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3 years ago

(24)(36)/48 reduce before multiplying or dividing

Mathematics

1 answer:

harina [27]3 years ago

3 0

The answer is 12 because 24/2=12 and 36/3=12 and 48/4=12 and thats the answer to the problem

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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

4 years ago

Melissa's employer matches retirement funds 1:2 up to 6% of salary. She makes $55,000 per year. How much should she contribute t

gtnhenbr [62]

Answer: $1100

Step-by-step explanation:

The employer contributes, along with Melissa, in the ratio of 1:2

Up to 6% of $55000, therefore 6/100 x 55000 = 3300

Split in the ratio of 1:2, she will contribute 1/3 of 3300 = 1100

and the employer will contribute 2/3 of 3300 = 2200

3 0

4 years ago

This is a middle school question Solve for x. 1.2(x - 4.4 ) + 7 < 16 plssss hurry

Tatiana [17]

Answer: x < 11.9

Step-by-step explanation:

8 0

3 years ago

Solve for x: 7x = 63

elena55 [62]

Answer:

x = 9

Step-by-step explanation:

7x = 63

Divide each side by 7 to isolate x

7x/7 = 63/7

x = 9

4 0

4 years ago

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What is the smallest degree of rotation that will map a regular 18-gon onto itself?

Korolek [52]

Because the 18-gon is symmetrical, you can rotate it by 360/18 or 20 degrees. This is because when you rotate it by 20 degrees(to the left for explanation matters), any angle will now be in the position of its angle to its left.

6 0

3 years ago

Read 2 more answers