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podryga [215]
4 years ago
8

Parents wish to have $130,000 available for a child's education. If the child is now 6 years old, how much money must be set asi

de at 4% compounded semiannually to meet their financial goal when the child is 18?

Mathematics
1 answer:
n200080 [17]4 years ago
8 0

Answer:

Step-by-step explanation:

We know that:

FV = $130,000

r = 4% (semiannually )

We need to find number of periods (n) , the child is now 6 years old, until the child is 18 is 12 years. But it is the rate is compounded semiannually, so n = 12*2 = 24

We have the fomula to find out periodic payment (see the attached photo)

=> pmt = 3326.288

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You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. a) How many cubic fee
NeTakaya

Answer:

a) The hot tub can hold 90 cubic feet when completely full.

b) the Hot tub ca hold 667.62 gallons.

c) It will cost approximately $3.34 to fill the hot tub with water.

Step-by-step explanation:

Given:

Length of the tub = 6 feet

Width of the tub = 5 feet

Height of the tub = 3 feet.

a) We need to find how many cubic feet can the hot tub hold if it is completely full.

Now we will find the volume of the tub;

Now Volume of the tub is given by length times width times height.

framing in equation form we get;

Volume of the tub = 6\times5\times3 = 90\ ft^3

Hence The hot tub can hold 90 cubic feet when completely full.

b) Now we need to find how many gallons can it hold.

Given:

1 cubic foot = 7.418 gallons

90 cubic foot = number of gallons hot tub can hold.

By using Unitary method we get;

number of gallons hot tub can hold = 7.418 \times 90 = 667.62\ gallons.

Hence the Hot tub ca hold 667.62 gallons.

c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.

Now Given:

1000 gallons = $5

667.62 gallons = Cost to fill the hot tub with water.

By Using Unitary method we get;

Cost to fill the hot tub with water = \frac{5\times667.62}{1000} \approx \$3.34

Hence It will cost approximately $3.34 to fill the hot tub with water.

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