Emily plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $750 in graduation money that she puts into an account that earned $127.50 in interest. What was the interest rate that the bank provided

Center = (5,7)

Radius = 5

======================================================

Explanation:

The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.

But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.

So the center (h,k) must be on the line x = 5.

The center is the point (h,k) = (5,k)

Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below

Solve for k.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5

(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt(0)

7-k = 0

-k = 0-7

-k = -7

k = 7

The center is (h,k) = (5,7)

We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25

The equation of the circle is   (x-5)^2 + (y-7)^2 is25 .  The center of the circle is Center is (5,7) .Radius of the circle  is  5

Circle's basic equation is represented by:

(x-h)2 + (y-k)2 = r2

where the radius is r and the circle's center's coordinates are (h,k).

Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.

The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.

The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.

Therefore, the line x = 5 must contain the center (h,k).

The point (h,k) = is the center (5,k)

Given ,

In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.

Calculate k using the formula.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.

(10-5)^2 + (7-k)^2 = 25  Input x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt (0)

7-k = 0

-k = 0-7

-k = -7

k = 7

(h,k) = is the center (5,7)

Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.

Therefore The equation of the circle is   (x-5)^2 + (y-7)^2 is25

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Answer:

I'm pretty sure it is 16 coins.

Step-by-step explanation:

What I did was to divide 24 levels by 9 levels and I got, specifically, 2.66666666667. Then I multiplyed it by 6 and got 16. Hope it helps.

Answer:

The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Step-by-step explanation:

Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.

Given that the total distance = d

The speed for the first 150 miles = 60 miles/hour.

So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]

[tex]\Rightarrow t_1=2.5[/tex] hours.

The remaining distance [tex]= d-150[/tex] miles.

Speed for the remaining distance = 60 miles/hour.

As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,

So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours

So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]

[tex]\Rightarrow d-150=20\times 5=100[/tex]

[tex]\Rightarrow d = 100+150=350[/tex] miles.

The average speed of the journey = (Total distance)/(Total time taken )

[tex]=d/(t_1+t_2)[/tex]

=350/(2.5+5)

=350/7.5

=46.67 miles/hour.

Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Answer: 20

Step-by-step explanation: We have to put the given x and y values into the equation, so 2(7) + 2(3)  is the same thing as 14+6, so the answer would be 20.

Answer:

20

Step-by-step explanation:

2x+2y

2(7)+2(3)

14+6

20

Answer:

9 kg in each patch

Step-by-step explanation:

because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9

Answer:

-5

Step-by-step explanation:

Parallel lines have the same slope, so it would just be -5

Answer:

∠COS = 30°

Step-by-step explanation:

∠BPO = 120° + x

∠COS = x

Alternate Interior/Exterior is congruent if two parallel lines are intersected by a transverse.

∠BPO = ∠COP

∠COP = 120° + x

∠COP + ∠COS = 180°

120° + x + x = 180°

120° + 2x = 180°

2x = 60°

x = 30°

Answer:

5 + 2 = 7.

Step-by-step explanation:

If you mean the other way around then no.

2 + 7 doesn't equal 5.

Answer:

Yes i agree- 5+2=7 if you mean it that way

Step-by-step explanation:

Answer:

C does not represent a function

Step-by-step explanation:

you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function

Answer:

10-x=d

(d = diferencia de 10 y x)

Answer:

c

Step-by-step explanation:

You have to use pemdas and you should get c

Answer: x>55/9

Step-by-step explanation: Divide both sides by  9  

     x-(55/9)  > 0

Add  55/9  to both sides

            x > 55/9

Inequality plot for

        9.000 x  - 55.000  >  0

Answer:

11 minutes and 15 seconds (11.25 minutes/ 11 and 1/4)

Step-by-step explanation:

create the corresponding ratio by dividing 200 by 15, 200 calories per 15 minutes. Which equates to 40 calories every three minutes which means 40/3 or 13 1/3 calories every minute. You can verify this by multiplying 15 and 40/3 to get 200 again.

The last step is to divide the calories burned by the corresponding ratio (40/3)

150/(40/3) = 11.25

and .25 or 1/4 of 60 seconds(in a minute) is 15 since 60/4 = 15.

Answer: I think it’s 3868000000

Step-by-step explanation:

You move the decimal 9 places to the right

The percentage is 52% and the fraction is 13/25

Answer:

6 / 8

Step-by-step explanation:

Just multiply by 2

Answer:

3/4=6/8=9/12=12/16 and so on

Step-by-step explanation:

Just use the multiples of 3/4

Pls mark me brainliest!!!

Answer:

34

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle

Brainliest?

Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.

Given,

The line has been partitioned into three angles.

Is there a triangle with these three angle measures?

The degrees are 39,42,99.

The sum of the angles in a triangle is 180 degrees.

The sum of all the angles in a straight angle is 180 degrees.

We have,

39°, 42°, and 99°.

The sum of the angles is:

= 39 + 42 + 99

= 180 °

The sum of the angles in a triangle is 180 degrees.

Thus,

Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.

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Step-by-step explanation:

what help do you need????

Answer:

i believe the answer is 569/115

Answer:

Answer C

Step-by-step explanation:

This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.

The other statements that provide contradiction to the given expression are option (B) and (C).

An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.

In the option (A),

the three angles could be 30°, 30°, and 30°.

These angles contradict the basic property of triangle.

Which is sum of all the triangles are 180°.

In the option (B),

the three angles could be 30°, 60°, and 90°.

The above angles hold the property of an acute triangle.

In the option (C),

The three angles could be 30°, 70°, and 80°.

The above angles also hold the property of an acute triangle.

In the option (D),

The three angles could be 30°, 30°, and 120°.

Angle 120° greater than 90°.

This statement contradicts the basic property of an acute triangle.

Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).

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Answer:

Step-by-step explanation:

We know that ohms law is given by the expression

V=IR

In the problem, we are given that

voltage v= 17.5volts

currents I=125 amps

Substituting our data into the expression we have

17.5=125*R

R=17.5/125

R=0.14 ohms

Hence the current is 0.14 ohms

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

Answer:

[tex]x = 0[/tex] and [tex]x = -2[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} = \frac{{x}^2}{x-2}[/tex]

Use cross multiplying to solve the equation.

[tex]x(x-2) = 2({x}^2)[/tex]

[tex]{x}^2 - 2x = 2{x}^2[/tex]

[tex]2{x}^2-{x}^2+2x = 0[/tex]

[tex]{x}^2 + 2x = 0[/tex]

Now factor it.

[tex]x(x+2) = 0[/tex]

Now split into two equations:

Equation A:

[tex]x = 0[/tex]

Equation B:

[tex]x + 2 = 0[/tex]

[tex]x = 0 -2[/tex]

[tex]x = -2[/tex]

Therefore, the solutions are x = 0 and x = -2.

Hope this helped! If not, please let me know! <3

Answer:

C. f(x)=3x-4

Step-by-step explanation:

slope formula is (y2-y1)/(x2-x1)

(-1+4)/(-1-0)

3/1=3

The slope is going up and to the right so it is positive

Answer:

Answer is -24/25.

Step-by-step explanation:

Got it right on egde2020

The value of cos (t) is - (24/25), as per  the relation between the sine and cosine of an angle.

For any angle 'Ф',  the relation between the sine and cosine of an angle is:

sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)

Given equation,

sin (t) = (7/25), for (π/2) < t < π

Here, 't' is in the second quadrant.

Therefore, sine is positive here.

However, cosine is negative there.

Therefore, the value of cos (t) is

= - √[1 - sin² (t)]

= - √[1 - (7/25)²]

= - √[1 - (49/625)]

= - √(576/625)

= - (24/25)

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