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borishaifa [10]
3 years ago
5

Solve for x. 2x/3 + 1 = 3 x = 1 x = 2 x = 3 x = 6

Mathematics
2 answers:
densk [106]3 years ago
4 0

Answer:

The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.

Step-by-step explanation:

Snowcat [4.5K]3 years ago
3 0

Answer:

\boxed {\tt x=3}

Step-by-step explanation:

We want to solve for x, therefore we must isolate the variable.

We are given the equation:

\frac{2x}{3} +1=3

1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.

\frac{2x}{3}+1-1=3-1

\frac{2x}{3} =2

2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.

3*\frac{2x}{3} =2*3

2x=2*3

2x=6

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

\frac{2x}{2} =\frac{6}{2}

x=\frac{6}{2}

x=3

The solution to the equation is x=3.

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Answer:

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Step-by-step explanation:

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

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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}}

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Substituting the values, we get,

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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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