Answer:
There is no exponential function passing through (1,1) and (5,5).
Step-by-step explanation:
We have the following exponential function

The function passes through these two points:
(1,1): This means that when t = 1, y = 1
(5,5): This means that when t = 5, y = 5.
So
(1,1)



(5,5)



From above, we have that:



1 cannot be equal to 1/5, so this is wrong.
This means that there is no exponential function passing through (1,1) and (5,5).
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
Answer:
0.875 = 7/8 and it is terminating
Step-by-step explanation:
Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78
The answer is $4.14.
Hope this helps!!