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andrezito [222]
3 years ago
15

Margarito opened a savings account with a $500 deposit and a simple interest rate of 5.6%. If there were no deposits or withdraw

als, how much total money is in the account after 8 ½ years ?
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Hey there!

Simple interest is based on only the original deposit of money, which in this case is $500.

To find 5.6% of 500, we can multiply it by the decimal that represents that part of a whole: 0.056.

500 \times 0.056 = 28

The question asks for how much money is in the account after 8 1/2 years. This means we multiply the interest for 1 year (28) by 8 1/2.

28 \times 8.5 = 238

Lastly, we add the interest to the original deposit.

500 + 238 = 738

The answer is $738.

Hope this helps!


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Step-by-step explanation:

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n=p(1-p)(\dfrac z^*}{E})^2        (1)

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\sigma = Population standard deviation from previous studies.

Let p be prior population proportion of the customers who click on ads on their smartphones .

As per given , we have

p=0.62

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For 92% confidence , significance level : \alpha=1-0.92=0.08

The critical value of z for 92% confidence interval from z-table would be

z_{\alpha/2}=z_{0.04}=1.75

Put theses values in the formula (1), we will get

n=(0.62)(1-0.62)(\dfrac{(1.75)}{0.27})^2

n=(0.2356)(6.48148)^2= 9.89745775254\approx 10

Therefore , the company should survey 10 customers .

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