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3 years ago

The price of a calculator has decreased from $200 to $150. What is the percentage of decrease?

2 answers:

8 0

The percent of decrease will be 255 because if you subtract 200 and 150 you get 50 which you multiply by 100 and divide that by 200 and you get 25%. B) 25%

daser333 [38]3 years ago

7 0

B 25 percent

200 * .25 = 50
200-50 = 150

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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).

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

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

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Step-by-step explanation:

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