The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
1 answer:
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Question:
A salesperson earns commission on the sales that she makes each month.
The salesperson earns a 5% commission on the first $5,000 she has in sales.
The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.
Part A:
This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?
Part B:
The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?
Answer:
A) The amount of commission = $575
B) The total sales amount = $20000
Step-by-step explanation:
<h3><u>Part A </u></h3>Given:
Total amount earned = $8,000 in sales
To Find :
The amount of commission, in dollars
Solution:
The commission she earns = Commission 1+ Commission 2----------(1)
Commission 1 = 5% of 5000
Commission 2 = 7.5 % of (8000- 5000}
Finding commission 1:
= 5% of 5000
=
=
= $250 ------------------------------(2)
Finding commission 2:
= 7.5 % of (3000)
=
=
= $225----------------------------------(3)
Substituting (2) and (3) in (1)
The commission she earns = $250 + $225 = $575
<h3><u>Part B</u></h3>Given:
Total commission earned = $1375
To Find :
The total sales amount = ?
Solution ;
Let the sales amount be x
Then
1375 = 5% of 5000 + 7.5 % of (x -5000)
1375 = 250 + 0.075x - 375
1375 = -125 + 0.075 x
1375 +125 = 0.075 x
1500 = 0.075x
x = 20000
The total sales amount is $20000
Initial Deposit = $7000
It means P= $7000
rate of interest = 10%
So , r = 0.10
compounded quarterly , so n = 4
and we have to find the amount after 5 years , So t = 5
Now the formula we use here is
So amount after 5 years = $11470.315