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Pie
2 years ago
14

BRAINLIEST TO FIRST ANSWER PLEASE HELP

Mathematics
1 answer:
natka813 [3]2 years ago
7 0
3x8=24 16/8=2 5x8=40
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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
Write the decimal number that has the specified place values.
Delicious77 [7]

Answer:

253.90

Step-by-step explanation:

7 0
3 years ago
What is the length of angle EF in the right triangle below?
worty [1.4K]

Answer:

theres no picture or anything

Step-by-step explanation:


3 0
3 years ago
Determine if the statement is always, sometimes or never true. There are 250 degrees in the sum of the interior angles of a poly
stiv31 [10]
I feel like the answer is sometimes
5 0
3 years ago
Hey there guys could anyone help me out here? tutors are unavailable and help would really be appreciated.
Scilla [17]

Answer:

50 degrees

Step-by-step explanation:

because it is a parallelogram, angle B = angle D, and angle C = angle A

that means we have 130(2) = 260 degrees that we know.

the total interior angles of a parallelogram = 360

360 - 260 = 100 degrees left. BUT because those are the total amount of angles left, those are angles A and C combined, so you have to divide 100 in half to get the angle A/ angle DAB

100/2 = 50 degrees. hope this helps! leave a question if you are still confused.

5 0
3 years ago
Read 2 more answers
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