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gogolik [260]
3 years ago
15

Tommy earned $76 in interest after 5 years on a principal of $400. Jane earned $82 in interest after 2 years on a principal of $

1,000. Which bank would you rather use? Why?
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0
Jane’s bank because the rate of Jane’s bank is 4.1%, which is faster than Tommy’s bank’s rate, which is 3.8%.
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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
3 years ago
A human heart beats an average of 80 beats per minute.How many beats is this in an hour?express your answer in scientific notati
nlexa [21]

Answer:

4,800

Step-by-step explanation:

Sorry I don't know how to explain it scientifically but I know how to do the calculations

1) Theres 60 minutes in an hour

2) 80x60= 4,800 beats

4 0
3 years ago
Since the subject of Shakespeare's poem is disloyalty and ingratitude – things that are not jolly – the lines "Then heigh-ho, th
sergejj [24]
This is a guess, but I think its A. I could be wrong though.
4 0
3 years ago
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×106 people in the
natka813 [3]
One person throws away 4.5 x 10² g/day.
In 2013, there were 3.2 x 10⁶ people, so they threw away
(4.5 x 10² g/day)*(3.2 x 10⁶) = 1.44 x 10⁹ g/day.

Assume that there were 365 days in 2013.
The total trash thrown away was
(1.44 x 10⁹ g/day)*(365 days) = 5.26 x 10¹¹ g

Answer:  5.3 x 10¹¹ g
4 0
3 years ago
Read 2 more answers
This is a drop down menu selection question (fill in the blanks.)
Ymorist [56]

Answer:

1-A-ENLARGEMENT

2-B-2 INCHES PER CENTIMETER

Step-by-step explanation:

Its enlargement because it is bigger than the original. And is 2 inches because for every centimeter there are 2 inches.

Hope this helps, rate thanks and brainliest.

5 0
2 years ago
Read 2 more answers
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