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Marta_Voda [28]

4 years ago

11

he price of oil recently went from $6.60 to $8.80 per case of 12 quarts. Find the ratio of the increase in price to the origin

al price

1 answer:

Artist 52 [7]4 years ago

8 0

It increased by $2.20, so the increase is 2.20. But out of ten dollars, it should be a 24% increase.

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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.

4 0

3 years ago

@ranga @Becki . A new car has a sticker price of $22,450, while the invoice price paid was $19,450. What is the percentage marku

densk [106]

To answer the problem given above, divide the difference of the prices by the original price and multiply the answer by 100%. This is,
((22450 - 19450) / 19450) x 100% = 15.42%
Therefore, the percentage markup of the new car is approximately 15.42%.

7 0

3 years ago

Can someone pleaseeee help if you’re correct I’ll give u brainlist

nadezda [96]

Answer:

4

Step-by-step explanation:

this is an equilateral triangle, meaning all sides and angles are the same

5 0

3 years ago

If 15 members vote to choose 4 group leaders, what is the probability that 4 candidates will be chosen for 4 positions

tekilochka [14]

Answer:

$\frac{4}{60}$ = $\frac{1}{15}$

Step-by-step explanation:

8 0

2 years ago

What is 30% off if 11. 20

GalinKa [24]

The correct answer is $7.84

4 0

3 years ago

Read 2 more answers