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Elina [12.6K]
1 year ago
6

Answer for this question?

Mathematics
1 answer:
CaHeK987 [17]1 year ago
5 0

Answer:

a = p(1 +  \frac{r}{100} )^{t}  \\

44000(1+.0825)^10=$97214.65≈$97215 to the nearest dollar

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
The perimeter of a television screen is 94 inches it is 17 inches tall how wide is it
Nadya [2.5K]
<h3>Answer:  30 inches</h3>

==========================================================

Explanation:

x = unknown width

For this rectangle, there are 2 sides of length x, and 2 sides of length 17.

The perimeter is P = 2x+2*17 = 2x+34

Set this equal to the given perimeter (94) and solve for x.

2x+34 = 94

2x = 94-34

2x = 60

x = 60/2

x = 30

The TV is 30 inches wide

5 0
2 years ago
Last month, John's dog ate 45 cans of dog food in 30 days. How many cans should John buy to feed his dog for the next 6 days?
Anna35 [415]

Answer:

John needs to buy 9 cans to feed his dog for the next 6 days

Step-by-step explanation:

1.5 cans per day (45/30) apply that 1.5 × 6 = 9

4 0
3 years ago
Madeline invests $25,000 in an account that offers a compound interest rate of 9.5% per year. Which of the following is the corr
LekaFEV [45]
Use this equation:   Amount after years=Initial investment*(1+Interest rate/time compounded yearly)^number of years*times compounded yearly

So A=25,000(1+.095/1)^8*1
Simplify
A=25000(1.095)^8
Simplify
A=25000(2.07)
Solve
A=$51,671.73

This equation can be used for all problems of this type.

5 0
2 years ago
A local little league has a total of 75 ​players, of whom 20​% are right​-handed. How many
solmaris [256]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
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