Answer: a = 3.5
Step-by-step explanation:
14=4a
divide both sides by 4
14/4 = 3.5
4a/4 =1a or a
so a= 3.5
Y = a(b^x)
y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.
y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant
1) 38cm
2) 2304cm^2
3) 64cm^2
To find the area you multiply the sides
To find the perimeter you add the sides
An exponential model can be described by the function

where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model

n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>
The profit earned by the gift shop owner on fifty vases will be $ 91.07.
<h3>What is profit?</h3>
The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.
The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.
The total cost price of vases:-
50 vases = $210
1 Vase = 210 / 50 = 4.25
So 10 vases will be purchased at the price of:-
10 Vase = 4.25 x 10 = 42.5
Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.
7 Vase = 42.5
1 Vase = 42.5 / 7 = 6.07
So he sold one vase for $6.07 and purchased it at $4.25.
The profit will be = 6.07 - 4.25 = 1.821
So profit for selling 50 vases will be:-
Profit = 50 x 1.821 = $91.07
Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.
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