A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?

Answer:

7

Step-by-step explanation:

Answer

First one is A

Second one is B

Third one is D

Problem 1

Answer: Choice A

(30, 225); Rocket reaches max height of 225 ft after 30 seconds.

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Explanation:

Distribute the 0.25 through to get

y = 0.25(60x-x^2)

y = 15x - 0.25x^2

y = -0.25x^2 + 15x

This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.

The first two values mentioned lead to this x coordinate of the vertex.

h = -b/(2a)

h = -15/(2*(-0.25))

h = -15/(-0.5)

h = 30

This tells us the answer is between A and C.

If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.

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Problem 2

Answer:  Choice B

(x-3)^2 = -8(y-6)

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Explanation:

vertex = base of the bulb = (3,6)

focus = top of the bulb = (3,4)

This flashlight is pointed downward, which forms a downward opening parabola.

The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.

We'll plug that in along with the vertex (h,k) = (3,6) in the formula below

4p(y-k) = (x-h)^2

4*2(y-6) = (x-3)^2

8(y-6) = (x-3)^2

Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.

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Problem 3

Answer:  D) square

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Explanation:

We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.

We can also form a line. To do so, we intersect the plane at exactly  along the edge of the cone. Make the plane tangent to the cone.

Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.

Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.

There are 2 blue marbles out of 6 total marbles.

6-2 = 4 marbles are not blue.

Probability of not being blue = 4/6 which reduces to 2/3

Answer: 2/3

The inequality which represents the constraints of the range is D. p(m) ≥ -875

Since the PTA was doing fundraiser and bought 500 megaphones to sell for the pep rally, and the profit, p, from the sale of megaphones can be represented by p(m) = 3.5m - 875 where m = number of megaphones sold.

To find the inequalities represents the constraints of the range of p(m), we need to know the domain of m.

Since we have 500 megaphones and we can sell from 0 to 500 inclusive. So, the domain of m is 0 ≤ m ≤ 500.

To determine the range of p(m), we insert the values of m at its extreme points into p(m).

So, when m = 0

p(m) = 3.5m - 875

p(0) = 3.5(0) - 875

p(0) = 0 - 875

p(0) = -875

when m = 500

p(m) = 3.5m - 875

p(500) = 3.5(500) - 875

p(500) = 1750 - 875

p(500) = 875

Since for a profit, m ≥ 0. So, p(m) ≥ p(0) = -875

So, p(m) ≥ -875

So, the inequality which represents the constraints of the range is D. p(m) ≥ -875

Learn more about inequalities here:

https://brainly.com/question/17457213

67-32x= 54-34

Subtract 54-34

you would get 20

67-32x= 20 (subtract 67 from both sides of the equation )

-67            -67

-32x/-32=  -47/-32     (Divide -32  on the both sides )

You get a decimal :

x= 1.46875    

Round this answer:

x= 1.5

Answer:

x = 47/32 or 1.46875 ( 1.5 rounded)

Step-by-step explanation:

1) Simplify 54 - 34 to 20.

67 - 32x = 20.

2) Subtract 67 from both sides.

-32x = 20 - 67.

3) Simplify 20 - 67 to -47.

-32x = -47.

4) Divide both sides by -32.

x = -47/-32.

5)  Two negatives make a positive.

x = 47/32

Answer:

1

Step-by-step explanation:

(3,3) has a positive x value and a positive y value which means it is in the first quadrant

Answer:

angle 2 and angle 3 are corresponding angles.

Answer:

2 and 3 corresponding, angle 2 and angle 3

Answer:

Step-by-step explanation:

Total = t

Square feet = f

t = 5.6f + 150

you didnt say how many square feet the customer wanted, but just plug it in for f and t is the answer

Answer:

375.30

Step-by-step explanation:

it's 375.302 but simplified to 375.30

Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

Answer:

-270,810

Step-by-step explanation:

c.r.  r=-30/-10=3

[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]

Answer:

it correct because i took this before

This value is approximate.

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Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

Roughly 83.85% of the one-mile roadways have between 40 and 68 potholes.

=0.75 times 3000=2250

Answer:

Y=[tex]\frac{2}{3}[/tex]x+4

Step-by-step explanation:

Slope formula is y=mx+b

This is because the slope is 2 over 3: “rise over run”

Slope = m so: y=[tex]\frac{2}{3}[/tex]X+b

We need to find be, that easy because to find b, we have to look at the y axis. Were does the line intercept the y axis?

It is at (0,4) or just simply “4”

Now plug in b=4 into the equation:

y=[tex]\frac{2}{3}[/tex]X+4

Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.

Answer: 50 and 100

Step-by-step explanation:

( sorry if this is not what you meant ;-; )

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.

we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that?  3x - 2.

Check the picture below.

Answer:

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^

Answer:

rthrthrt

Step-by-step explanation:

Answer:

vertical angles are supplementary

Answer:

Step-by-step explanation:

Angles 1 and 4 are vertical angles.

According to definition of vertical angles, they are congruent.

Correct choice is C

Hey there!

The expression 26-(-17) can be rewritten as

26+17

Remember:

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who is preparing for the New Year's Day

Good luck. :-)

Answer:

k=6

?=24

Step-by-step explanation:

[tex] \frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy} [/tex]

[tex] \frac{36}{k + 3} = \frac{44}{k + 5} [/tex]

Now we just cross multiply

44(k+3)=36(k+5)

44k+132=36k+180

Take k-values to one side

44k-36k=180-132

8k=48

k=6

Now we can use k to find ?

[tex] \frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6} [/tex]

once simplified we get:

[tex] \frac{44}{11} = \frac{36}{9} = \frac{?}{6} [/tex]

[tex]4 = 4 = \frac{?}{6} [/tex]

in essence we know that:

[tex] \frac{4}{1} = \frac{?}{6} [/tex]

so we can cross multiply:

?=24

Hi!

He has 25% of the bottle left.

Knowing he drank 21 oz. out of a 28 ox. bottle, he has 7 oz. left.

We want to know the answer to: 7 is what percent of 28?

To do this, we simply take 7 and divide it by 28. 7/28 is 1/4, which can be represented by 0.25

0.25 as a percent is 25%.

Answer:

[tex]-2^{-2} = \frac{1}{-2^{2} } = \frac{1}{4} = 0.25[/tex]

[tex]-2^{-1} = \frac{1}{-2 } = -0.5[/tex]

[tex]-2^{0} = 1[/tex]

[tex]-2^{1} = -2[/tex]

[tex]-2^{2} = 4[/tex]

Step-by-step explanation:

Answer: 40

Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10

Answer:

x = 32 words

Step-by-step explanation:

Okay...let's get solving! :D Firstly, we

let the word list be x and convert the long paragraph into an equation that we can use.

one-fourth = 1/4

Memroized = 8 words

[tex]x * \frac{1}{4} = 8[/tex]

Thus, we solve the equation.

x = 32 words

Answer:

the answer should be 95

Step-by-step explanation:

hope this helps!❆

Answer:

value is 95

Step-by-step explanation:

if x = 6

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value of 3x2 - 13 is 95