Isolate the z. Note the equal sign. Subtract 1/7z to both sides
1/7z (-1/7z) + 2 = -6/7z (-1/7z)
2 = -6/7z - 1/7z
Simplify. Combine like terms
2 = -7/7z
2 = -1z
Isolate the z. Divide -1 from both sides
(2)/-1 = (-1z)/-1
z = 2/-1
z = -2
-2 is your answer
hope this helps
Answer:
A.
Step-by-step explanation:
We use the simple interest equation of A=P(1+rt).
A-the total amount with interest earned
P-the initial amount or principal
r-rate
t-time in years
We substitute the values P=300, A=381, and t=9. We then solve for r.
We divide both sides by 300.
Simplify.
We subtract 1 from both sides.
Simplify.
We divide by 9.
r=0.03
We need to convert the decimal to a percentage by multiplying by 100.
The interest rate is 3%.
Answer: she will make $232.05 in 4 weeks.
Step-by-step explanation:
Since her profit is increasing by 10% each week, then the rate at which it is increasing is in geometric progression. The common ratio, r would be 110/100 = 1.1
We would apply the formula for determining the sum of n terms of a geometric progression which is expressed as
Sn = a(r^n - 1)/(r - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms(number of weeks)
From the information given,
a = 50
r = 1.1
n = 4 weeks
Therefore,
S4 = 50(1.1^4 - 1)/(1.1 - 1)
S4 = 50(1.1^4 - 1)/0.1
S4 = $232.05
Answer:
14
Step-by-step explanation:
Let the number be x,
3x-6=2x+8
3x-2x=8+6
x=14
