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Nadya [2.5K]
3 years ago
10

Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings

account?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
5% is the answer!! :)
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Taylor’s gymnastics team is selling 5 raffle tickets for $8.00 What is the constant of proportionality of dollars per ticket? (o
choli [55]
It is $1.60 per ticket because you would have to divide 5 by 8 which would give you 1.6
5 0
3 years ago
A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
OlgaM077 [116]

Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

  • using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

  • using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

  • P = 0.40x + 0.50y

That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0
3 years ago
Read 2 more answers
Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
AD ??????? so confused what the
Andre45 [30]

Answer:

3.6 cm

Step-by-step explanation:

<u>Triangle Proportionality Theorem</u>

BD : DE = BA : AC

⇒ 6 : 10 = BA : 16

⇒ \mathsf{\dfrac{6}{10} = \dfrac{BA}{16}}

⇒ \mathsf{BA=\dfrac{6}{10} \times16}

⇒ BA = 9.6

AD = BA - BD

⇒ AD = 9.6 - 6 = 3.6 cm

4 0
2 years ago
What is 2.95 expressed as a fraction?<br> 0<br> 0<br> 0<br> 0
lara [203]
The answers is 59/20 because when you calculate it it say 2.95
7 0
3 years ago
Read 2 more answers
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