Mathematics, 29.12.2019 17:31 esmemaluma00

Ayoung company expects to double their profits every year for the next ten years. if their profits were $5,000 this year, which expression represents their profits after ten years?

5,000 × 2 × 10
5,000 × 210
5,0002 × 10
5,00010

Answers: 1

Show answers

Answers

Answer from: embersongracie

The second option: $5000 x 2^10.

Step-by-step explanation:

Initially the profits are $5,000 so after 1 year the profits will be doubled - that is 5000*2 = $10,000.

After 2 years the profits are 5000 * 2^2 = $20,000.

Therefore after 10 years the profits are 5000*2^10.

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Answer from: Quest

i would need to see the dot plot : )

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Factor the monomial completely 42a3b3

Answers: 3

Answer

Mathematics, 21.06.2019 17:40

What is the slope of the equation y =

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

Click the arrows to advance or review slides. mapping carbohydrates to food carbohydrates (grams) 15 food (quantity) bread (1 slice) pasta (1/3 cup) apple (1 medium) mashed potatoes (1/2 cup) broccoli (1/2 cup) carrots (1/2 cup) milk (1 cup) yogurt (6 oz.) 12 12 is jennifer's relation a function? yes no f 1 of 2 → jennifer figure out the difference between a function and a relation by answering the questions about her food choices

Answers: 2

Answer

You know the right answer?

Ayoung company expects to double their profits every year for the next ten years. if their profits w...

Questions