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geniusboy [140]
3 years ago
11

Solve for u. -2u+2=-7u+17

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Subtract 2 from both sides

-2u = -7u + 17 - 2

Simplify -7u + 17 - 2 to -7u + 15

-2u = -7u + 15

Add 7u to both sides

-2u + 7u = 15

Simplify -2u + 7u to 5u

5u = 15

Divide both sides by 5

u = 15/5

Simplify 15/5 to 3

u = 3

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1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

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2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

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Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0
1 year ago
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-19/15 

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