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e-lub [12.9K]
3 years ago
9

What is the height to 315 f the length is 7 and the width 4

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

the height is 11.25 because 7×4=28×11.25=315

malfutka [58]3 years ago
4 0

Answer:

11.25

Step-by-step explanation:

1. Multiply 7 x 4 = 28.

2. Divide 315/28 = 11.25

The height is 11.25.

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The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.
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Answer: 21

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x² + 2x = 483

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To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
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We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
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