Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
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Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
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As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
You don't need to regroup when adding a two-digit number with a number.
Answer:
The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
Step-by-step explanation:
It is given that
Price of a shirt = S dollar
Price of a pair of pants = P
Total number of shirts = 3
Total number of pairs of pants = 2
Total price = Quantity × Price of each unit
Total price of 3 shirts = 3S
Total price of 2 pairs of pants = 2P
Total price of 3 shirts and 2 pairs of pants = 3S + 2P
Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
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