Mr Brown salary is $32,000 and increases $300 each year. Write a sequence showing the salary for the first 5 years. When will he make over $34,700.
In the nth year he makes
32000+300(n-1)
so, when does that exceed 34700?
32000+300(n-1) > 34700
300(n-1) > 2700
n-1 > 9
n > 10
To find the sequence of Mr. Brown's salary for the first 5 years, we can use the given information that his salary increases by $300 each year.
First, we have the initial salary of Mr. Brown as $32,000.
Year 1: $32,000 + $300 = $32,300
Year 2: $32,300 + $300 = $32,600
Year 3: $32,600 + $300 = $32,900
Year 4: $32,900 + $300 = $33,200
Year 5: $33,200 + $300 = $33,500
So, the sequence of Mr. Brown's salary for the first 5 years is:
$32,000, $32,300, $32,600, $32,900, $33,200, $33,500.
Now, to find when Mr. Brown will make over $34,700, we can set up an equation:
$32,000 + $300n > $34,700
Rearranging the equation:
$300n > $34,700 - $32,000
$300n > $2,700
Dividing both sides by $300:
n > $2,700 / $300
n > 9
Therefore, Mr. Brown will make over $34,700 after 9 years.
To find the sequence representing Mr. Brown's salary for the first 5 years, we first need to determine the increase in his salary per year. It is given that his salary increases by $300 each year.
Since his initial salary is $32,000, we can write the following sequence to represent his salary for the first 5 years:
First year: $32,000
Second year: $32,000 + $300
Third year: $32,000 + ($300 * 2)
Fourth year: $32,000 + ($300 * 3)
Fifth year: $32,000 + ($300 * 4)
Calculating these values:
First year: $32,000
Second year: $32,000 + $300 = $32,300
Third year: $32,000 + ($300 * 2) = $32,600
Fourth year: $32,000 + ($300 * 3) = $32,900
Fifth year: $32,000 + ($300 * 4) = $33,200
To determine when Mr. Brown will make over $34,700, we can set up an equation using his salary and the given amount:
$32,000 + ($300 * n) > $34,700
By simplifying and solving for n, we get:
$300 * n > $34,700 - $32,000
$300 * n > $2,700
Now, we divide both sides of the equation by 300:
n > $2,700 / $300
n > 9
This tells us that Mr. Brown will make over $34,700 after 9 years.