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Phantasy [73]
3 years ago
10

Please explain step by step, I'm stuck and doing Algebra, (I'm doing an advanced class)

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Hey there!

So, the questions stated that it wanted you to put the values in a specific format.

f(x)= P(1+r)^x

P= what is in the account R= Rate

So, we know that the account as a 4% annual interest rate. In a decimal form, that is 0.04.

Now, we can plug all the numbers in.

500(1+0.04)^x

Or, 500(1.04)^x

All we need to do to find the savings after 5 years is plug in 5 for x into a calculator.

500(1.04)^5= 608.3264512, we can round it to 608.

So, the correct answer is f(x)= 500(1.04)^x, $608

I hope this helps!

~kaikers


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A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula
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Answer:

The sample proportion of printers used in small business is:

\hat{p}=\frac{25}{70}=0.3571

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

Where:

z_{\frac{0.05}{2}}=1.96 is the critical value at 0.05 significance level

\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }

         0.3571 \pm 0.1122

         \left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)

         \left(0.245,0.469 \right)

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)



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