Answer:
The answer is shown below
Step-by-step explanation:
Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a)
where k is the constant of proportionality, dy/dt = rate at which the rumor spreads
b)
At t = 2, y = 40% = 0.4
c) At y = 75% = 0.75
Angel is 8 years old and Alex is 30 years old x-y=30
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
<u>We're given:</u>
<u>1) Determine the diameter</u>
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
<u>2) Determine the circumference of the circle</u>
Plug in the diameter 10.8
Therefore, the circumference of the circle in terms of π is 10.8π cm.
<u />
<u>3) Determine the approximate circumference of the circle </u>
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation
where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
- Given that the interest is compounded 6 times each year, therefore, the value of n = 6.
now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation
∵
$
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Answer:
∠ 1 = 20 x + 5
∠ 2 = 24 x - 1
If lines l and m are parallel:
∠ 1 + ∠ 2 = 180°
20 x + 5 + 24 x - 1 = 180
44 x + 4 = 180
44 x = 180 - 4
44 x = 176
x = 176 : 44
x = 4°
Your welcome again :)
Step-by-step explanation: