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Bas_tet [7]
2 years ago
5

Need help asap please!!!

Mathematics
1 answer:
muminat2 years ago
7 0

Answer:

Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1

Step-by-step explanation:

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How Much Have I Saved? Portfolio
avanturin [10]

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
  • 3) The difference in principal is approximately $8,000
  • The difference in interest earned is approximately $2,977.87
  • 4) It is better to invest more money at the beginning of the 30 years

Reasons:

Option 1: Present value = 0

Amount invested per month, A = $25/month

The Annual Percentage Rate, APR, r = 3.25%

Number of years = 30

The future value of an annuity is given by the formula;

\displaystyle FV_{A} = \mathbf{A \cdot \left (\frac{ \left(1 + \frac{r}{m} \right)^{m\cdot t} - 1}{\frac{r}{m} } \right)}

In option 1, m = 12 periods per year

Therefore;

\displaystyle FV_{A} = 25 \times \left (\frac{ \left(1 + \frac{0.0325}{12} \right)^{12 \times 30} - 1}{\frac{0.0325}{12} } \right) \approx  \mathbf{15,209.3}

Contribution = $25 × 12 × 30 = $9,000

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%

Therefore;

The effective interest rate is therefore;

\displaystyle r_{eff} = \left(1 + \frac{0.04}{4} \right)^4 - 1 \approx \mathbf{0.04060401}

\displaystyle FV_{A} = 75 \times \left (\frac{ \left(1 + \frac{0.04060401}{4} \right)^{4 \times 30} - 1}{\frac{0.04060401}{4} } \right) \approx  17,437.7

Using an online calculator, FV = $17,467.04

Contribution = $75 × 4 × 30 = $9,000

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

Final balance = $17,467.04

Option 3: Present value = $1,000

APR = 6.25%

m = 12 period per year

Number of years, t = 30 years

Therefore;

\displaystyle FV = \left (1 + \frac{0.0625}{12} \right)^{12 \times 30} \approx \mathbf{6,489.17}

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 <u>option 3</u>

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

2) <u>Option 2</u> 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.

3) The difference in the principal invested for the highest and lowest final balance is $9,000 - $1,000 = <u>$8,000</u>

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

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, <u>it is better to invest more money at the beginning</u>.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0
3 years ago
Given x=-3, y=6, and z=-4 xz/-2y
zimovet [89]

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

= 12/-12

= -1

8 0
3 years ago
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In which quadrant of the coordinate graph does point R lie?
Sergio [31]
Your answer is d Its on the fourth quadrant! that Is really easy!
5 0
3 years ago
Read 2 more answers
Kaylin is tracking the progress of a plant’s growth. Today the plant is 4 cm high. The plant grows 0.5 cm per day.
antoniya [11.8K]

Answer: I dont know the answer becuase this makes no sinse what are you trying to ask because all you are saying is how much it grows a day

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!!
TEA [102]
1. The function of this graph is f(x) = 0.5x + -2 
Plug (-2) into the x variables so it looks like: 
f(-2) = 0.5 (-2) + -2
Then solve. 
Answer: f(-2) = -3 
**I'm not as sure about this one, so I might be wrong

2. 
For #8, the y-intercept is 4 (you're right) and it represents the initial distance before she started hiking (D) 
I tried to figure #9 out, but I couldn't find the answer. I came across a website that might help though: https://sciencing.com/determine-practical-domain-range-10052000.html
**I can't see #s 6 or 7
6 0
3 years ago
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