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2 years ago

It cost Benjamin $1.35 to send 9 text messages how much would it cost to send 118 text messages

Mathematics

1 answer:

Allushta [10]2 years ago

3 0

Answer:

it costs $17.7

Step-by-step explanation:

1.35/9 is 0.15

0.15 * 118 = 17.7

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2 years ago

E bisects DF , DE = 5y, and EF = 13y-8. Find DE, EF, and DF

bulgar [2K]

It bisects so DE=EF

DE=5y
EF=13y-8

so
5y=13y-8
minus 13y both sides
-8y=-8
divide both sides by -8
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DE=5y=5(1)=5

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2 years ago

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

dexar [7]

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

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

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

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

$11,600=5,200(1.0215)^{4t}$

$(11,600/5,200)=(1.0215)^{4t}$

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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3 years ago