Answer:
Step-by-step explanation:
Given
Required
Determine the equation for the model
Represent the number of hours with h and the miles with m.
Using distance formula:
In this case, it is:
So, we have:
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular
1 answer:
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It will take 54 days for Teri's account to earn an amount of $5000.
<h3>What is compound interest?</h3>Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.
It is given by formula
A =
where:
A is final amount
p is principal amount
r is rate of interest and
t, is time period
Given: A= $5000, p=$1500, r=2.25% = 0.0225
To find: time period to get compounded amount
5000=1500×
=
0.0225t = ㏑ ()
t = 53.5099 ≈ 54 days
Learn more about compound interest here:
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<h2>Answer:</h2>
(a) ft/s
(b) 1ft/s
<h2>Step-by-step explanation:</h2>Given equation;
y = (- 16x² + 50x + 3)ft -------------(i)
Where;
y is measured in feet(ft)
x is measured in seconds(s).
(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e
Δy / Δx
Where;
Δy = y₂ - y₁
Δx = x₂ - x₁
∴ Δy / Δx = --------------(ii)
Since y is measured in feet, Δy will also be measured in feet.
Also, since x is measured in seconds, Δx will also be measured in seconds.
Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)
(b) The rate of change of y between x = 0 and x = 2 can be found by using equation (ii)
Where;
y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)
y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)
=> y₂ = - 16(2)² + 50(2) + 3 = 39
=> y₁ = - 16(1)² + 50(1) + 3 = 37
Now, substitute the values of y₂, y₁, x₂ and x₁ into equation (ii)
Δy / Δx =
Δy / Δx =
Δy / Δx = 1
Therefore, the rate of change of y is 1 ft/s
Answer:
t = 0
Step-by-step explanation: