Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:

Where, a is the initial value, r is the growth rate and t is the number of years.
Putting
in the above model, we get




Therefore, the cost of living in 20 years is about $116745.10.
Answer:
x=7
Step-by-step explanation:
5x=35
x=7
Answer:
The reasons are given below.
Step-by-step explanation:
In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC
In ΔAXC and ΔBXC,
AX=BX (Given)
∠3 = ∠4 = 90° (both right angles)
CX=CX (Common i.e reflexive property of equality)
Hence by SAS similarity theorem ΔAXC ≅ ΔBXC
hence, the above are the reasons of the statements in given proof.
Answer:

Step-by-step explanation:
The current function of time is defined as follows:

where
is the charge function.
For the given charge function of time
we have the following current function:

In the problem it is proposed that
.
Examining the expression of
we obtained by deriving
with the expression proposed by the problem and comparing term by term:

We conclude that
and
.
Answer:
Because you first take 75% off of the first price then 25% off the discounted price
Example:
Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.