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Rama09 [41]
3 years ago
5

Isabella deposited $2,000 in an account that pays 5% simple annual interest. After one year, how much interest in dollars and ce

nts will her investment have paid? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:

$100

Step-by-step explanation:

Simple Interest formula is given as:

A = P(1 + rt)

Where

A = Amount after t years

P = Principal = Initial Amount Invested = $2000

r = Interest rate in t years = 5%

t = time = 1 year

A = 2000(1 + (0.05 × 1)) = 2100

A = $2,100.00

The Amount after 1 year = $2100.00

The Simple Interest is calculated as

= A - P

= $2100 - $2000

= $100

Therefore, after 1 year her investment would have paid $100

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0
3 years ago
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zhenek [66]

Answer:

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Step-by-step explanation:

35/7 ?/2   2x35=70/7=10 butterfly cross multiply and divide

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Aiden is 27 inches tall. He is 3/8 as tall as his father. How y’all is his father?
Paul [167]

27 inches ......... 3/8

x inches .............8/8

<h3>x = (27×8/8)/(3/8) = 27×8/3 = 216/3 = 72 inches (father)</h3>
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Answer:

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Step-by-step explanation:

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3 years ago
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