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3 years ago

Distribute and simplify the expression 3(x + 4) + 2(5 - x)

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

Answer:

=x+22

-by-step explanation:

Let's simplify step-by-step.

3(x+4)+2(5−x)

Distribute:

=(3)(x)+(3)(4)+(2)(5)+(2)(−x)

=3x+12+10+−2x

Combine Like Terms:

=3x+12+10+−2x

=(3x+−2x)+(12+10)

=x+22

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If AD equals 3X +3 CD equals X +9, what is the value of X?

kirill [66]

Answer:

x=3

Step-by-step explanation:

2x+3=9

2x=6

x=3

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4 years ago

At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

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3 years ago

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3 years ago

Which expression is equal to 0?

ahrayia [7]

C if its a question on plato

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4 years ago

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Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

boyakko [2]

$\boxed{\boxed{\text{Perimeter = 2(Length + Width)}}}$

Given that the perimeter is 16ft and width is 5 ft,
$16 = 2( Length + 5)$

Distribute 2:
$16 = 2Length + 10$

Take away 10 from both sides:
$2Length = 16 - 10$

Evaluate the right hand side:
$2Length = 6$

Divide by 2 on both sides:
$Length = 3$

$\boxed{\boxed{\text{Answer: Length = 3 ft}}}$

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4 years ago