MATHEMATICS MIDDLE SCHOOL

You find a mutual fund that offers approximately 4% APR compoundedmonthly. How much money will you need to invest as a lump sum in order to
have $500 at the end of the year?
A. $507.89
B. $480.40
C. $518.92
D. $492.31

Answers

Answer 1
Answer:

Final answer:

To have $500 at the end of the year with a 4% APR compounded monthly, you would need to invest approximately $480.40 as a lump sum.

Explanation:

To find the amount of money needed to invest as a lump sum in order to have $500 at the end of the year with an approximate 4% APR compounded monthly, we can use the formula for compound interest:



A = P(1 + r/n)nt



Where:



A = final amount ($500)

P = initial investment (unknown)

r = annual interest rate (4% or 0.04)

n = number of times interest is compounded per year (12)

t = number of years (1)



Plugging the given values into the formula, we can solve for P:



P = A / ((1 + r/n)nt)

P = $500 / ((1 + 0.04/12)12*1)

P ≈ $480.40



Therefore, you would need to invest approximately $480.40 as a lump sum to have $500 at the end of the year.

Learn more about Investment here:

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Answer 2
Answer:

Answer: 480.40

Step-by-step explanation:

We can use the formula for compound interest to calculate how much money we will need to invest as a lump sum to have $500 at the end of the year.

FV = PV x (1 + r/n)^(nt)

FV = future value

PV = present value

r = interest rate

n = number of times compounded per year

t = time in years

We know that FV = $500, r = 4% or 0.04, n = 12 (since it is compounded monthly), and t = 1. We can plug in these values to solve for PV.

$500 = PV x (1 + 0.04/12)^(12 x 1)

$500 = PV x (1.003333)^12

$500 = PV x 1.0406

PV = $500 / 1.0406

PV = $480.40

Therefore, we will need to invest $480.40 as a lump sum to have $500 at the end of the year. So, the correct option is B. $480.40.

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2+2+3^19+(63/3) how come math is tiring me but science isn't

Answers

Answer:

Can you explain this more

Step-by-step explanation:

2+2=4

3^19 = 1162261467

63/3 = 21

21+4=25

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What is 12/25 divided by 4

Answers

By applying the knowledge of division of fractions, 12/25 divided by 4 is: \mathbf{(3)/(25)}

Given:

12/25 / 4

  • Thus:

(12)/(25) / (4)/(1)

The first step is to change the division sign to multiplication, then turn 4/1 upside down.

(12)/(25) * (1)/(4)

  • Multiply the denominator of both fractions and the numerators of both fractions

(12 * 1)/(25 * 4) \n\n= (12)/(100)

  • Simplify further

(3)/(25)

Therefore, by applying the knowledge of division of fractions, 12/25 divided by 4 is: \mathbf{(3)/(25)}

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In order to find the answer to this, you must first turn 4 into a fraction (4/1)

12/25 divided by 4/1 is the same as 12/25 multiplied by 1/4, because when dividing fractions, you must use the reciprocal of the divisor and multiply.

12/25 x 1/4 = 12/100 = 6/50 = 3/25

Your answer should be 3/25

How do you simplify 6(x-2)+7(x+2)

Answers

6x-12+7x+14
13x+2 

Not sure if this is right?
6(x-2)+7(x+2)
Distribute
6x-12+7x+14
Combine like terms
13x+2 

How do you break apart 3 x 5

Answers

you have to separate 3 five times so like 3+3+3+3+3=15

ELLO LOVE. ANSWER THIS PLS (brainliest)Determine the coordinates of the point shown.


A: (1.5, −0.5)
B: (−0.5, 1.5)
C: (3, −1)
D: (1, −1)

Answers

Answer:

It is choice A

Answer:

A

Step-by-step explanation:

x axis = 1.5

y axis = -0.5

(x, y) = (1.5, -0.5) = A is the right answer :D
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