of car age is 2.17 years.

8 0
2 years ago
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The values in the table represent a function. f(x) Use the drop-down menus to complete the statements. The ordered pair given in
dezoksy [38]
The answer would be
You got it right
I wish i saw this when i needed jt too
Explanation
Absolutely
6 0
1 year ago
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Which transformation causes the described change in the graph of the function y = cos x?
tia_tia [17]
A: a horizontal shrink would be caused by cos 3x.
B: a vertical stretch would be caused by 3 cos x
C:  a horizontal stretch would be caused by cos (1/3)x
D: a vertical shrink would be caused by 1/3 cos x.
4 0
1 year ago
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Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
1 year ago
A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)
butalik [34]

Answer:

|SU|=\sqrt{13}

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

|RT|=\sqrt{(8-1)^2+(5--1)^2}

|RT|=\sqrt{(7)^2+(6)^2}

|RT|=\sqrt{49+36}

|RT|=\sqrt{85}

For the diagonal S(6,1) U(3,3)

|SU|=\sqrt{(6-3)^2+(5-3)^2}

|SU|=\sqrt{(3)^2+(2)^2}

|SU|=\sqrt{9+4}

|SU|=\sqrt{13}

Therefore the shorter diagonal is:

|SU|=\sqrt{13}

4 0
1 year ago
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