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Elina [12.6K]
3 years ago
8

A family plans to take a trip in 2 years that will cost about 6,000 how much money should the family save each month to pay for

the trip
Mathematics
1 answer:
il63 [147K]3 years ago
4 0
2 years=24 months

6000$/24 months=250$ saved per month
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the length of a rectangle is 4cm longer than the width. the perimeter is 80cm. find the length and the width.
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Bob's monthly net income is $3,000. Bob pays $950 for rent, $250 for all
inysia [295]

Answer:

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3 years ago
Consider the initial value problem 2ty′=4y, y(2)=−8. 2ty′=4y, y(2)=−8. find the value of the constant cc and the exponent rr so
Softa [21]
2ty'=4y
Replacing y'=dy/dt in the equation:
2t(dy/dt)=4y
Grouping terms:
dy/y=4dt/(2t)
dy/y=2dt/t
Integrating both sides:
ln(y)=2ln(t)+ln(c), where c is a constant
Using property logarithm:  b ln(a) = ln(a^b), with b=2 and a=t
ln(y)=ln(t^2)+ln(c)
Using property of logarithm: ln(a)+ln(b) = ln(ab), with a=t^2 and b=c
ln(y)=ln(ct^2)
Then:
y=ct^2
Using the initial condition: y(2)=-8
t=2→y=-8→c(2)^2=-8→c(4)=-8
Solving for c:
c=-8/4
c=-2

Then the solution is y=-2t^2
Comparing with the solution: y=ct^r
c=-2, r=2

Answer: T<span>he value of the constant c is -2 (c=-2) and the exponent r is 2 (r=2)</span>
 
5 0
3 years ago
Read 2 more answers
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