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3 years ago

If the compound interest formula gives you $13,200 and your investment was $11,500, how much interest did you earn?

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer:

$1700

Step-by-step explanation:

The compound interest formula gives the total value of the investment after a certain duration considering the rate of interest.

To fins the amount of interest gained, we deduct the initial value of investment from the total compound amount.

Interest=A-P

Where P is principal amount of investment and A is the final value of money.

Substituting $13200 for A and $11500 for P then

I=13200-11500=$1700

Therefore, interest amount is equivalent to $1700

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A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob

andriy [413]

Answer:

a) We need a sample size of at least 705.

b) We need a sample size of at least 1692.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

a) If she uses 1999 estimate of 11.8% obtained from the Current Population Survey.

We need a sample of size at least n

n is found when $M = 0.02, \pi = 0.118$ .

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.645\sqrt{\frac{0.118*0.882}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.118*0.882}$

$\sqrt{n} = \frac{1.645\sqrt{0.118*0.882}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.118*0.882}}{0.02})^{2}$

$n = 704.08$

Rounding up

We need a sample size of at least 705.

b) She does not use any estimate.

Same thing as above, we just use $\pi = 0.5$ when do not use any estimate.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{1.645\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 1691.2$

Rounding up

We need a sample size of at least 1692.

4 0

3 years ago

(Grade7geomtery) Can somebody plz help answer these questions correctly (only if u know how to do this) thx sm! :3

ArbitrLikvidat [17]

Answer:

<1 = 47

<2 = 65

<3 =68

<4 = 68

Step-by-step explanation:

3 0

3 years ago

25° decreased by 60%

worty [1.4K]

25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 =
10;
The answer is 10

4 0

3 years ago

Blank divided by 7>800

djverab [1.8K]

Hi there

Replace the blank space by x

so x/7 > 800
All you have to do is cross-multiply

x > 7*800
x> 5600

I hope that's help !

8 0

3 years ago

Read 2 more answers

What are Pythagorean triplets?Write five examples

Dmitry_Shevchenko [17]

Answer:

Pythagorean triplet are the values of hypotenuse, base and perpendicular which tend to represent a right-angled triangle. Integral solutions to the Pythagorean Theorem, a2+b2=c2 are called Pythagorean triplet which contains three positive integers a,b,c where a<b<c.

4 0

3 years ago