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Vedmedyk [2.9K]
3 years ago
6

If $180 is invested at an interest rate of 7% per year and is compounded weekly, how

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

$405.4

Step-by-step explanation:

A= P(1+\frac{r}{100}) ^{n}

-->180*(1+7/100)^12

-->$405.4

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80 points!!!!
Dvinal [7]

Answer:

nty

Step-by-step explanation:

3 0
2 years ago
Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note
Viktor [21]

a. Recall that

\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C

For |x|, we have

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

By integrating both sides, we get

\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0

so that

\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

We can shift the index to simplify the sum slightly.

\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n

b. The power series for x\ln(1-x) can be obtained simply by multiplying both sides of the series above by x.

\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n

c. We have

\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)

\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}

4 0
3 years ago
Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out
nikklg [1K]

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

8 0
3 years ago
Read 2 more answers
Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be use
Len [333]

Answer:

b

Step-by-step explanation:

only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b

5 0
3 years ago
Will give <br> BRAINLY AND FIVE STARS and A THANKS
11Alexandr11 [23.1K]

Answer:

k = 12h

Step-by-step explanation:

Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)

3 0
2 years ago
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