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3 years ago

18. Noah paid off a loan with a simple interest rate of

Mathematics

1 answer:

Elena L [17]3 years ago

7 0

Answer:

29.1% is the correct APR

Step-by-step explanation:

Annual percentage rate=(interest+fees)/principal amount/n*365 days

interest is 9.7%

fees is not applicable to this question

principal is 100%

n is the number of days the loan was taken out for which is 4 months and the 365 days would be represented by 12 months instead.

annual percentage rate(APR)=(9.7%/100%/4)*12=29.1%

The correct option is 29.1% which represents the annual rate of interest on the loan taken by Noah on yearly basis

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If Charles lost 20 pounds, he would weigh seven times as much as his dog. Together they weigh 200 pounds. How much does each wei

barxatty [35]

Answer: Weight of Charles = 177.5 pounds

Weight of dos = 22.5 pounds.

Step-by-step explanation:

Let x = Weight of Charles

y = Weight of dog.

As per given , we have the following system of linear equation :

$x+y=200--------(i)\\\\x-20=7y-----------(ii)$

We can write (ii) as :

$x-7y=20---(iii)$

Subtract equation (iii) from (i) , we get

$8y=180\\\\ y=\dfrac{180}{8}=22.5$

Put this value in (1) , we get

$x+22.5=200\Rightarrow\ x=200-22.5=177.5$

Hence , Weight of Charles = 177.5 pounds

Weight of dos = 22.5 pounds.

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3 years ago

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea

Flura [38]

Answer: $(0.163,\ 0.189)$

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = Sample proportion.

n= Sample size.

z* = Critical value.

Let p = Proportion of adults in the U.S. who have donated blood in the past two years.

As per given , we have

n= 2322

Sample proportion of adults in the U.S. who have donated blood in the past two years. : $\hat{p}=\dfrac{408}{2322}\approx0.1757$

By z-table , the critical value for 90% confidence : z*= 1.645

Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be

$0.1757\pm ( 1.645)\sqrt{\dfrac{0.1757(1-0.1757)}{2322}}$

$0.1757\pm ( 1.645)\sqrt{0.0000623727433247}$

$0.1757\pm ( 1.645)(0.00789764163056)$

$0.1757\pm 0.013$

$=(0.1757- 0.013,\ 0.1757+ 0.013)$

$=(0.1627,\ 0.1887)\approx(0.163,\ 0.189)$

Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = $(0.163,\ 0.189)$

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3 years ago

How much lace edging is needed to go around a circular tablecloth with a diameter of 6 ft?

prohojiy [21]

Answer:

A= 28.27 ft²

Step-by-step explanation:

if its trying to find area for a circle then we use the formula A=πr²

A=π(3)²

A= 28.27 ft²

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3 years ago

Read 2 more answers

Please help...will mark brainlyest for a real answer

Gennadij [26K]

Answer:

26%

Step-by-step explanation:

There are 23 total classmates. 6 of the classmates take music lessons.

To find the percentage of classmates who take music lessons, divide the classmates who take music lessons by the total classmates.

6/23 = 0.26

0.26 = 26%

26% of students take music lessons.

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3 years ago

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marshall27 [118]

Answer:

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Step-by-step explanation:

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3 years ago