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3 years ago

Question 9 (5 points)

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

9514 1404 393

Answer:

$3291.60

Step-by-step explanation:

If the loan is amortized in the usual way, the monthly payment is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years

A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86

The total of payments is ...

(60 months) × ($304.86/month) = $18,291.60

Then the profit to the bank is ...

$18,291.60 -15,000 = $3,291.60 . . . bank profit

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5x-3-2x/7=24 solve for x

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Answer:

X=5.7

Step-by-step explanation:

5x-3-2x/7=24

We simplify the equation to the form, which is simple to understand

5x-3-2x/7=24

Simplifying:

5x-3-0.285714285714x=24

We move all terms containing x to the left and all other terms to the right.

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We simplify left and right side of the equation.

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Bruce drove 25 km and his car used 4 L of gas. How many km can Bruce drive with 30 L of gas? Round your answer to the nearest km

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I hope this answer helps.

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Lily ran 100 meters in 15 seconds. How long did she take to run 2 meters

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3 years ago

Read 2 more answers

If the pattern continues how many cups of milk does George need to make 6 batches of muffins

alexdok [17]

Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

$\frac{3}{4}$ - $\frac{3}{8}$ = $\frac{3}{8}$

1 $\frac{1}{8}$ - $\frac{3}{4}$ = $\frac{3}{8}$

1 $\frac{1}{2}$ - 1 $\frac{1}{8}$ = $\frac{3}{8}$

To obtain the next term in the pattern add $\frac{3}{8}$ to the previous term.

batches = 5 ⇒ milk = 1 $\frac{1}{2}$ + $\frac{3}{8}$ = 1 $\frac{7}{8}$

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3 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

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

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

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

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

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3 years ago