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Alexxandr [17]
3 years ago
6

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
The greatest common factor is 4t (we can see this by factoring it out and noting that there are no more common factors in the polynomial).  Factoring it out of both terms gives:
4t(t^2+2), which is the answer.
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A tree casts a 26 foot shadow. A boy standing nearby casts a 12 foot shadow, forming similar triangles. His height is 4.5 feet.
navik [9.2K]
The tree would be 9.75 feet tall.
7 0
4 years ago
What is the total lifetime cost for a loan had a principal of $5,500, an interest rate of 7.5% compounded monthly, and a duratio
Marizza181 [45]

Answer: the total lifetime cost for the loan is $11616.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years.

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = $5,500

r = 7.5% = 7.5/100 = 0.075

n = 12 because it was compounded 12 times in a year.

t = 10 years

Therefore,

A = 5500(1 + 0.075/12)^12 × 10

A = 5500(1 + 0.00625)^120

A = 5500(1.00625)^120

A = $11616.4

7 0
3 years ago
Through what angle does the minute hand of a clock turn in 12 minutes of time?
harina [27]
A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.
6 0
4 years ago
Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Comp
AysviL [449]

Answer:

We can create a one-variable equation and solve for x.

we set 35.25+0.11x equal to 14.25+0.32x

35.25+0.11x=14.25+0.32x

then we just solve for x to get 100

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the area of the shaded region.
MariettaO [177]

Answer:

Area of  shaded region = 134.13 square feet

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle

                                         = ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2

8 0
3 years ago
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