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alexandr1967 [171]
3 years ago
15

Travis has 3 months to save money for a trip. An airplane ticket costs more than $300. If he saves the same amount of money, a,

each month, how much does he need to save each month to pay for the ticket?
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

$100

Step-by-step explanation:

300 divided by 3= 100

He needs to save $100 each month.

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Jonathan deposited $20 in a savings account earning 5% interest, compounded annually.
Semenov [28]

Answer:

12$

Step-by-step explanation:

3 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
The sum of three consecutive integers is at least 86. what are the 3 integers?
pshichka [43]
They could be 28 + 29 + 30
3 0
4 years ago
Make up your own “which one doesn’t belong” example:
Stolb23 [73]
Caca pipipoopoo checkkkkkkkk
6 0
4 years ago
A property agent charges a commission of 2.5% on the selling price of a house. If the agent sells a house $650000, find the amou
nadya68 [22]

650000(0.025) = $16,250

8 0
3 years ago
Read 2 more answers
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