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%
Hey there :)
To find the Greatest Common Factor ( GCF ) of 36, 40 and 45, let us first separate:
Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
Factors of 40: 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40
Factors of 45: 1 , 3 , 5 , 9 , 15 , 45
Therefore, the GCF is 1 since only that is common in all three.
To find the Least Common Multiple of 36, 40 and 45, we see which multiplication matches in the least:
36 × 1 = 36 | 40 × 1 = 40 | 45 × 1 = 45
36 × 2 = 72 | 40 × 2 = 80 | 45 × 2 = 90
36 × 3 = 108 | 40 × 3 = 120 | 45 × 3 = 135
36 × 4 = 144 | 40 × 4 = 160 | 45 × 4 = 180
36 × 5 = 180 | 40 × 5 = 200 | 45 × 5 = 225
36 × 6 = 216 | 40 × 6 = 240 | 45 × 6 = 270
36 × 7 = 252 | 40 × 7 = 280 | 45 × 7 = 315
36 × 8 = 288 | 40 × 8 = 320 | 45 × 8 = 360
36 × 9 = 324 | 40 × 9 = 360
36 × 10 = 360
Therefore, the LCM is 360
Answer:
False
Step-by-step explanation:
Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.
Hope this helped!
Answer:
160
Step-by-step explanation:
120 is three parts therefore one part must be 40
40*4 is 160
Answer:
2x + 4y = 4
-8x + 8y = -16.
Step-by-step explanation:
We can find an equivalent system by multiply the 2 equations by 2.
x + 2y = 2 multiplied by 2 is 2x + 4y = 4.
