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2 years ago

Solve for u. - 4(w + 1) = -24

Mathematics

2 answers:

marta [7]2 years ago

4 0

W=-21 Move the four over to the 24 leaving you with negative 20 and then “subtract” one

Licemer1 [7]2 years ago

4 0

Answer: w = 5

Step-by-step explanation: I think you mean solve for w

1. distribute = -4w -4 = -24

2. add 4 from each side = -4w = -20

3. divide -4 from each side and you should get w = 5

you can plug it in to make sure it is right:

-4(5+1) = -24 -> -4(6) = -24 -> -24 = -24

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The time value of money calculation can be performed using formula equations or online calculators.

The correct responses are;

1) Option 3

2) Option 2

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4) It is better to invest more money at the beginning of the 30 years

Reasons:

Option 1: Present value = 0

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Total interest earned = $15,209.3 - $9,000 = $6,209.3

Final balance = $15,209.3

Option 2: Present value = 0

Amount, A = $75/quarter

m = 4 periods per year

The Annual Percentage Rate, APR = 4.00%

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The effective interest rate is therefore;

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Using an online calculator, FV = $17,467.04

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Total interest earned = $17,467.04 - $9,000 = $8,467.04

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Option 3: Present value = $1,000

APR = 6.25%

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Number of years, t = 30 years

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Contribution = $1,000

Total interest earned = $6,489.17 - $1,000 = $5,489.17

Final balance = $6,489.17

The table of values is therefore;

$\begin{tabular}{|c|c|c|c|}Option \# &Contribution &Total Interest Earned&Final Balance\\1&\$9,000&\$6,209.3 & \$15,209.3\\2&\$9,000&\$8,467.04 &\$17,467.04\\3&\$1,000&\$5,489.17&\$6,489.17\end{array}\right]$

1) The option that has the least amount invested are option 3

Option 3 investment plan is a present value of $1,000, invested for 30 years at 6.25% APR compounded monthly.

2) Option 2 yielded the highest amount at the end of 30 years, given that the APR is higher than the APR for option 1, although the amount invested over the period are the same.

The basis of option 2 investment plan is $75 invested quarterly at 4.00% APR compounded monthly for 30 years.

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The difference in the interest earned is; $8,467.04 - $5,489.17 = $2,977.87

4) In option 1 the present value is zero, therefore zero amount was invested at the beginning.

The interest to investment ration is 6,209.3:9,000 ≈ 0.7:1

In option 3, all the money was invested at the beginning.

The interest to investment ratio of option 3 is; 5,489.17:1,000 ≈ 5.5:1

Given that the interest to investment ratio, which is the return on investment is larger when more money is saved at the beginning as in option 3, it is better to invest more money at the beginning.

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