Question

Marquis begins a career making $53,000 per year. Each year, he is to receive a $1,600 raise. After 25 years, how much total money will Marquis have earned from this career?
$1,792,000
$1,805,000
$1,844,975
$1,845,000

Answer 1

Answer:

B

Step-by-step explanation:

Took the test on edge

Answer 2

First, you find what he will be making in the 25th year:

$a_{n} = a_{1} +(n-1)d$
$a_{25}= 53000+(25-1)1600$
               = 53000+(24)1600
               =53000+38400=91400

So in year 25 he was making $91400
To find the sum of all of that the formula is $S_{n} = \frac{n}{2}( a_{1} + a_{n)}$
In this case we are trying to find $S_{25}$ and n=25, $a_{1} =53000$ and $a_{25} = 91400$ so we just plug it in
$S_{25}= \frac{25}{2}(53000+91400)= \frac{25}{2} (144400) =1805000$

Hope that helps