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nekit [7.7K]
3 years ago
8

Thirty 5 points for this answer. no links. 4(a-2) = 2(a-4) + 2a

Mathematics
2 answers:
Anarel [89]3 years ago
5 0

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

qaws [65]3 years ago
5 0

This has infinitely many solutions.

Step-by-step explanation:

Any number you put for <em>a</em><em> </em>would work to make them equal. Feel free to try it.

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I need help on this question
leva [86]

Answer:

15.7

Step-by-step explanation:

The equation for finding the circumference of a circle is

2 x pi x r(radius). Radius is half the diameter.

5/2=2.5

2 x 3.14 x 2.5

=15.7

7 0
3 years ago
Estimate 0.067238149 to the nearest hundredth. Express your answer as a single digit times a
Maurinko [17]

Answer:

0.07

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the value of. X in this equation<br><br> 1.54x+6.814=8.2
sveticcg [70]

Answer:

x=0.9

Step-by-step explanation:

1. You first have to isolate the x term so you subtract 6.814 from both sides which makes the equation 1.54x=1.386

2. Then, to isolate "x", you divide 1.54 on both sides to get rid of the 1.54 which makes x=.9

5 0
3 years ago
what is the sum of the first five ferms of a geometric series with a1=10 and r=1/5? express your answer as an important fraction
mote1985 [20]
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number

Here you are given a=10 and r=1/5 so your equation is:

s(n)=10(1-(1/5)^n)/(1-1/5)  let's simplify this a bit:

s(n)=10(1-(1/5)^n)/(4/5)

s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:

s(5)=12.5(1-(1/5)^5)

s(5)=12.496

as an improper fraction:

(125/10)(3124/3125)

390500/31240

1775/142
6 0
3 years ago
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond
AURORKA [14]

Answer / Step-by-step explanation:

(a) The rate of return you expect to earn if you purchase a bond and hold it until maturity is the YTM.

If we recall the bond price equation for this bond is, we have

P0 = $1,060 = $100(PVIFAR%,21) + $1,000(PVIFR%,21)

Using a spreadsheet, financial calculator, or trial and error we find:

R = YTM = 9.42%

b) To find our HPY, we need to find the price of the bond in two years. The price of the bond in two years at the new interest rate, will be:

P2 = $100 (PVIFA 8.42%,17) + $1,000(PVIF 8.42%,17)

Therefore,  P2 = $1,139.6

(b2) To calculate the HPY, we need to find the interest rate that equates the price we paid for the bond with the cash flows we received. The cash flows we received were $100 each year for two years and the price of the bond when we sold it. The equation to find our HPY is therefore:

P0 = $1,060 = $100(PVIFAR%, 2) + $1,139.69(PVIFR%, 2)

Solving for R, we get:

R = HPY = 13.52%

Therefore,  the realized HPY is greater than the expected YTM when the bond was bought because interest rates dropped by 1 percent; bond prices rise when yields fall.

8 0
3 years ago
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