i just need to solve 0.037=x+1 please help

- anonymous

i just need to solve 0.037=x+1 please help

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- anonymous

i think i need to divide both sides by x+1

- Vocaloid

Subtract 1 from each side

- anonymous

-0.963?

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## More answers

- anonymous

@Vocaloid could you help me with 2 more?

- Vocaloid

Sure

- anonymous

The Mendes family bought a new house 9 years ago for $108,000. The house is now worth $165,000. Assuming a steady rate of growth, what was the yearly rate of appreciation? Round your answer to the nearest tenth of a percent (1.2% etc)

- Vocaloid

First find (change in price)/(number of years)

- anonymous

18333.33

- Vocaloid

(165000-108000)/9 = ?

- anonymous

6333.33

- Vocaloid

right, now we find the percentage compared to the original price
100*(6333.33/108000) = ?

- anonymous

5.864?

- Vocaloid

right, then round to the nearest 10th

- anonymous

5.9?

- Vocaloid

right, so our answer is 5.9%

- anonymous

An anthropologist finds bone that her instruments measure it as 0.494% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die?
The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand.

- Vocaloid

portion remaining = (2)^(number of years/half-life)
.494/100 = (2)^(x/5730)
solve for x

- anonymous

i couldnt solve it

- anonymous

@Vocaloid help, i couldnt solve it

- Vocaloid

.494/100 = (2)^(x/5730)
log(.494/100)/log(2) = x/5730

- anonymous

@Vocaloid keep getting error and i cant solve it :(

- Vocaloid

small correction
log(.494/100)/log(0.5) = x/5730
7.66 = x/5730
x = 44,000 years (rounded)

- anonymous

okay one more easy one e^2x+1=5.324

- andrearchat

X=-.73

- anonymous

1.672=2x+1 , now what? @Vocaloid

- anonymous

wait no its 1.672=2x-1

- Vocaloid

|dw:1438019083848:dw|
is this what the problem looks like?

- Vocaloid

or this?
|dw:1438019123161:dw|

- anonymous

its 2x-1 but yes

- Vocaloid

does it match the first drawing or the second drawing?

- anonymous

first

- Vocaloid

ok, so we have e^(2x-1) = 5.324
take the natural log of both sides

- anonymous

ln5.324=2x-1

- Vocaloid

right, now solve for x

- Vocaloid

add 1 to both sides, then divide both sides by 2

- Vocaloid

[ (ln5.324)+1 ] / 2 = x

- anonymous

1.336?

- Vocaloid

yes

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