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Whitepunk [10]
3 years ago
5

Find each product or quotient. Express your answer in exponential form. (-x^5y^7)/y^3

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
Remember some laws
(ab)/c=a(b/c)
and
\frac{x^m}{x^n}=x^{m-n}
so

\frac{-x^5y^7}{y^3} =(-x^5)( \frac{y^7}{y^3})=(-x^5)(y^{7-3})=-x^5y^4
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monitta
13.5

14+13=27
27÷2=13.5
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3 years ago
How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
balu736 [363]
Any kind of Triangle must have 180 degree of angle in total if it is not, then it is not a Triangle.

In short, Your Answer would be Zero

Hope this helps!
6 0
3 years ago
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Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
4 years ago
Find the original price given the total amount and tax or tip rate. Total price: $307.32 Tax or tip rate: 20%
dsp73
20% of 307.32 = 61.464 (Rounded to the nearest tenth, 61.46)

307.32 - 61.46 = $245.86

8 0
3 years ago
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the length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Which equation co
Ksenya-84 [330]

Answer:

36 = (w+5)w = w^2 + 5w

Step-by-step explanation:

5 0
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