(06.04)

Mathematics

2 answers:

andrey2020 [161]4 years ago

6 0

The first one is the answer

lys-0071 [83]4 years ago

5 0

1Fraction 1 over 5 units

Step-by-step explanation:

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When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 9

Dominik [7]

Answer-

You need to deposit $337.62 each month, to reach this goal.

Solution-

We know that,

$\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]$

Where,

P = periodic payment

r = rate per period

n = number of period

Here,

$FV\ of\ annuity=2,500,000,\\\\P=?,\\\\r = 9\%\ annually=\frac{9}{12}\%\ monthly=\frac{9}{1200}\ monthly\\\\n=45\ years=45\times 12=540\ months$

Putting the values,

$\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]$

$\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}$

$\Rightarrow P=\frac{2500000}{\frac{56.5365-1}{0.0075}}$

$\Rightarrow P=\frac{2500000}{\frac{55.5365}{0.0075}}$

$\Rightarrow P=337.62$

4 0

3 years ago

Read 2 more answers

Here is part of a timetable for the Paris to Montpellier express train service.

evablogger [386]

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km