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Anarel [89]
2 years ago
11

Are the expressions 8a - 3b - (2a + 4b) and 6a + b equivalent?

Mathematics
1 answer:
Margaret [11]2 years ago
3 0

Answer:

No.

Step-by-step explanation:

Let's start by simplifying the first expression:

8a-3b-(2a+4b)

Remove the parentheses:

8a-3b-(2a)-(4b)\\8a-3b-2a-4b

Combine like terms:

8a-2a-3b-4b\\6a-7b

6a-7b\neq 6a+b (Assuming that none of the variables are equivalent to 0)

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Step-by-step explanation:

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−n−4−−4n+6

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Step-by-step explanation:

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Suppose you want to have $300,000 for retirement in 25 years. Your account earns 8% interest. How much would you need to deposit
Rus_ich [418]

Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right]

1099.12P = 300000

P  = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

More can be learned about the future value formula at brainly.com/question/24703884

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