To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle =
x base x height
From the problem,
base =
x height
let the base = b
height = h
b =
h
h = 3b
Input into the formula of area;
24 =
x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
Answer:

Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be
.
So
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is:
.
Combine these 2 equations together and you get:
.
Answer:
56$
Step-by-step explanation:
8*2=16
10*4=40
16+40=56
Answer:
D.) A cube that is 1 inch long, 1 inch wide, and 1 inch high
Step-by-step explanation:
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.
⭐ Answered by Kakashi ʕ •㉨• ʔ⭐
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