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3 years ago

The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rater.

1 answer:

4 0

Interest rate = 7%

I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.

A - P will give us the interest earned.

12,150 - 9,000 = 3,150

3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%

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Factor trinomial x^2n+10x^n+16

iragen [17]

Answer:

$\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}$

Step-by-step explanation:

$\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)$

8 0

3 years ago

Find the volume of the solid generated by revolving the region bounded by

Rama09 [41]

Answer:

$V =\dfrac{25\pi}{\sqrt{2}}$

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

$V = \int_a^b(\pi y^2)dx$

a and b are the limits of the integrals

now,

$V = \int_a^b(\pi (5\sqrt{sinx})^2)dx$

$V =25\pi \int_{\pi/4}^{\pi/2}sinxdx$

$\int sin x = - cos x$

$V =25\pi [-cos x]_{\pi/4}^{\pi/2}$

$V =25\pi [-cos (\pi/2)+cos(\pi/4)]$

$V =25\pi [0+\dfrac{1}{\sqrt{2}}]$

$V =\dfrac{25\pi}{\sqrt{2}}$

volume of the solid generated is equal to $V =\dfrac{25\pi}{\sqrt{2}}$

4 0

3 years ago

Ed is on a road trip. He has already traveled 203 miles and is driving at a rate of 63 miles per hour. Which equation could be u

valina [46]

C. 63x + 203 = 693 would be the answer

6 0

3 years ago

Find the slope of the line that passes through the pairs of points ( 7, 4), (-4,5)

lilavasa [31]

Answer:

The slope is 1/-11.

Step-by-step explanation:

Slope (m) =

ΔY /ΔX =

1 /-11 = -0.090909090909091

7 0

3 years ago

I NEED HELP PLEASE ...ASAP!!!!!

attashe74 [19]

-a²-3b³+c²+2b³-c²

= -(3)² - (3×2)³ + (-3)² + (2 × 2)³ - ( -3)²

= 9 - 24 + 9 + 16 - 9

= 1

answer is 1.

5 0

3 years ago