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sammy [17]
3 years ago
15

If 8 ^ x=2 sqrt 2 find the value of x.

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

{ \rm{ {8}^{x} =  \sqrt{2}  }} \\  \\ { \rm{ {2}^{3x} =  {2}^{ \frac{1}{2} }  }} \\  \\ { \rm{3x =  \frac{1}{2} }} \\  \\ { \rm{x =  \frac{1}{6} }}

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Find below correct question:

When she was 20, liz started saving $6,000 a year for retirement. her goal is to reach & 100,00 in savings by the time she’s 30. her account earns 8% interest per year, compounded annually. liz (will/ won’t) have saved $100,000 by age 30. she’ll (exceed/ fall short of) her goal by about ($10,081/ $13,081/ $14,011)

liz won’t have saved $100,000 by age 30. she’ll fall short of her goal by about  $13,081

Step-by-step explanation:

First and foremost we need to know the worth of Liz's retirement savings when she is 30 using excel fv formula as follows:

=fv(rate,nper,-pmt,pv)

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pmt is the amount of yearly savings which is $6,000

pv is the present worth of total savings which is not known

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