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3 years ago

Simplify by combining like terms -17+2(6x-1)+5

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

12x -14

Step-by-step explanation:

-17+2(6x-1)+5

Distribute the 2

-17 +2*6x -2*1 +5

Simplify

-17 +12x -2 +5

Combine like terms

12x -17-2+5

12x -14

earnstyle [38]3 years ago

5 0

$\huge\boxed{12x-14}$

Start with the original expression.

$-17+2(6x-1)+5$

Use the Distributive Property — multiply $2$ by both $6x$ and $-1$ .

$-17+12x-2+5$

Combine the like terms — add up all the constants.

$-14+12x$

Reorder the terms.

$\large\boxed{12x-14}$

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3 years ago

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3 years ago

Use the formula for compound amount:$14,800 at 6% compounded semiannually for 4 years

GalinKa [24]

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating compound amount

$A=P(1+\frac{r}{n})^{nt}$

where

A = final compounded amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

STEP 2: Write the given data

Semiannually means that n will be 2

$P=14,800,r=\frac{6}{100}=0.06,n=2,t=4$

STEP 3: Calculate the compound amount

$\begin{gathered} A=14800(1+\frac{0.06}{2})^{2\times4}\Rightarrow A=14800(1+0.03)^{2\times4} \\ A=14800(1.03)^8 \\ A=14800\times1.266770081 \\ A=\text{\$}18,748.1972 \end{gathered}$

Hence, the compounded amount after 4 years is $18,748.1972

6 0

1 year ago