You use the formula Interest=principle (rate) time or i=prt. If you use that formula to solve, your answer will be 3,500. After five years, the balance will be $3,500.
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Answer:
The height of the rock formation is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
solve for h
Answer:
C
Step-by-step explanation:
Ohio's resources support manufacturing equipment.
C. 60%
The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%.
Step-by-step explanation:
In our case, we have to find the probability of a person getting their news by reading the paper. But we are given with a condition that the person must be 40 or older.
The survey is conducted among 80 people.
Number of people aged 40 or older = 40
No of people aged 40 or older and read paper = 24
Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.
Probability of a person aged 40 or older reads a paper =
(No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)
= 24/40
= 0.6
= 60%
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Answer:
y = 3sin2t/2 - 3cos2t/4t + C/t
Step-by-step explanation:
The differential equation y' + 1/t y = 3 cos(2t) is a first order differential equation in the form y'+p(t)y = q(t) with integrating factor I = e^∫p(t)dt
Comparing the standard form with the given differential equation.
p(t) = 1/t and q(t) = 3cos(2t)
I = e^∫1/tdt
I = e^ln(t)
I = t
The general solution for first a first order DE is expressed as;
y×I = ∫q(t)Idt + C where I is the integrating factor and C is the constant of integration.
yt = ∫t(3cos2t)dt
yt = 3∫t(cos2t)dt ...... 1
Integrating ∫t(cos2t)dt using integration by part.
Let u = t, dv = cos2tdt
du/dt = 1; du = dt
v = ∫(cos2t)dt
v = sin2t/2
∫t(cos2t)dt = t(sin2t/2) + ∫(sin2t)/2dt
= tsin2t/2 - cos2t/4 ..... 2
Substituting equation 2 into 1
yt = 3(tsin2t/2 - cos2t/4) + C
Divide through by t
y = 3sin2t/2 - 3cos2t/4t + C/t
Hence the general solution to the ODE is y = 3sin2t/2 - 3cos2t/4t + C/t
