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2 years ago

You buy a new car for $25,000 and it depreciates at a rate of 6.5% per year. How much would it be

Mathematics

1 answer:

pantera1 [17]2 years ago

7 0

Answer:

$17864.80

Step-by-step explanation:

25000*(1-0.065)^5

25000*0.935^5

25000*0.71459184283

17864.79607

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The results of joes survey show that baseball is the favorite sport for 18 out of 25 people. What percent do not like sports?

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well if 18 out of 25 like it, then the remaining 7 doesn't like it, namely 7 out of 25.

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$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 25&100\\ 7&x \end{array}\implies \cfrac{25}{7}=\cfrac{100}{x}\implies 25x=700\implies x=\cfrac{700}{25}\implies x=28$

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3 years ago

The ratio of adults to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?

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Step-by-step explanation:

Adult : Child = 2 : 7

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2 years ago

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

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3 years ago