Answer:
Principal = $4,500
Rate of interest=3%
Time = x years
We have to find number of years such that
Amount ≤$7020
Amount ≤ Principal + Simple interest
7020≤4500+ S.I
S.I≥7020-4500
S.I≥$2520
Formula for simple interest
S.I=, where P=Principal, R=Rate of interest, T=time
2520≥
x≤
So, the solution set is (0,]
Answer:
It cost $36 to the consumer just in materials to re-mulch the area
The dairy produce 8192 cups on average a day
Step-by-step explanation:
Dimensions of area that is needed to be mulch 30 feet by 60 feet.
1 foot = 0.333333 yards
Length = 30 feet = 9.99999 yards
Width = 60 feet = 19.99998 yards
Since we are given that They want a 3 inch layer of much on the area.
1 inch =0.0277778 yards
3 inch = 0.0833334 yards
So, the volume of mulch required for the given area :
= length * width* thickness
= 9.99999*19.99998 *0.0833334
= 16.6666466667 cubic yards
Now 2 cubic yards can be covered with 1 bag of mulch
So, 16.6666466667 cubic yards can be covered with bags of mulch :
=
= 8.33332333335
Thus 9 bags are required to re mulch .
Since cost of 1 bag is $4.00
So, cost of 9 bags = 9*4 =$36
Hence it cost $36 to the consumer just in materials to re-mulch the area
Now,
The dairy produces 512 gallons of milk on average a day.
Now 1 gallon = 16 cups
So, 512 gallons = 512*16 = 8192 cups .
Hence the dairy produce 8192 cups on average a day
Answer:
18. compound interest
19. simple interest
20. simple interest
Step-by-step explanation:
For these problems, the initial balance is irrelevant. All that matters is the multiplier of that balance. For simple interest at rate r for t years, the multiplier is ...
simple interest multiplier = (1 +rt)
For interest compounded annually, the multiplier of the initial balance is ...
compound interest multiplier = (1 +r)^t
A spreadsheet can do the computations for you.
___
As an example of the computations involved, consider problem 19:
simple interest multiplier = 1 + 0.13·6 = 1.78
compound interest multiplier = 1.10^6 = 1.771561
The latter is less than the former, so the simple interest account will have the (slightly) greater balance at the end of 6 years.
