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2 years ago

Simplify 10p4

Mathematics

1 answer:

Ivan2 years ago

8 0

10P4 = 10! / (10-4)! = 10*9*8*7 = 5040

9C4 = 9! / 5! 4! = 9*8*7*6 / 4*3*2*1 = 126

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Solve the inequality

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Answer:

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Step-by-step explanation:

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2 years ago

The length of the bed of Deans truck is 76inches. What is the length of the bed of Deans truck in yards

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Answer:

Roughly 2.11 or 19/9 yards

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2 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

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Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

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1,000

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End of year 2 (capital + interest + new deposit)

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End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

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is the sum of a geometric sequence with common ratio 1.09 and is equal to

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and the future value is then

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$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

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2 years ago

Given B is between A and C, find the value of x if AB = 27, BC = 11x, and AC = 159

True [87]

Answer:

Step-by-step explanation:

Since, B is between A and C.

$\therefore AB + BC=AC \\ 27 + 11x = 159 \\ 11x = 159 - 27 \\ 11x = 132 \\ x = \frac{132}{11} \\ x = 12$

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