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2 years ago

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

Mathematics

1 answer:

vredina [299]2 years ago

3 0

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.

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The temperature was 78°F at 3 P.M. Each hour for

polet [3.4K]

Answer:

66 °F

Step-by-step explanation:

At 4 P.M., the temperature had decreased by 3° from the temperature at 3 P.M., so was ...

4 P.M. temp = 78 °F -3° = 75 °F

This was repeated until 7 P.M.

5 P.M. temp = 75 °F -3° = 72 °F

6 P.M. temp = 72 °F -3° = 69 °F

7 P.M. temp = 69 °F -3° = 66 °F

The temperature at 7 P.M. was 66 °F.

Of course the repeated subtraction can be simplified using multiplication. The subtraction of 3° four times is equivalent to the subtraction of . . .

(3°)(4) = 12°

That is, the temperature at 7 P.M. is ...

78 °F -3°×4 = 78 °F -12° = 66 °F

6 0

2 years ago

Please help and show working outs of the screenshot attached

Degger [83]

Answer:

Hey, do you know how to screenshot images? There is also a website for Brainly if needed

Step-by-step explanation:

6 0

3 years ago

Need help fast.

Lisa [10]

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

The diagonal is the width times √17.

4 0

3 years ago

Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog. What algebraic expression could you make to find (g) which

emmasim [6.3K]

Given that Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog, it is important to know the following:

1. The word "more" indicates an Addition.

2. The word "times" indicates Multiplication.

Knowing this, you can write the following expression to represent "5 times the weight of Gail’s dog", where "g" is the weight of Gail’s dog:

$5g$

Therefore, you can determine that the weight of Allison's dog (in pounds) is the sum of 6 pounds and 5 times the weight of Gail's dog (in pounds). Then, you can represent this with this algebraic expression: