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notsponge [240]
3 years ago
12

Katie invested $1200 at 8.5% interest. She earned $612 interest at the end of y years. What is the value of y?

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

i believe the answer is 6

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The coordinate plane below represents a city. Points A through F are schools in the city.
Usimov [2.4K]
Part A. The technique on how to find the equation that only applies to point D and E, is to create a line or curve that only includes two of these points. In this case, I created a random parabola that isolates points C and F from the rest of the points. First, we have to find the equation of the parabola through its general forms:

(x - h)² = +/-4a(y-k)      or    (y - k)² = +/-4a(x - h)

For parabolas drawn like that in the picture, the general form is (x - h)² = +4a(y-k), where the vertex is (h,k) and a is the distance from the vertex to the focus. From the picture, the vertex is at (0,3). Then, we use point D(-2,4) to determine a:

(-2 - 0)² = +4a(4 - 3)
4a = 4

So, the equation of the parabola is:

x² = 4(y - 3)
x² = 4y - 12

Part B. Point D was already verified above. Now for point E(2,4)
x² = 4y - 12
2² ? 4(4) - 12
4 ? 4
4 = 4

Part C. For y < 7x − 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).

3 ? 7(4) − 4
3 ? 24
3 < 24

Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F. 

5 0
3 years ago
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?
PSYCHO15rus [73]

Answer:

You are more likely to win by playing regular defense.

Step-by-step explanation:

Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were win, 12 were lose. And out of 50 prevent defense game, 29 were win, 21 were lose.

Probability to win the game by playing regular defense is:

P(win | regular) = 38/50 = 0.76

Probability to win the game by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58), you are more likely to win by playing regular defense.

5 0
3 years ago
Read 2 more answers
I will give brainly Help! Itss a Math Question !!! image is attached below
3241004551 [841]

Answer:

ratio of GEOM to TEYR is \frac{6}{4}:1

Therefore OE is equal to:

8\cdot\frac{6}{4}

=12

12 units is the length of OE, so the final answer is:

12.0 Units.

5 0
2 years ago
Read 2 more answers
Simplify this expression.<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4%5E%7B9%7D%20%7D%7B4%5E%7B3%7D%20%7D" id="TexFormula1
gogolik [260]

9x9x9x9divide by 4x4x4

3 0
3 years ago
Read 2 more answers
PLEASE HELPP i know the answer is 12 but how?
zheka24 [161]
A^2+b^2=c^2

a^2+9^2=15^2

a^2+81=225
-81 -81

a^2= 144 (square root both sides)
a=12
4 0
2 years ago
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