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3 years ago

Solve and check 5(g - 5) - (5 - g) =12. show work

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

$5 (g-5) - (5-g) = 12\\5g - 25 -5 +g =12\\6g -30 = 12\\6g = 42\\g = 7$

Check:

$5(7-5) - (5-7) = 5 (2) - (-2) = 10 + 2 = 12$

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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

4x+ 2( 3 – 3x) = 6 answer

motikmotik

Answer:

Step-by-step explanation:

4x+ 2( 3 – 3x) = 6

4x+6-6x=6

6-2x=6

6-6=2x

0/2=x

x=0

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3 years ago

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allsm [11]

Answer:

perimeters =41.2

area=91.65

Step-by-step explanation:

rectangle Perimeter(p) Area (A)

L=length 2 (L+W) L×W

W=width

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3 years ago

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denis-greek [22]

Answer:

The answer is option d

Since 64 is a perfect cube ³√64 = 4

and the exponents 27 and 125 are also perfect cubes ³√27= 3 and ³√ 125 = 5 respectively.

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Oksanka [162]

Answer:

X=5

Step-by-step explanation:

Trust me bro also it because if you input 5 into x you wille see that 3(5)+2=17

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