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3 years ago

7

Thways Period: 1) Describe the difference between simple and compound interest.

1 answer:

Pepsi [2]3 years ago

6 0

Answer:

While both types of interest will grow your money over time, there is a big difference between the two. Specifically, simple interest is only paid on principal, while compound interest is paid on the principal plus all of the interest that has previously been earned.

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

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3 years ago

Joe won a lottery jackpot that will pay him $12000.00 eachyear

geniusboy [140]

Answer:

$3863.68

Step-by-step explanation:

Please see attachment

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2 years ago

I need to know how to find the value of x

anzhelika [568]

x = 15°

The angle of a straight line is 180°.

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Write a problem that could be solved by making a list

eduard

Going shopping and not wanting to forget what you need?

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428 students were surveyed about their preferences of sports. 133 students like football, 142 students like baseball, and 50 stu

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Step-by-step explanation:

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