Answer:
N = 52 * (9/7)^(t/1.5)
Step-by-step explanation:
This problem can be modelated as an exponencial problem, using the formula:
N = Po * (1+r)^(t/1.5)
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)
Then, we have that:
N = 52 * (1 + 2/7)^(t/1.5)
N = 52 * (9/7)^(t/1.5)
It is already in simplest form
Hope this helps you!
Answer:
Step-by-step explanation:
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .
Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14
If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25
x = 36.25/12.5 = $2.9
The cost of regular gasoline is $2.9 per gallon
Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04
if he bought 12.5 gallons of premium gasoline instead, he would have paid
12.5× 3.04 = $38
The amount that he would have spent more will be
38 - 36.25 = $1.75
<span>a+b=5,
0.1*a+0.25*b=0.2*5
a=5-b
0.1*(5-b)+0.25*b=1
0.5-0.1b+0.25*b=1
0.15*b=0.5
b=3.33333333
a=5-b
a=1.66666667 b=3.33333333</span>
