Answer:
The answer to your question is below
Step-by-step explanation:
Inequality 1
-4x + 1 > 13
-4x > 13 - 1
-4x > 12
x < 12/-4
x < -3
Inequality 2
4(x + 2) ≤ 4
4x + 8 ≤ 4
4x ≤ 4 - 8
4x ≤ - 4
x ≤ -4/4
x ≤ -1
Interval notation (-∞, -3)
See the graph below
The solution to these inequalities in where both intervals crosses
Perpendicular lines will have negative reciprocal slopes
B. y = -4x+ 5 and y = 1/4x + 4
D. y = x + 4 and y = -x + 4
E. y = -3 and x = -3
Answer:
16.52%
Step-by-step explanation:
The effective interest rate is the real interest rate you have to pay on a loan when the compounding effect is considered. The formula to calculate it is:
Effective annual interest rate= (1+
)^n-1
i= interest rate: 15.3%
n= number of compounding periods: 365 as it is compounded daily and a year has 365 days.
Effective annual interest rate= (1+(0.153/365))^365-1
Effective annual interest rate= 0.1652→16.52%
According to this, the effective interest rate is 16.52%.
Answer:
$16,725.21
Step-by-step explanation:
To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone
Recall that the volume V of a cone
= 1/3Pir^2h
where r is the base radius and h is the height
Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture
= 1/3 * 3.14 * 15^2 * 67
= 15,778.5 cubic inch
If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture
= 15,778.5 * 1.06
= $16,725.21