Answer:
Q1
<u>The exponential growth model for frogs:</u>
F- number of frogs, x- number of years, 1.22 - growth factor
<u>Calculations</u>:
- F(5) = 100(1.22)⁵ = 270
- a) F(10) = 100(1.22)¹⁰ = 730
- b) F(20) = 100(1.22)²⁰ = 5335
<em>All numbers rounded </em>
Q2
<u>The exponential growth model for bacteria:</u>
B- number of bacteria, x- number of hours, 1.8 - growth factor
<u>Calculations:</u>
- a) B(5) = 10(1.8)⁵ = 189
- b) B(24) = 10(1.8)²⁴ = 13382588
- c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³
<em>All numbers rounded </em>
Q3.
<u>The exponential growth model for fish:</u>
F- number of fish, x- number of months, 1.02 - growth factor
<u>Calculations:</u>
- a) F(12) = 821(1.02)¹² = 1041
- b) F(120) = 821(1.02)¹²⁰ = 8838
<em>All numbers rounded </em>
Answer: 192
Step-by-step explanation:
96 x 2 = 192
Keiva made 192 in necklace & bracelet sales in total.
Answer:
-7pi √3
Step-by-step explanation:
Treating pi as a variable, the simplified value can be written as;
-7pi √3
This can be obtained from using the following simple methodology;
pi(√3 -8 √3)
= pi (-7 √3)
COMPOUNDED
not simple interest,
compound interest is neat since you earn interest on the interest you earned
ok so what you use is F=Pe^(rt)
F=future or ending amount
P=present amount
e=base of the natural log (some digits are 2.71828182845)
r=rate in decimal
t=time in years
presen amount is 400
rate is 9% or 0.09
time is 3 years
F=400e^(0.09*3)
F=400e^(0.27)
F=523.986
round
F=523.99
Answer:
Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (4, 6) and (6, 10). Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>
Q4:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:
<em>use distributive property</em>
<em>add 6 to both sides</em>
