PLZ HELPPPP
Edgar is using compound annually , what will edgars total account balance be after leaving the money in for 5 years

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

[tex](x_1,y_1) = (0,8)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12-8}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 2(x - 0) + 8[/tex]

[tex]y = 2(x) + 8[/tex]

[tex]y = 2x + 8[/tex]

So, the cost function is:

[tex]C(x) =2x + 8[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 2*0+8 = 8[/tex]

So, we have:

[tex]C(0) = 8[/tex] --- Admission Charge

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

From the table, we have the following points

[tex](x_1,y_1) = (0,12)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15-12}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

[tex]m = 0.75[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.75(x - 0) + 12[/tex]

[tex]y = 0.75(x) + 12[/tex]

[tex]y = 0.75x + 12[/tex]

So, the cost function is:

[tex]C(x) = 0.75x + 12[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 0.75*0 + 12=12[/tex]

So, we have:

[tex]C(0) =12[/tex] --- Admission Charge

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

[tex]C(x) = 30[/tex]

In summary, we have:

Ride A

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

[tex]C(x) = 30[/tex] --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate  of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

Answer:

2 out of 10

Step-by-step explanation:

Simple math

Answer:

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

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

15 x 4 = 60

$60

Answer:

4 hours.

Step-by-step explanation:

We are looking for the amount of money Annie will need to earn 60.

Let the equation be 15+x=60.

The equation could be represented as 15+x=60, or 60-15=x.

The easier solution would be to subtract.

When we subtract 60-15 we get 45, therefore the value of x is 45 making the statements true.

15+45=60 and 60-15=45 as well.

We know she earns 15 an hour, so we have to see how many 15 we can add up to get to 60.

15+15+15+15=60, therefore she will need to work 4 hours.

Answer:

Hello! 59.2 is our answer

This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!

Answer:

x=7 y=-10 this is ur answer

Answer:

Yes, it lies on the circle.

Step-by-step explanation:

The actual question is:

"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."

The equation of a circle of radius R and centered at the point (a, b) is:

(x - a)^2 + (y - b)^2  = R^2

In this case we have a circle centered at the origin, then: (a, b) = (0, 0)

And the equation becomes:

(x - 0)^2 + (y  - 0)^2 = R^2

x^2 + y^2 = R^2

We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.

6^2 + 8^2 = R^2

100 = R^2

√100 = 10 = R

Then the circle equation is:

x^2 + y^2 = 10^2

Now let's see if the point (√51, 7) is a solution of the above equation:

(√51)^2 + ( 7)^2 = 10^2 = 100

51 + 49 = 100

100 = 100

This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.

Formula:2 pi R

R=5

5*2=10

3.14*10=34.1

The circumfrence is 34.1

34.1

Answer:

3/4

Step-by-step explanation:

Slope formula

Answer:

4/3

Step-by-step explanation:

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

Step-by-step explanation:

Since bx can be defined for all real numbers r, the domain of an exponential function is all real numbers. The range of bx is all real numbers greater than 0. ... If b > 1, then f is an increasing function. I.e. f(x) increases in value as x increases.

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

Answer:

12.5m³

Step-by-step explanation:

V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³

Have a good day

Answer:pretty sure B and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

Step-by-step explanation:

If the expression contains 3 terms none of which can combine with any other, the the expression is a Trinomial. An example of such a thing is f(x) = x^2 + 2x + 1.

The x cannot combine with the x^2 nor with the 1. The same can be said for the x^2 and the 1.

Answer:

Trinomial

Step-by-step explanation:

I got it Correct

Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We are given two intersecting circles with centers M and N.

And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.

Since MP and MQ are radii of the same circle:

[tex]MP\cong MQ[/tex]

Likewise, since NP and NQ are radii of the same circle:

[tex]NP\cong NQ[/tex]

And by the Reflexive Property:

[tex]PQ\cong PQ[/tex]

Therefore, by SSS Congruence:

[tex]\Delta MPN\cong \Delta MQN[/tex]

By CPCTC:

[tex]\displaystyle \angle PMN\cong \angle QMN[/tex]

And by the Reflexive Property:

[tex]MR\cong MR[/tex]

And since they are the radii of the same circle:

[tex]MP\cong MQ[/tex]

Therefore, by SAS Congruence:

[tex]\Delta MPR\cong \Delta MQR[/tex]

Therefore, by CPCTC:

[tex]PR\cong RQ[/tex]

Note that PQ is a chord in Circle M.

Therefore:

[tex]\text{Segment $MN$ bisects chord $PQ$}[/tex]

In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.

And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.

So:

[tex]\displaystyle PQ\perp MN[/tex]

Answer:

Step-by-step explanation:

First step is to prove triangle MPN ad MQN are congruent.

MP=MQ, radius of circle M

NP=NQ, radius of circle N

we have two S in SAS  and for A, we need to prove angle MPN = MQN

consider triangle QMP, it is isosceles so angle MPQ = MQP

consider triangle QNP; it is isosceles so angle  QPN = PQN

combining the two above

angle MPN = MPQ+QPN = MQP+PQN = MQN

By SAS, triangle MPN and MQN are congruent

By symmetry, MN is perpendicular to PQ

It also disects PQ so PR = RQ

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

------------------------------------------

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

Answer:

This is not really clear, I will assume that the values in the question are:

{0, 1, 0, 2, 3, 2, 3, 4}

For a set of N elements, {x₁, x₂, ..., xₙ}

The mean of the set is given by:

[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.

Then the mean of our set is:

[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

Answer:

C jvbivy yvibiv

Step-by-step explanation:

Ctcyvu

Answer:

x = 42

Step-by-step explanation:

i hope this helps :)

Answer:

240 ml

Step-by-step explanation:

more calculations

Answer:

each glass would contain 1/12 quart of milk

Step-by-step explanation:

1/4 divided by 3 is 1/12, so each glass would contain 1/12 quart of milk

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

The given parameters are:

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

Read more about right triangles at:

brainly.com/question/2437195