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3 years ago

Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Mathematics

2 answers:

trasher [3.6K]3 years ago

6 0

Answer by JKismyhusbandbae: 12

Solve the equation for a

Work: (listed in picture)

9966 [12]3 years ago

3 0

Simplify the equation:

(a + -5) + a = 19

Reorder the terms:

(-5 + a) + a = 19

Remove the parenthesis around (-5 + a) :

-5 + a + a = 19

Combine like terms:

a + a = 2a

-5 + 2a = 19

Final equation:

-5 + 2a = 19

To solve for variable A:

You have to move all terms containing A to the left, all the other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 2a = 19 + 5

Combine like terms again:

-5 + 5 = 0

0 + 2a = 19 + 5

2a = 19 + 5

Combine like terms:

19 + 5 = 24

2a = 24

Finally divide each side by '2':

a = 12

Simplify:

a = 12

Answer: A=12

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The Library charges a fine each day that a book is late. If Ben recently paid a $3.77 fine for a book that was 13 days late, wha

elixir [45]

total charge = days late * fine

3.77 = 13*fine

divide by 13 on each side

3.77 /13 = fine

.29

The charge is $.29 per day

8 0

3 years ago

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.