Current price is $14.98.
$14.98/.50 = $29.96. This was the price after the 20% mark down. Now calculate the original as follows:
$29.96/.80 = $37.45. This is the original price before all the discounts.
Answer:
D, the bottom right
Step-by-step explanation:
A dilation by a factor of 3 would have values 3 times larger. So the original which has side lengths 2, 6, and 3 would become
2*3 = 6
6*6 = 36
3*6 = 18
The figure which has these measurement is D or the bottom right.
a) Explain why this sequence is an arithmetic sequence.
It is an arithmetic progression since it is a succession of numbers such that the difference of any pair of successive terms in the sequence is constant, in this case, it is 3.
b) Write out the sequence using blanks where appropriate.
Week|Distance
1 5
2 8
3 1 1
4 14
. .
. .
. .
c) Write the explicit formula for the sequence.
an = a1 + d*(n -1)
an = 5 + 3*(n - 1)
an = 5 + 3*n - 3
an = 3*n + 2
d) How far will the patient walk during the 12th week?
a12 = 3*12 + 2
a12 = 38
that is to say, in that week I walk 38 km
Answer:
A= 1038 in²....
Step-by-step explanation:
There are several ways to find the area of a regular hexagon
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
We will apply the formula of area of regular polygon:
A= 1/2r²nsin(360/n)
r = radius
n = number of sides of the regular polygon
We know that,
r= 20 in
n= 6
Now substitute the values in the formula:
A= 1/2(20)²(6)sin(360/6)
A= (20)²(3)sin(360/6)
A= (20)²(3)sin(60)
A=3*(20)² *√3/2
A= 1200 * √3/2
A= 600*√3
A= 1038 in²....
Therefore the approximate area of hexagon is 1038 in²....
Answer:
The amount of his tax bill is <u>$2,500</u>.
Step-by-step explanation:
Given:
Jason is 2017 federal income tax is $3,500.
He entitled to a $1,000 tax credit.
Now, to find the tax bill.
Amount of income tax = $3,500.
Tax credit = $1,000.
Thus, by subtracting the tax credit from income tax amount we get the amount of Jason tax bill:


Therefore, the amount of his tax bill is $2,500.