The amount invested at 5% is $12,000 whereas the remaining $15,000 was invested at 4%
What is the amount of annual return for each investment?
The amount of annual return for each investment is determined as the amount invested multiplied by the rate of return
Let us assume that y was invested at 5% and the 27000-y, the remainder was invested at 4%
Total annual return=(y*5%)+(27000-y)*4%
Total annual return=0.05y+1080-0.04y
total annual return=0.01y+1080
total annual return=1220
1220=0.01y+1080
1200-1080=0.01y
120=0.01y
y=120/0.01
y=$12,000(invested at 5%)
amount invested at 4%=27000-12000
amount invested at 4%=$15,000
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Answer:
Runner A ran 3 miles everyday whilst his mate ran 3 1/2. How long till they both run the same distance?
Step-by-step explanation:
Answer:
x = 2.5y
Step-by-step explanation:
If a cow can give 5 gallons of milk after eating 2 pounds of grass.
Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.
Hence,
5y = 2x
We will simplify it to get what x equal to y by dividing 2 on both side we find,
x = 2.5y
x is equal to 2.5 y
By eating 1 pound of grass cow can give 2.5 gallons of milk.
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
