

By the remainder theorem, the remainder upon dividing a polynomial

by a linear binomial

is equal to

. Via synthetic division, we get
1 | 4 -5 6
. | 4 -1
- - - - - - - - - - -
. | 4 -1 5
which translates to

or

Indeed, when

, the first term on the right hand side vanished and we're left with 5.
Answer:
$113.40
Step-by-step explanation:
The dress is $180 subtracted by 30% ($54) and is now $126
$126 - 10% which is $12.60 and is now $113.40
Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 108
Sample mean,
= 107
Sample size, n = 110
Alpha, α = 0.02
Population standard deviation, σ = 7
Formula:
Putting all the values, we have

The test statistic is -1.50
Answer:
$1169.45
Step-by-step explanation:
Using the formula:

where;
Loan amount L = 160000
number of months (n) = 20 × 12 = 240
Lets assume that the interest rate per month c = 6.25% since it is not given.
i.e. (6.25/( 100*12) ) = 5.208 × 10⁻³
∴

P = $1169.45
AC = {0,2}
this is because it is what they have in common