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3 years ago

-25+ t/2 is greater than or equal to 50

Mathematics

1 answer:

Ghella [55]3 years ago

5 0

T >= 150
.................

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Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever

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Answer

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

$Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}$

Where r is the rate in the decimal form.

As given

$Take\ Principle\ = P_{0}$

$Rate = \frac{4.8}{100}$

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$Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}$

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$Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}$ $Compound\quaterly\ interest = P_{0} (1.012)^{4t}$

Now also calculated monthly.

Formula

$Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}$

As given

$Take\ Principle\ = P_{0}$

$Rate = \frac{4.8}{100}$

= 0.048

Put in the formula

$Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}$

$Compound\ monthly = P_{0} (1 + 0.004)^{12t}$

$Compound\ monthly = P_{0} (1.004)^{12t}$

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

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i.e

The expression $(1.0118)^{4t}$ reveals the approximate quarterly growth rate of the value of Sean's house.

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Step-by-step explanation:

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