Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Answer: 3/64
Step-by-step explanation: I think you ask 3/4 divided by 32/2 if you are the answer is 3/64. How to divided is first simplify the expression, if possible, by canceling the common factors. But if your asking me to do 32/2 divided by 3/4 the answer is 64/3 if you want it to be an improper fraction but if you want it to be a mixed fraction it would be 21 1/3. How to divided is first simplify the expression, if possible, by canceling the common factors.
Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer:
, option B
Step-by-step explanation:
Complex numbers:
The most important relation that involves complex numbers is given by:

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:
The solutions are:

We have to find the polynomial. All option have
. So

The correct answer is given by option b.
The point-slope form:

The formula of a slope:

We have the points (-4, -1) and (5, 7). Substitute:
