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Olin [163]
3 years ago
5

Ashley deposits $1000 into an account that earns 4% interest compounded 2 times per year. How much money will Ashley have in her

account after 5 years? Round to the nearest cent. A. $1520.30 B. $1892.19 C. $1218.99 D. $1253.00
Mathematics
2 answers:
vlabodo [156]3 years ago
5 0
That would be C. $1218.99  :)
zubka84 [21]3 years ago
3 0
A=1,000×(1+0.04÷2)^(2×5)
A=1,218.99
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You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
marissa [1.9K]

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

8 0
2 years ago
The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon
nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

H(t)=-16t^2+75t+25 ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s

Put t = 2.34 s in equation (1).

H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m

Hence, this is the required solution.

8 0
3 years ago
One end of a cable is attached to the top of a flagpole and the other end is attached
Nataly_w [17]

Answer:

Im confused is this a question

Step-by-step explanation:

4 0
3 years ago
A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

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

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

8 0
2 years ago
A tailor needs ¾ of a yard of material to make a shirt. How many shirts can the tailor make with 20 yards of material?
vladimir1956 [14]
Ok so x has to be our unknown variable so 3/4x=20 so we divide keep change flip or kfc as we call it 3/4 times 1/20  would be 3/80
4 0
3 years ago
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