3 years ago

I need help with this because i don't know how to do it i don't want an harmful links or any links please show work too

Mathematics

2 answers:

Marta_Voda [28]3 years ago

4 0

A! The answer is A I believe.

emmainna [20.7K]3 years ago

3 0

Answer is A. the first fraction can be simplified to -16, second to -4.5. a negative divided by a negative is a positive, and 3.56 can be rounded to 4.

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77julia77 [94]

Answer:

Present value = $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5% compounded continuously

Now,

Accumulated Value of the money flow = $1000e^{0.05t}$

The present value of the money flow = $\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt$

= $1000\int\limits^4_0 {e^{0.015t}} \, dt$

= $1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4$

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= $4,122.4

Accumulated interest = $e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt$

= $e^{0.035\times4}\times4,122.4$

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3 years ago