First you have to use the formula which is r to the second times height times pi
You would do 4 times 2 equals 8 then multiply 8 times 10 equals 80 then multiply that answer times 3.14 then your answer is 251.2
Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds
Given the Parameters :
- Lucy's distance = 2t
- Emily's distance = 5t
<u>We can set up an equation to represent the required scenario thus</u> :
Emily's distance = Lucy's distance + 90
5t = 2t + 90
We solve for t
<em>Collect like terms</em> :
5t - 2t = 90
3t = 90
Divide both sides by 3 to isolate t
t = 90/3
t = 30
Therefore, Emily will catch up with Lucy after 30 seconds
Learn more :brainly.com/question/13218948
Answer:
<h3>$4,789.99</h3>
Step-by-step explanation:
Using the formula for calculating the compound interest
A = P(1+r)^t
P is the principal = $3500
r is the rate = 4% = 0.04
T is the time = 8 years
Substitute
A = 3500(1+0.04)^8
A = 3500(1.04)^8
A = 3500(1.3686)
A = 4,789.99
Hence the resulting balance is $4,789.99
Answer:
y = ⅕x; -5
Step-by-step explanation:
y = kx
k = y/x Divided both sides by x
k = 2/10
k = ⅕
y = ⅕x
The equation of variation is y = ⅕x.
If x = -25,
y = ⅕(-25) = -5