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nekit [7.7K]
2 years ago
5

Help please- Annuities - Find Time of Investment Algebra Two

Mathematics
1 answer:
suter [353]2 years ago
5 0

Based on the calculation below, the number of years it would be for Mia to have $34,000 is 29.1 years.

<h3>How do we find the period or time of investment?</h3>

The formula in the question is the formula for calculating the future value of an ordinary annuity and it can be rewritten as follows:

A = d((((1 + i)^n) – 1) / i) …………………………… (1)

Where:

A = $34,000

d = $850

i = 0.4% * number of months in a year = 0.4% * 12 = 4.8% = 0.048

n = number of years?

Substitute all the values into equation (1) and solve for n, we have:

$34,000 = $850((((1 + 0.048)^n) - 1) / 0.048)

$34,000 / $850 = (((1 + 0.048)^n) - 1) / 0.048

40 = (((1 + 0.048)^n) - 1) / 0.048

40 * 0.048 = ((1 + 0.048)^n) – 1

1.92 + 2 = (1 + 0.048)^n

3.92 = 1.048^n

Taking the log of both sides, we have:

Log3.92 = nlog1.048

0.593286067020457 = n 0.0203612826477079

n = 0.593286067020457 / 0.0203612826477079

n = 29.1379515370189

Rounding to the nearest of a year, we have:

n = 29.1

Learn more about the future value of an ordinary annuity here: brainly.com/question/17925440.

#SPJ1

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At the end of the ride up a steep hill, Ken was at an elevation of 1600 meters above where he started. He figured out that he an
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Answer:


Step-by-step explanation:

first place)

in first place you must Know by definition that a joule is defined as the amount of work done by a constant force in a meter of length

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now you can calculate the time done by ken and his bicycle

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12 s is the time that ken with his bicycle ride up to the mountain

second )

having the time you can calculate the work done by ken individually

52kg×(1600)²/(12)² =133120000/ (12)² = 924444,4 and this is the  work done by  ken

Now you must substract  the work done by ken and his bicycle from  the work  done by ken individually in order to know  the work of the bicycle

1000000 joules -924444,4 joules  = 75555,6 joules

Having this amount, you can calculate the mass of the bicycle

and it is 1 J = 1 N ×m = 1 kg ×m/s² ×m= 1 Kg×m²/s²

75555,6 = kg *(1600) ²/(12)²⇒ 75555,6 =17777,7kg⇒ Kg = 75555,6/17777,7  = 4,25 kg

the mass of the  ken's bicycle is 4,25 kg


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Answer:

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