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Nataly_w [17]
3 years ago
15

Which Function is represented by the Graph

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0

Answer:

y = -2|x| + 1.

Step-by-step explanation:

We start with y = 2x which is a straight line passing through the origin with a slope of 2.

Taking the absolute value of x ( |x| ) gives  a graph shaped like a letter V with the point  at the origin.

Making that negative ( y = -2|x| ) inverts it vertically and then the  + 1 translates it up 1 unit.

Marysya12 [62]3 years ago
6 0

Answer:b

Step-by-step explanation:

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3 0
3 years ago
Write five fractions that each simplify to one-ninth
egoroff_w [7]
2/18
3/27
4/36
5/45
6/54

Take any number let's say 9
Then 9/9 = 1
Or 9/9 = 1/1
Then if you multiply the bottom half of those by 9, you get
9/9 becomes 9/81
and
1/1 becomes 1/9

So to generate any fraction equivalent to 1/9
take any number and write it as one, i.e. 5/5 = 1 (or 1/1)
and then multiply the bottom part by 9 = 5/45
3 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
S^2-17s-60=(s-5)(s-12)<br><br> What would be wrong about this equation? What is the correct version?
Sedbober [7]
The answer is -60=60

Simplifying
s2 + -17s + -60 = (s + -5)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (s + -5)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (-5 + s)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (-5 + s)(-12 + s)

Multiply (-5 + s) * (-12 + s)
-60 + -17s + s2 = (-5(-12 + s) + s(-12 + s))
-60 + -17s + s2 = ((-12 * -5 + s * -5) + s(-12 + s))
-60 + -17s + s2 = ((60 + -5s) + s(-12 + s))
-60 + -17s + s2 = (60 + -5s + (-12 * s + s * s))
-60 + -17s + s2 = (60 + -5s + (-12s + s2))

Combine like terms: -5s + -12s = -17s
-60 + -17s + s2 = (60 + -17s + s2)

Add '17s' to each side of the equation.
-60 + -17s + 17s + s2 = 60 + -17s + 17s + s2

Combine like terms: -17s + 17s = 0
-60 + 0 + s2 = 60 + -17s + 17s + s2
-60 + s2 = 60 + -17s + 17s + s2

Combine like terms: -17s + 17s = 0
-60 + s2 = 60 + 0 + s2
-60 + s2 = 60 + s2

Add '-1s2' to each side of the equation.
-60 + s2 + -1s2 = 60 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-60 + 0 = 60 + s2 + -1s2
-60 = 60 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-60 = 60 + 0
-60 = 60

Solving
-60 = 60
8 0
2 years ago
You invest 7500 into a mutual fund that is expected to earn 7% per year, how long will it take the fun to be worth 15000?
frozen [14]

Answer:

10.2 years

gain is $2,704.00

rate of return is 22%

Step-by-step explanation:

The it would take for mutual to double can be determined the future value formula as shown below:

=nper(rate,pmt,-pv,fv)

rate is the rate of return of 7% per year

pmt is the periodic amount placed in the mutual fund and it not applicable here

pv is the original amount invested which is $7,500

fv is the future worth of $15,000

=nper(7%,0,-7500,15000)=10.2 years

cost of shares=actual cost of purchase+broker's commission

                      =(800*$15.34)+$20=$12,292.00  

gain on shares=sales proceeds-cost=(800*$18.77)-$20-$12,292.00=$2,704.00  

rate of return=gain/original cost=$2,704.00/$12,292.00  =22%

5 0
3 years ago
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