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3 years ago

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:

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