Answer: 1. the negative of the conclusion is true
Answer:
3.33%
Step-by-step explanation:
Given that :
Final amount A= 320
Principal P = 300
Time (t) = 2 years
Yes, the information is enough to obtain the interest rate :
Using the relation :
A = P(1 + rt)
r = interest rate
320 = 300(1 + r*2)
320 = 300(1 + 2r)
320/300 = 1 + 2r
1.0666666 = 1 + 2r
1.0666666 - 1 = 2r
0.0666666 = 2r
r = 0.0666666 / 2
r = 0.0333333
(0.0333333) * 100% = 3.33%
Explanation:
The formula isnt correctly written, it should state:
You have to start from 
and end in a³+b³. On your first step, you need to use the distributive property.
This is equal to
Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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