Answer:
15
Step-by-step explanation:
(-7,0) and (8,0) are on the opposite side of origin of x axis
d = 8 - -7 = 15
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:
To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.
Step-by-step explanation:
Hope this helps ❤️
Answer: It would be A, B, and lastly E.
Answer:
3x^2 - 9x + 8
Step-by-step explanation:
To simplify:
- Distribute the -1 into the second term.
- Collect and combine like-terms (terms with the same variables or powers)
The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)
After distributing the -1, the equation becomes:
- (2x^2 - 5x + 3) + (x^2 - 4x + 5)
The like-terms are:
- 2x^2 and x^2
- -5x and -4x
- 3 and 5
Combine the like-terms:
- 2x^2 + x^2 = 3x^2
- -5x - 4x = -9x
- 3 + 5 = 8
Substitute the simplified like-terms into the expression, in descending order:
