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2 years ago

What expressions are equivalent to (a^2-16)(a+4)

Mathematics

1 answer:

Eddi Din [679]2 years ago

7 0

Answer:

[(a)^2-(4^2)](a+4)

Step-by-step explanation:

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Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$

10 years, so $t = 10$

9% interest, so $r = 0.09$

There is $300.00 in the account, which means that $A = 300$

How much did Maureen earn doing odd jobs?

This is P.

$A(t) = P(1 + \frac{r}{n})^{nt}$

$300 = P(1 + \frac{0.09}{4})^{4*10}$

$(1.0225)^{40}P = 300$

$P = \frac{300}{(1.0225)^{40}}$

$P = 123.19$

Maureen earned $123.19 doing odd jobs

5 0

2 years ago

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eleven types of automobile, the linear corre

Zina [86]

Answer:

gay i am

Step-by-step explanation:

5 0

2 years ago

Which of the following does NOT show an identity property?

DerKrebs [107]

2+1=3 is not an identity property. The rest are because the value equals itself after dividing, subtracting, and multiplying.

6 0

2 years ago

Read 2 more answers

Solve for the variable m. <br>m - n = 5

Ber [7]

7=m

2=n

so it will be 7-2=5

7 0

2 years ago

Read 2 more answers

Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit

gulaghasi [49]

9514 1404 393

Answer:

a) $169,234.59

b) $19,234.59

Step-by-step explanation:

The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?

The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.

a) Assuming an "annuity", the formula is ...

A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years

A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance

b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...

$169,234.59 -150,000 = $19,234.59 . . . . interest earned

8 0

2 years ago