3(2t+5)=5t+25
Multiply the bracket with 3
(3)(2t)(3)(5)=5t+25
6t+15=5t+25
Move 5t to the other side. Sign changes from +5t to -5t
6t-5t+15=5t-5t+25
6t-5t+15=25
Move +15 to the other side. Sign changes from +15 to -15
6t-5t+15-15=25-15
6t-5t=10
1t=10
divide by 1
1/1t=10/t
t=10
Answer: t=10
X/0.5 = 24
X/0.5(0.5) = 24(0.5)
X = 12
Answer:
x= 13
both angles are equal to 106
Step-by-step explanation:
8x + 2= 14x - 76
-8x +76 - 8x +76
78 = 6x
78/6 = 13
8 (13) + 2 = 104 + 2 = 106
14(13) - 76 = 182 - 76 = 106
Answer:
0.1587
Step-by-step explanation:
Here, mean=μ=100 and standard deviation=σ=16.
We have to find P(average MDI scores of 64 children > 102)=P(xbar>102).
n=64
μxbar=μ=100
σxbar=σ/√n=16/√64=16/8=2
P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)
P(xbar>102)=P(z>1)
P(xbar>102)=P(0<z<∞)-P(0<z<1)
P(xbar>102)=0.5-0.3413
P(xbar>102)=0.1587
Thus, the probability that the average is greater than 102 is 15.87%
Answer:
The answers are given below.
Step-by-step explanation:
The computation is shown below:
1.a.
Profit Margin = Net Income ÷ Sales × 100
= $374 ÷ $6,900 ×100
= 5.4%
1-b:
Average Assets = (Beginning Assets + Ending Assets) ÷ 2
= ($3,200 + $3,600) ÷ 2
= $3,400
Now
Return on Assets = Net Income ÷ Average Assets
= $374 ÷ $3,400
= 11%
1-c
Average Equity = ($700 + $700 + $320 + $270) ÷ 2
= $995
Now
Return on Equity = Net Income ÷ Average Equity *100
= $374 ÷ $995
= 37.59%
2:
Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings
= $270 + $374 - $320
= $324