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Lina20 [59]
3 years ago
5

Write an equivalent expression d+d+d+e+e+e?please help ​

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0
Without context, d^3 + e^3 is equal to the equation you just showed.
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The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
The revenue from selling x shirts is r(x)=12x.
kenny6666 [7]

Answer:

p(x) = 7x - 20

Step-by-step explanation:

A company makes a profit selling goods when the revenue taken in from the sales is greater than the cost of those goods:  p(x) = r(x) - c(x) > 0.

In this case the revenue function is r(x) = 12x; the cost function is c(x) = 5x + 20, and the profit function is p(x) = 12x - (5x + 20), or:

p(x) = 12x - 5x - 20, or

p(x) = 7x - 20

4 0
3 years ago
Finding Present Value In Exercise,complete the table to determine the amount of money P that should be invested at rate r to pro
valkas [14]

Answer:

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $100000.

1) When t is 1,

100000 = P(1+0.04/12)^12×1

100000 = P(1+0.0033)^12

100000 = P(1.0033)^12

P = 100000/1.04

P = $96154

2) When t is 10

100000 = P(1+0.04/12)^12×10

100000 = P(1+0.0033)^120

100000 = P(1.0033)^120

P = 100000/1.485

P = $67340

3) When t is 20

100000 = P(1+0.04/12)^12×20

100000 = P(1+0.0033)^240

100000 = P(1.0033)^240

P = 100000/2.2

P = $45455

4) When t is 30

100000 = P(1+0.04/12)^12 × 30

100000 = P(1+0.0033)^360

100000 = P(1.0033)^360

P = 100000/3.274

P = $30544

5) When t is 40

100000 = P(1+0.04/12)^12 × 40

100000 = P(1+0.0033)^480

100000 = P(1.0033)^480

P = 100000/4.862

P = $20568

6)When t is 50

100000 = P(1+0.04/12)^12 × 50

100000 = P(1+0.0033)^600

100000 = P(1.0033)^600

P = 100000/7.22

P = $13850

5 0
3 years ago
3x + 1 = -2 (solve for x)
professor190 [17]

Answer:

x = -1

Step-by-step explanation:

3x + 1 = -2

Subtract 1 from both sides.

3x = -2 - 1

Simplify -2 - 1 to 3.

3x = -3

Divide both sides by 3.

x = -1

8 0
2 years ago
Help, I don’t understand the problem I tried but I keep getting the wrong answer
Eddi Din [679]
It’s too blurry
Make picture clearer
4 0
3 years ago
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