Answer:
Answer:
a. ----> $10
b. ----> $110
Step-by-step explanation:
Step-by-step explanation:
principle ( p ) = $100
time ( t ) = 10 years
rate ( r ) = 11%
simple interest = (p × r × t)÷ 100
= ( $100 × 11 × 10 )÷ 100
= 11000 ÷ 100
= $110
interest = simple interest - principle
interest = $110 - $100
= $10
Answer:
107.50
Step-by-step explanation:
Given the following :
Midpoint (S)____F
S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2
Calculating the mean and standard deviation using a calculator :
The mean(m) of the data above = 98.12
Standard deviation (sd) = 4.02
Proportion = 99% of population
From z table = 2.33
Using :
Zscore =(x - m) / sd
2.33 = (x - 98.12) / 4.02
2.33 * 4.02 = x - 98.12
9.3666 = x - 98.12
9.3666 + 98.12= x
x = 107.4866
X = 107.50
Since the other angle that right next to it, the same angle you equal both angles together.
4x = 68.
We want to get x by its self. There is a 4 with the x and they're multiplying. to get rid of 4 we need to the opposite of multiplying which is division on both sides of the equation.
4x = 68
/4 /4
4 divided by 4 is 1 and 68 divided by 4 is 17
x = 17 is the answer.
If you plug in x = 17 into 4x, it will be 68
The left sum would be f0+f1+f2+f3
The right sum would be f1+f2+f3+f4
The trapezoidal rule value is:
(f0+f1)/2 + (f1+f2)/2+(f2+f3)/2 +(f3+f4)/2
This would put the trapezoidal rule in the middle , which makes the answer:
Lower sum < Trapezoidal rule Value < Upper sum
Answer:
The area is:
, option b.
Step-by-step explanation:
Rectangular area:
The area of a rectangular space is given bt the multiplication of its measures.
Area of the roof:
Dimensions of 10x + 8 and 8x + 6. So

Area of the skylight:
Dimensions of x + 5 and 3x + 4. So

What is the area of the remaining roof after the skylight is built?
Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

The area is:
, option b.