-5
-4
-2
-1
Answer:
D -1
Step-by-step explanation:
3(x+1) = 2(x-1)
Use distributive property and get;
3x+3 = 2x-2
Add 2 to both sides,
3x+5 = 2x+4
Subtract 2x from both sides
1x+5 = 4
Subtract 5 from both sides
1x=-1
x = -1
What is the exact volume of the cone?
A.
150π in3
B.
300π in3
C.
450π in3
D.
540π in3
b. How many ski trips do you take if you spend a total of $315? $485?
Answer:
a. x = (C — 60) / 85
bi. 3
bii. 5
Step-by-step explanation:
a. C = 85x + 60
C — 60 = 85x
x = (C — 60) / 85
bi. When C = $315,
x = (C — 60) / 85
x = (315 — 60) / 85
x = 225/ 85
x = 3
bii. When C = $485
x = (C — 60) / 85
x = (485 — 60) / 85
x = 425/ 85
x = 5
The balance in Yolanda's saving plan after 14 years was $
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA =
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA =
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years
A pet shop has 96 pounds of dog food. It packages the food in 48-ounce bags.
Quantity of dog food pet shop has = 96 pounds.
Quantity of dog food in one bag = 48 ounces.
So in order to find number of bags we have to first convert them into similar units.
Let us convert pounds into ounces.
The conversion rate is:
1 pound = 16 ounces
Now we apply unitary method to convert 96 pounds into ounces.
1 pound =16 ounces
96 pounds = 96*16 = 1536 ounces.
So if one bag contains 48 ounces ,
then number of bags = 1536/48 = 32
Answer : Number of 48 ounce bags required to fill 96 pounds of dog food is 32.