Answer:
<h3>C.
$56,900</h3>
Step-by-step explanation:
Given the equation of the Social Security (FICA) wage base y, (in thousands of dollars) from 1983 to 1988 expressed as y=1.9x+34.1
for us to calculate his wage base in 1995, we need to calculate the total number of years between 1983 to 1995 i.e 12 years
Substitute x = 12 into the expression above as shown;
y=1.9x+34.1
y = 1.9(12)+ 34.1
y = 22.8 + 34.1
y = 56.9
Since y is in thousand of dollars then
y = 56.9 * 1000
y = 56900
y = $56,900
Hence FICA wage base in 1995 is $56,900
Answer:
x < 5
<u>Explanation:</u>
7*x-35-(2*(x-5))<0
(7x - 35) - 2 • (x - 5) < 0
Pull out like factors :
5x - 25 = 5 • (x - 5)
5 • (x - 5) < 0
Divide both sides by 5
Add 5 to both sides
x < 5
Answer: 1.87 kg of pears
Step-by-step explanation:
7.5 kg of both apples and pears were sold. 3/4 of this 7.5 kg is apples which means the amount of apples sold is:
= 7.5 * 3/4
= 5.63 kg of apples
The amount of pears sold would therefore be:
= Total amount sold - Amount of apples
= 7.5 - 5.63
= 1.87 kg of pears
Answer:
The difference between the area of the original triangle and the area of the new triangle is
.
Step-by-step explanation:
The equation for the area of a triangle (
) is:

Where:
- Base, dimensionless.
- Height, dimensionless.
The expression for each triangle are described below:
First Triangle (
,
)

Second Triangle (
,
)

The difference between the area of the original triangle and the area of the new triangle is:



The difference between the area of the original triangle and the area of the new triangle is
.
The area under the curve from z=-2.2 to z=2.2 is 0.9722; 97.22% of the data fall within 2.2 standard deviations of the mean.
Looking at the z-table at http://www.z-table.com we see that the area to the left of z=-2.2 is 0.0139. The area to the left of z=2.2 is 0.9861. We find the area between them by subtracting:
0.9861-0.0139 = 0.9722 = 97.22%