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3 years ago

Find the height of a trapezoid with bases of 2 inches and 915 inches and an area of 3915 square inches.

Mathematics

1 answer:

miss Akunina [59]3 years ago

5 0

3915+ 915= 550 -2= 448

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A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is th

pav-90 [236]

Answer:0.000810

Step-by-step explanation:

Given

A committee of 3 members is formed using

5 Admin, 34 teachers, and 4 staff

Favorable outcomes are selecting 3 members as Administrators

total members =5+34+4=43

Probability is given by

$\Rightarrow P=\dfrac{\text{Favorable}}{\text{Total}}$

$\Rightarrow P=\dfrac{^5C_3}{^{43}C_3}=\dfrac{10}{43\times 41\times 7}\\\\\Rightarrow P=\dfrac{10}{12,341}=0.000810$

6 0

3 years ago

I need help with questions 20 through 25 please. (Attachment is below)

mezya [45]

I only got 22-25 done cause its been a long time since ive done these so i don't remember how to do the first two ):

5 0

3 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

ser-zykov [4K]

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

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

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

(1,000*(1.09)+10)*1.09 +10 =

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

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

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

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

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

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

rounded to the nearest hundredth.

5 0

3 years ago

A DVD player that normally cost $160 is on sale for 70% of its normal price.What is the sale price of the DVD player.

maw [93]

160 $ = 100%
x $ = 70%

100 x = 11200
x = 112

160,00 - 112,00 = 48,00$

7 0

3 years ago

Express the ratio as a fraction in the lowest term.500m:1km

snow_lady [41]

Step-by-step explanation:

500:1000

500/500:1000/500(both divided by 500-

1:2

7 0

3 years ago