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kykrilka [37]
4 years ago
14

determine the amount of an investment if $250 is invested at an interest rate of 10.3% for 40 years. Round to the rearest penny

Mathematics
2 answers:
Mariana [72]4 years ago
4 0

Answer:

Final answer is $1280.

Step-by-step explanation:

Given that $250 is invested at an interest rate of 10.3% for 40 years.

Now we need to determine the amount of that investment after 40 years.

It doesn't say anything about compounding period so I will consider that as simple interest.

Hence let's use simple interest formula:

A=P(1+RT)

Where amount invested = P = 250

rate of interest = R = 10.3% = 0.103

Time = T = 40 years

Now plug these values into above formula

A=250(1+0.103*40)=250(1+4.12)=250(5.12)=1280

Hence final answer is $1280.

valina [46]4 years ago
4 0

Answer:

$1280.

Step-by-step explanation:

We have been given that an amount of $250 is invested at an interest rate of 10.3% for 40 years.

To find the amount after 40 years, we will use simple interest formula.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal as:

10.3\%=\frac{10.3}{100}=0.103

Upon substituting our given values in above formula, we will get:

A=\$250(1+0.103*40)

A=\$250(1+4.12)

A=\$250(5.12)

A=\$1280

Therefore, there will be $1280 in account after 40 years.

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What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?
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Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box 2\frac{1}{2} inches

                           =\frac{5}{2} inches  

Length of the box 1\frac{3}{4}inches

                           =\frac{7}{4} inches

Height of the box 3\frac{1}{4} inches

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The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is  ( \frac{5}{2}  × \frac{7}{4} × \frac{13}{4} )

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Pls solve. Showing your work is suggested.
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Answer:

Part 3) Miguel scored 29 points and Alonzo scored 25 points

Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

Step-by-step explanation:

Part 3) Let

x ----> the number of points that Miguel scored

y ---> the number of points that Alonzo scored

we know that

x+y=54 ----> equation A

x=y+4 ----> equation B

substitute equation B in equation A and solve for y

(y+4)+y=54\\2y=54-4\\2y=50\\y=25

Find the value of x

x=25+4=29

the solution is the point (29,25)

That means ----> Miguel scored 29 points and Alonzo scored 25 points

Part 4) Let

x ----> Morgan's age

y ---> Mr Santos' age

we know that

x+y=44 -----> equation A

x=y-15 ----> equation B

substitute equation B in equation A and solve for y

(y-15)+y=44\\2y=44+15\\2y=59\\y=29.5

Find the value of x

x=29.5-15=14.5

the solution is the point (14.5,29.5)

That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

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