Answer:
13 cents, 17 cents, Brand A
Step-by-step explanation:
The unit price is the price of a single pencil. You can find that by dividing the total price by the number of pencils.
Brand A= $2.36/18= $0.13
Band B= $4.09/24= $0.17
0.13 < 0.17
Brand A is cheaper because the price per pencil is less.
Answer:
![x\leq 9](https://tex.z-dn.net/?f=x%5Cleq%209)
Step-by-step explanation:
So we have the inequality:
![5x\leq 45](https://tex.z-dn.net/?f=5x%5Cleq%2045)
Divide both sides by 5:
![x\leq 9](https://tex.z-dn.net/?f=x%5Cleq%209)
And, we're done!
This means that the solution of the inequality is all values less than or equal to 9.
I hope this helps!
I think the answer for your question is B
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A =
r²
Plug in 10 as the radius, and solve
A =
r²
A =
(10²)
A = 100![\pi](https://tex.z-dn.net/?f=%5Cpi)
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
= ![\frac{x}{360}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B360%7D)
Cross multiply and solve for x:
100
x = 14400![\pi](https://tex.z-dn.net/?f=%5Cpi)
x = 144
So, the degree measure of the sector arc is 144°
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer