Answer:
55years
Explanation:
According to the given expression
FV = P +Prt
P is the initial deposit = $1000
FV is the future value = 4(1000) = $4000
r is the rate = 5.5% = 0.055
Required
Time t
Substitute the given values into the expression as shown;
FV = P +Prt
4000 = 1000 + 1000(0.055)t
4000 - 1000 = 55t
3000 = 55t
Swap
55t = 3000
t = 3000/55
t = 54.5years
t = 55years
This means it will take the deposit of $1000 55years to quadruple
Common factors of 50: 1, 2, 5, 10, 25, 50
Common factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Common factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
You're welcome.
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
width=2
length= 4
explanation in the attached picture
