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Schach [20]
3 years ago
10

Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. Then, they each spend $3 on food. At the en

d of the day, Donavon and his friends have a total of $8 remaining. How much money did each person bring to the fair?

Mathematics
1 answer:
Ghella [55]3 years ago
6 0
X=22$ hopefully this helpssss

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If a varies jointly as b and c,
Alborosie

Given:

a varies jointly as b and c.

a=6 when b=2 and a=3.

To find:

The variation constant and the equation of variation.

Solution:

a varies jointly as b and c.

a\propto bc

a=kbc              ...(i)

Where, k is the constant of proportionality.

a=6 when b=2 and a=3.

6=k(2)(3)

6=6k

\dfrac{6}{6}=k

1=k

The value of k is 1.

Putting k=1 in (i), we get

w=1xy

w=xy

Therefore, the variation constant is 1 and the equation of variation is w=xy.

4 0
3 years ago
Determined if the graph represents a polynomial function if it does determine the number of turning points and the least degree
skelet666 [1.2K]
  • <em>The graph of f is a polynomial function</em>
  • <em>There are two turning points, namely, x = 0  and x = -2</em>

<h2>Explanation:</h2>

A polynomial function in one variable is given by the form:

f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}

Since you haven't provided any expression, I'll choose the following function:

f(x)=x^{3}+3x^{2}+3

So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:

f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\  and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}

Conclusion:

  • <em>The graph of f is a polynomial function</em>
  • <em>There are two turning points, namely, x = 0  and x = -2</em>

<em />

<h2>Learn more:</h2>

Polynomial function: brainly.com/question/13729121

#LearnWithBrainly

7 0
3 years ago
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea
Vsevolod [243]

~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}

A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill

4 0
2 years ago
Hey guys <br><br>what is 10+12-34+68-4778855+5676+77-6865666+3456-7658×45×23+35566÷79997 = ?​
elena55 [62]

Answer:

-19561285.5554

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which skier will have a greater potential energy? Skier one is higher then skier two.
masha68 [24]
Skier one will have more potential energy
7 0
3 years ago
Read 2 more answers
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