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photoshop1234 [79]

2 years ago

15

$15,000 is invested at a rate of 8% compounded quarterly. Identify the compound interest function to model the situation. Then f

ind the balance after 10 years.

1 answer:

Rina8888 [55]2 years ago

7 0

Answer:

A = 15000(1.02)^4t ; $33,120.59

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A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded mont

musickatia [10]

9514 1404 393

Answer:

C) 12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

A/P = (1 +r/12)^(12t)

log(A/P) = (12t)·log(1 +r/12)

t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

8 0

3 years ago

Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

<u>step 2:-</u>

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

<u>A=1</u>

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

<u>-</u>1 = C

<u>step 3:-</u>

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

<u>step 4:-</u>

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

What should A and B equal?<br><br> marking brainliest!!

bulgar [2K]

I think you wrote that incorrectly

3 0

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Charra [1.4K]

Answer: no solution

Step-by-step explanation:

They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution

7 0

3 years ago

PLEASE HELP!!!! ILL GIVE YOU 10 POINTS IF YOUR ANSWER IS CORRECT!!!!

Cerrena [4.2K]

Answer:

x=-16

Step-by-step explanation:

y=-20

y=x-4

-20=x-4

x=-16

7 0

3 years ago

Read 2 more answers