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3 years ago

What is the numerator of the simplified sum?

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

Step-by-step explanation:

First, factor $x^{2}$ +3+2

Which equals (x+1)(x+2)

Then rewrite the expression with the common denominator

The fraction should now look like this

x+3(x+2)/(x+1)(x+2)

Now expand... you should have

x+3x+6/(x+1)(x+2)

Combine like terms and you get

4x+6/(x+1)(x+2)

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Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual

Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually = 1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

$A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}$

Substituting the known values for Tom, gives;

$A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P$

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

$A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P$

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

$PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%$

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0

3 years ago

Please help best answer gets brainliest

Evgesh-ka [11]

There is no question? Add a question

6 0

3 years ago

Simplify<br> (-4-8i)-(-1-3i)

AfilCa [17]

3 - 2i is the answer .

8 0

4 years ago

Half is a third of it.what is it?

Sati [7]

Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2

Now we just have a simple equation to solve:

1/3x = 1/2
x = (1/2) / (1/3)

Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore

x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5

To check this answer, test the statement. Half is a third of x, where x=1.5:

1.5 / 3 = 0.5 = 1/2

3 0

3 years ago

I don’t understand Please help!

AlekseyPX

Answer:

The answer is water.........

5 0

3 years ago