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)
Answer:
$98.33 was deposited in the account
Step-by-step explanation:
simple interest formula = (PRT)/100 ...where p is money, r is rate, t is time
using formula $17.70 = (P * 3% * 6)/100
P = 1770/18
P = $98.33
Well K is the sum of two integers so the product equals 2*11, as a Hero pointed out:
ac=2*11=22
k=sum of two integers so now it = to 22
I hope this helps :D
Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function , is the independent variable. The domain of is the set of all values of that this function can accept.
In this case, is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
- .
- .
The first condition is an inequality about , which is indeed the independent variable.
However, the second condition is about , the dependent variable of this function. It has to be rewritten as a condition about .
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.
Answer:
I'm assuming you mean a compression of factor 6
In that case, it will be h = 1/6x