Answer:
remainder = 122
Step-by-step explanation:
Using the remainder theorem to evaluate the remainder
Division by x - 3 , thus evaluate f(3) for remainder
f(3) = 3³ + 14(3)² - 7(3) - 10
= 27 + 126 - 21 - 10
= 122 ← remainder
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
It’s A. The other ones don’t work.
FICA or Federal Insurance Contributions Act is composed of social security tax and medicare tax. Hence, we need to add these taxes to get the FICA tax.Social Security Tax is = 6.2%Medicare Tax is = 1.45%
Social Security Tax = 36,038*.062 = 2,234.356 Medicare Tax = 36,038*.0145 = 522.552
2,234.356 + 522.552 = 2,756.907 or 2,756.91
Therefore, Elias paid B.) 2,756.91 as FICA tax for the year.