Answer:
$11
Step-by-step explanation:
multiply $2 by four because they charge by hour and not by half hour. = 8
add $3 to 8. =11
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and
is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting
in (i), we get



The exponential function passes through the point (1,2). Substituting
in (i), we get




Here,
lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.
<h2><u>Answer (d</u>) :</h2>
These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :
Given :
In triangle 1 and 2 :
- A side in triangle 1 and a side in triangle 2 are equal.
- Another side in triangle 1 and triangle 2 is equal.
- The angle between the equivalent sides is also equal.
Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.
The total interest earned is 40.75 and the final balance is 65.75
<u>Solution:</u>
Given, principle amount P = 25
Interest rate
Times compounded per year n = 12
Time in years t = 30

On substituting the values we get
![A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75](https://tex.z-dn.net/?f=A%20%3D%2025%20%5B%201%2B%20%5Cfrac%7B0.0325%7D%7B12%7D%5D%5E%7B12%5Ctimes30%7D%3D%2025%20%5B2.63%5D%3D%2065.75)
Interest I = A - P [since, A = P+I]

Answer:
8.54400374532
Step-by-step explanation:
just do square root of 73 to get 8.54400374532