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navik [9.2K]
3 years ago
6

Help me worth 25 points

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Your area is 37, hope this helps.
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Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha
AveGali [126]
r\approx0.139

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

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

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}

3) Thus the rate Otto needs is

r=0.1386\approx0.139

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
Evaluate 8-m/n +m when m=8 and n=2
RUDIKE [14]
Substitute the answer: therefore, 8-8/2+8= 0/10 in fraction form, but as you feather simplify 0 divide by 10 you'll get the answer as 0.
3 0
3 years ago
Which of the following could not be true for a function?
MatroZZZ [7]

Answer:

C) Domain is {2}, Range is {2, 3}

Step-by-step explanation:

For one value of x there are two values of y, which contradicts the definition of a function.

Definition of a function:

A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

<em>All the other options follow this definition except C</em>

3 0
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Which of the following ratios does not describe a relationship between the balls?
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Answer:

Step-by-step explanation:

4 0
3 years ago
The ratio of the radii of two spheres is 3:1. The volume of the larger sphere is 729 in3. What is the volume of the smaller sphe
Yanka [14]
27 in3 because you have to divide it

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3 years ago
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