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Semenov [28]
4 years ago
9

Just before his first attempt at bungee jumping, John decides to buy a life insurance policy. His annual income at age 30 is $36

,000, so he figures he should get enough insurance to provide his wife and new baby with that amount each year for the next 35 years. If the long-term interest rate is 6.9%, what is the present value of John's future annual earnings? (Round your answer to the nearest cent.) Rounding up to the next $50,000, how much life insurance should he buy? (Round your original answer to the nearest $50,000.) $
Mathematics
1 answer:
Elodia [21]4 years ago
5 0

Answer:

Present value of John's future annual earnings= 458,155.67

John should get life insurance equal to $450,000.

Step-by-step explanation:

Present value of an ordinary annuity

Present value =PMT*\frac{[1-(1+i)^-^n]}{i}

where PMT = the value of the individual payments in each period = $36,000

                i =  the interest rate that would be compounded in each compounding period = 0.069

               n = the number of payment periods = 35

Present value of John's future annual earnings = 36,000*\frac{[1-(1+0.069)^-^3^5]}{0.069}  = 458,155.67

458,155.67 rounded up to the nearest $50,000 is $450,000. therefore John should get life insurance equal to $450,000.

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A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed
Lelu [443]

Answer:

8 chickens

Step-by-step explanation:

Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.

Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.

Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens

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7 0
3 years ago
Patterinsin the multiplication table
victus00 [196]
1. The numbers in the section to the right of the diagonal (white squares) are the same as in the section to the left of the diagonal. Or, in other words, the numbers in the darker shaded section are repeated in the lighter shaded section.

2. The 10 × table is just the 10s in order (10, 20, 30, 40 and so on).

3. The 5 × table has numbers ending in 5 and 0 alternately, while the first digit increases every 2 numbers.

4. The 9 × table has the units decreasing by 1 and the 10s increasing by 1 each time (up to 10 × 9).

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Hope my answer helped u :)

3 0
3 years ago
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his sons age. The present age of son is
Svetlanka [38]

Answer:

The present age of son is 7

Step-by-step explanation:

Let the son age be x

One year ago

Son's age = x - 1

Therefore man's age = 8(x-1) =8x - 8

Now man's age = x^2

Difference between both ages if man =1 years

So

x^2 -(8x-8) = 1

x^2-8x + 8-1 =0

x^2- 8x + 7 = 0

x^2 - 7x -x + 7 = 0

X(x-7) - 7 ( x - 7) = 0

(x - 1) ( x - 7) = 0

x = 1, 7

But son cannot be 1 years

Therefore ,

x = 7

SO,

age of son is <em>7</em>

age of father is x×7=<em>49</em>

3 0
3 years ago
Jen knows that (-1, 41) and (5, 41) lie on a parabola defined by the equation y=4x^2-16x+21. How can I find the coordinates of t
andreyandreev [35.5K]
The vertex is at (2, 5).

To find the vertex, we first find the axis of symmetry; this is given by

x = -b/2a

For our equation, b = -16 and a = 4:
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We substitute this back into our equation:
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8 0
3 years ago
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Gemiola [76]

Answer:

B. 13

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If you may, award me with brainliest xo

3 0
3 years ago
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