I hope this helps you
-x+4=2x+1
4-1=2x+x
3=3x
x=1
y=-1+4
y=3
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Lets focus on what we know first. Natalie can pick 135 Berries in 15 minutes. Lets find out how many berries she can pick per minute.
In order to do so, We have to divide 135 by 15.
135/15=9
This means that Natalie can pick 9 berries per minute. Given that we want her to pick 486, we will need to divide that number by 9 berries to find out how many minutes it will take to get her to that number of berries.
486/9=54
This means that it will take Natalie 54 minutes in order to pick 486 berries.
17 cm a minute would be 0.01 miles per hour.
