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Nat2105 [25]
3 years ago
10

1. Are two congruent figures similar? Explain.​

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.

<em>Hope that helps!</em>

<em>-Sabrina</em>

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Step-by-step explanation:

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If $5200 is invested at a rate of 8.6% compounded quarterly, how long will it take, to the nearest hundredth of a year, until th
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Answer:

t= 9.43\ years

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

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in this problem we have  

t=?\ years\\ P=\$5,200\\ r=8.6\%=8.6\100=0.086\\n=4\\A=\$11,600  

substitute in the formula above

11,600=5,200(1+\frac{0.086}{4})^{4t}  

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Applying log both sides

log(11,600/5,200)=log(1.0215)^{4t}  

applying property of logarithms

log(11,600/5,200)=(4t)log(1.0215)  

t=log(11,600/5,200)/[(4)log(1.0215)]

t= 9.43\ years

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