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.
Answer:
x < 27
Step-by-step explanation:
x + 16 < 43
move the constant to the right-hand side and change its sign
x < 43 - 16
subtract the numbers
x < 27
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X < 27
alternative form
X ∈ ( - ∞ , 27 ) , { x | x < 27 }
Search it up on safari and you’ll find the answer
Answer:
3+3tt=total amount of snow
Step-by-step explanation:
y=mx+b is used to show increase
In this case, b is the original 3 inches of snow. m is the constant growth, and x is tt, or the amount of time it is being compared to. y is the total.
Answer: p=−5
Step-by-step explanation:
Step 1: Add 2p to both sides.
p+2p=−2p−15+2p
3p=−15
Step 2: Divide both sides by 3.
3p/3 = −15/3
p=−5
