The option c is the answer because
2p=p (1.07)^x
2=1.07^x
Solve for x
X=log(2)÷log(1.07)
x=10 years the amount will be doubled after 10 years
But your option says the investment will (more) than double with (12) years
So it's correct
Answer:
No solutions
Step-by-step explanation:
i did this via substitution so i hope it isn't a problem
3x+y=4
6x+2y=−4
Step: Solve 3x+y=4for y:
3x+y+−3x=4+−3x(Add -3x to both sides)
y=−3x+4
Step: Substitute−3x+4foryin6x+2y=−4:
6x+2y=−4
6x+2(−3x+4)=−4
8=−4(Simplify both sides of the equation)
8+−8=−4+−8(Add -8 to both sides)
0=−12
so there are no solutions
hope this helps!!
Let x = amount of 70% juice we use.
Then 60-x = amount of 85% juice we'll use.
We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.
So 70% of x plus 85% of (60-x) must equal 80% of 60, or...
0.7x + 0.85(60-x) = 0.8(60)
0.7x + 51 - 0.85x = 48
-0.15x + 51 = 48
-0.15x = -3
x = 20
Then 60 - x = 60 - 20 = 40
Check: 70% of 20 pints = 14 pints of pure juice.
85% of 40 pints = 34 pints of pure juice
That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.
You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.
Answer:
3/5
Step-by-step explanation:y
put in slop intersect form y=3/5x + 2/5 = 3/5
Average rate of change=slope
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment
