Answer:
y = 4
Step-by-step explanation:
The form of the exponential function is y = a 
Use the given points to solve for a and b
Using (0, 4 ), then
4 = a
(
= 1 ), thus a = 4
y = 4 
Using (2, 196 ), then
196 = 4b² ( divide both sides by 4 )
49 = b² ( take the square root of both sides )
b =
= 7
y = 4
← exponential function
Answer:
ABD=180 and EHF=90
Step-by-step explanation:
If you look at the graph of y = floor(x), you'll see a stairstep pattern that climbs up as you read from left to right. There are no vertical components to the graph. There are only horizontal components.
The graph is not periodic because the y values do not repeat themselves after a certain x value is passed. For instance, start at x = 0 and go to x = 3. You'll see the y values dont repeat themselves as if a sine function would. If you wanted the function to be periodic, the steps would have to go downhill at some point; however, this does not happen.
Conclusion: The function floor(x) is <u>not</u> periodic.
Answer:
The value of the bond when Tyler's mom purchased it was $150
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem
r=4%=4/100=0.04
b=1+0.04=1.04
substitute

where
x is the number of years since the savings bond was purchased
f(x) is the value of the savings bond
For x=1
f(x)=$156
substitute

Solve for a


therefore
The value of the bond when Tyler's mom purchased it was $150