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3 years ago

6

a woman has piece of wood that is 22 ft long and another that is 13 ft long. she wants to select another piece of wood so that s

he can put all the pieces together to make a triangular garden bed. how long could the third piece of wood be

2 answers:

Usimov [2.4K]3 years ago

8 0

Greater than 9, lesser than 35....

jolli1 [7]3 years ago

6 0

The other piece of wood would have to be 13ft long

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Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?

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Debnil have 2 tablespoons to salt.

Step-by-step explanation:

Given,

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2 years ago

How long will it take for $2500 to double if it is invested at 6% annual interest compounded 6 times a year? Enter exact calcula

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Part 1) $t=11.610\ years$

Part 2) $t=11.552\ years$

Step-by-step explanation:

Part 1) we know that

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$A=P(1+\frac{r}{n})^{nt}$

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A is the Final Investment Value

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t is Number of Time Periods

n is the number of times interest is compounded per year

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$A=\$5,000\\P=\$2,500\\ r=6\%=6/100=0.06\\n=6$

substitute in the formula above

$5,000=2,500(1+\frac{0.06}{6})^{6t}$

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Apply log both sides

$log(2)=log[(1.01)^{6t}]$

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solve for t

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Part 2) we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$A=\$5,000\\P=\$2,500\\ r=6\%=6/100=0.06$

substitute in the formula above

$5,000=2,500(e)^{0.06t}$

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Apply ln both sides

$ln(2)=ln[(e)^{0.06t}]$

$ln(2)=(0.06t)ln(e)$

$ln(2)=(0.06t)$

$t=ln(2)/(0.06)$

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