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Ede4ka [16]
3 years ago
7

The Gomez family just purchased a $2,574.54 laptop computer. They made a down payment of $574.54. Through the store's installmen

t plan, they agreed to pay $121.00 per month for the next 18 months. A. What is the amount financed? B. What is the finance charge? C. What is the APR?

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0
A) The amount financed is the purchase amount less the down payment.
  $2,574.54 -574.54 = $2000.00

B) The finance charge is the total of payments less the amount financed.
  18*$121.00 -2000.00 = $178.00

C) The APR is calculated by a financial calculator to be 10.96%.

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The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me
iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 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 = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

So

267 - 2*19 = 229 days

to

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

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Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

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s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

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Answer:

1

Step-by-step explanation:

7 0
3 years ago
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