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2 years ago

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Mathematics

1 answer:

nika2105 [10]2 years ago

3 0

Answer:

Rachel will earn $1,800 in Interest to make a total of $2,800. She'll not have enough money

Step-by-step explanation:

I=Prt

=1000*0.05*36

=$1,800

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A car travels 106 miles on 4 gallons of gas. How far can it go on a full tank of 12 gallons?

tino4ka555 [31]

106*3=318

106/4=x/12

the answer is 318

7 0

3 years ago

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Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$

Thus the solution becomes

$\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+c$ $y=x^{3}+cx^{2$

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have $6=8+4c$

Thus solving for c we get c = -1/2

Thus particular solution becomes

$y=x^{3}-\frac{1}{2}x^{2}$

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3 years ago

Find the area of the parallelogram.

Zolol [24]

Answer:

14.4 km²

Step-by-step explanation:

A=b

h=4.8·3

≈14.4

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2 years ago

How do you solve 42+2x=5.50x

tangare [24]

U can’t that’s ur answer bc u can’t add if there’s an x

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2 years ago

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If 7 people each eat 3/8 pound of potato salad, how much potato salad will be eaten in all?

Nikitich [7]

1 people eat 3/8 pound of potato salad lets reoresent it：
x=3/8
Lets say n is the value of how many people ate with 7 people
7x=n
now substitute
7x=n
7(3/8)=n
21/8=n
n=2 5/8

7 0

3 years ago