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2 years ago

13

Element X decays radioactively with a half life of 15 minutes. If there are 340 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 6 grams?

1 answer:

NikAS [45]2 years ago

6 0

Answer: 57 min

i used a calculator.

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This year a softball coach raise $1200 for new equipment that is 4% less then he raise last year how much did he raise last year

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1200*96%
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3 years ago

Area & perimeter of rectangles word problems

nordsb [41]

Answer:

A. 6 m by 6 m

Step-by-step explanation:

You can try the different choices to see which has the largest area. Of course, the area is the product of the dimensions:

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3 years ago

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

mrs_skeptik [129]

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

$Take\ Principle\ = P_{0}$

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

= 0.048

Put in the formula

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

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

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

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 .

Thus Option (A) is correct.

i.e

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

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Gina was baking cookies.A dozen cookies requires 1/6 of a cup of chocolate chips.She wants to use 1/2 of a cup.How many dozen co

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