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amid [387]
3 years ago
10

-6 < x - 4 < 2 solve

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

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A car salesman had $65,100 in sales. He earned $1,953 in commission. What percent commission did he earn. Explain your answer.
ahrayia [7]

Answer:

1. The percent commission earned is 3%.

2. The loan period is 3.29 years.

Step-by-step explanation:

1. Salesman has $65,100 in sales. He earned $1,953 in commission.

Let the percent commission earn be x%

Therefore, x% of the sales equals $1,953

\frac{x}{100} of  $65,100 = $1,953

\frac{x}{100}  * 65100 = 1953\\\frac{65100x}{100} = 1953

We cross multiply

\frac{65100x}{100}  = 1953\\65100x = 1953 * 100\\65100x = 195300

Divide both side by the coefficient of 'x' (65100)

\frac{65100x}{65100} =  \frac{195300}{65100} \\x = 3

Therefore, the percent commission earned is 3%

2. Interest (I) = $299  Principal (P) = $1300   Rate (R) = 7%

The formula for finding interest is given as: I = \frac{PRT}{100}

Therefore, substituting into the formula, we have:

299 = \frac{1300 * 7 * T}{100}

We are finding the time it takes the loan to earn an interest of $299

299 = \frac{1300 * 7 * T}{100} \\299 = \frac{9100T}{100}

We cross-multiply:

299 * 100 = 9100T\\29900 = 9100T

Divide both side by the coefficient of T (9100)

\frac{29900}{9100}  = \frac{9100T}{9100}\\T = 3.29

Therefore, the time taken for the loan to earn such interest is approximately 3.29 years

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