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zzz [600]
3 years ago
14

Peter put $8,000 into a savings account that pays 6% interest, compounded continuously. After five years, Peter will have $in th

e account. Hint: Use the formula A = Pert, where A is the amount after t years, P is the amount invested, r is the rate of interest, t is the time period, and e = 2.718. Use a calculator to compute your answer.
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53. </span>
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For this problem, the confidence interval is the one we are looking for. Since the confidence level is not given, we assume that it is 95%.

 

The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n


Where:

<span>
</span>

α= 5%


α/2 = 2.5%


t 0.025, 19 = 2.093 (check t table)


n = 20


df = n – 1 = 20 – 1 = 19

So plugging in our values:


8.41 ± 2.093 * 0.77 √ 1 + 1/20


= 8.41 ± 2.093 * 0.77 (1.0247)


= 8.41 ± 2.093 * 0.789019


= 8.41 ± 1.65141676


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3 0
3 years ago
Find the product: -4/9 and -3/8
NNADVOKAT [17]

Answer:

1/6

Step-by-step explanation:

-4/9 * (-3/8) =

= 12/72

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6 0
3 years ago
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PLEASE HELP ME WITH THIS, I WILL DO ANYTHING!!!
vitfil [10]

Mean is the "meanest" because it requires the most work. Add up the values in your data set and divide by the number of terms in the data.

Let x represent attendees at Harry's Hoedown, then

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41 = \frac{48 + 33 + x}{3}

123 = 48 + 33 + x

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5 0
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Answer:

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Find how many minutes it will take Paul to born 1 calory. You divide 65 by 15

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Therefore,

Paul burns 260 calories in 1 hour

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trasher [3.6K]

Answer:

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