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MaRussiya [10]
3 years ago
15

Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

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Answer:

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Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

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\implies 2r^2 = c^2

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So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

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\implies 2r^2=1-2r+r^2

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Answer:

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Step-by-step explanation:

to know the answer to that

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Step-by-step explanation:

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Answer:

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