Xy2 and 2xy are the only ones with common factors
It's quite simple when you break it down
20/45 let's divide by 5
4/9
we can't divide anymore, no common denominator. The answer is 4/9
Answer: B. Ryder had $6.25. He needs to buy school supplies and ends up owing his mother $2.50
Step-by-step explanation: The number line only has single digits and every other answers have extreme changes while B has the lowest change that fits in the number line.
Answer:
y = 7/2x -11/2
Step-by-step explanation:
7x-2y=11
Subtract 7x from each side
7x-2y -7x = -7x+11
-2y = -7x+11
Divide each side by -2
-2y/-2 = -7x/-2 +11/-2
y = 7/2x -11/2
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.
