Answer:
The population would be 3358
Step-by-step explanation:
Since, exponential growth function if the growth is compound continuously,
Where,
P = initial population,
r = growth rate per period,
t = number of periods,
Given,
The population in 2000, P = 2,400,
Growth rate per year = 1.68% = 0.0168,
Number of years from 2000 to 2020, t = 20,
Thus, the population in 2020,
Answer:
<4= 164
Step-by-step explanation:
the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle
<1+<2=<4
8x+9+5x+12=14x+10
13x+21=14x+10
21=x+10
11=x
<4=14x+10
<4=14(11)+10
<4=154+10
<4= 164
Answer:
90
Step-by-step explanation:
The mode of the set is the number that occurs the most. In this case, 90 occurs more than any of the other terms. You can keep track using a tally chart:
80 |
82 |
90 ||
92 |
86 |
74 |
68 |
88 |
98 |
79.57 times 12% = 70.02
70.02 times 7.75% = 5.43
70.02 plus 5.43 = 75.43
Answers:
a) See the table below
b) The equation is
c) $40,024.02
d) See the graph below
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Explanations:
a)
Start with part (b) where I detail how to get the equation.
Once the equation is found, plug in x = 0 to get
Repeat for x = 1
Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.
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b)
The template for any exponential equation is
a = starting amount = 32000
b = growth factor
The annual interest rate is 4.5%
We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125
We go from to
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c)
Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)
The investment would be worth $40,024.02 after five years, aka twenty quarters.
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d)
See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.