Answer:
r ≈ 7.18%
Step-by-step explanation:
a = p(1 + r)^n
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a = 10000 * 2 = 20000
p = 10000
n = 2035 - 2025 = 10
Plug in the knowns
20000 = 10000(1 + r)^(10)
Divide both sides by 10000
2 = (1 + r)^(10)
Take the log of both sides
log2 = 10 * log(1 + r)
Divide bot sides by 10
(log2)/10 = log(1 + r)
use calculator
0.030102999566398 = log(1 + r)
antilog both sides
10^0.030102999566398 = 1 + r
1.0717734625 = 1 + r
Subtract 1 from both sides
0.0717734625 = r
r ≈ 7.18%
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Alternate method
2 = (1 + r)^(10)
Take 10th root of both sides
1.0717734625 = 1 + r
Subtract 1 from both sides
0.0717734625 = r
r = 7.18%
Answer:
D) no solution.
Step-by-step explanation:
4(x + 1) ≤ 4x + 3
First, distribute 4 to all terms within the parenthesis:
4(x + 1) = 4(x) + 4(1) = 4x + 4
4x + 4 ≤ 4x + 3
Isolate the variable, x. Treat the "≤" as an equal sign, what you do to one side, you do to the other. Subtract 4x and 4 from both sides:
4x (-4x) + 4 (-4) ≤ 4x (-4x) + 3 (-4)
4x - 4x ≤ 3 - 4
0 ≤ -1
Since x was eliminated from the inequality, and you need the x for the inequality, your answer is D) no solution.
~
14% is 14/100 or 0.14
56 * 14 / 100 = 7.84
Answer:
2 2/12 1 5/12
2-1
1 2/12 - 5/12
7/12 bags of apples left
Step-by-step explanation:
Answer:
In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.
