Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get


Putting
in (ii), we get



Putting
in (i), we get

The required exponential function for the given table of values is
. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:

Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:


Thus, the amount in the account at the end of three years will be $59,861.
Answer: The price for the adult tickets is $12 and the price for the child ticket is $5.
Step-by-step explanation:
Let the price for the adult ticket be x
Let the price for the child ticket be y
According to question, On Friday ,

and on next day,

Now, we will use "Substitution Method" to solve the system of equations :

so, we will put the value of x in the first equation i.e.

Now, put the value of y in the equation that is given by

Hence, the price for the adult tickets is $12 and the price for the child ticket is $5.
V= 18
hope this helped!!!