10. The cost C to take x students on a field trip is represented by the function C(x) = 20x + 49.
If the total cost was $889, how many students went on the field trip? Show your work.

4.)

A.)

P = 140

i = 0.05

B.)

140(1.05)^t

C.)

0 = 140

10 = 228.05

5.)

A.) The y-intercept is how much the cell phone cost to purchase.

B.) V means value, t meaning years was replaced by 4, and 31.25 is how much it's worth at that time.

C.) The graph is decreasing, and the value goes down with time.

Answer:

y = 65 + 20x

Step-by-step explanation:

Okay, when you're talking about linear equations try to find the fixed value, and then the changing one.

The fixed value will be by itself

The value that varies will have a variable next to it (x, y, z, whatever)

Then, the answer has to be

y = 65 + 20x

Answer:

Basic subtraction:

needed students: minimum required students - students signed up

needed students: 26 - 19

needed students: 7 students, the club needs.

Solution:

We know that the inequality form is x ≥ 26. If we subtract the number of students required by the number of students joined, we will obtain the required students to start the club.

Hence, the club needs 7 more students to have a club.

The value of k from the equation is k = 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( 2 - k ) / ( 5x + k )   be equation ( 1 )

Now , the equation passes through the point P ( 3 , -2/19 )

On simplifying the equation , we get

Substituting the values of x and y in the equation , we get

y = ( 2 - k ) / ( 5 ( 3 ) + k ) )

-2/19 = ( 2 - k ) / ( 15 + k )

Multiply by ( 15 + k ) on both sides of the equation , we get

-2 ( 15 + k ) / 19 = 2 - k

Multiply by 19 on both sides of the equation , we get

-30 - 2k = 38 - 19k

Adding 2k on both sides of the equation , we get

38 - 17k = -30

Subtracting 38 on both sides of the equation , we get

17k = 68

Divide by 17 on both sides of the equation , we get

k = 4

Hence , the value of k = 4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Learn more about monthly installment at https://brainly.com/question/3260195

#SPJ1

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

Answer: Drop down 1: 13

Drop down 2: a_n-1_-9

Step-by-step explanation:

Answer:

$282.98

Step-by-step explanation:

For computing the principal amount we need to apply the present value function i.e to be shown in the attachment below:

Data provided that in question

Future value = $25,000

Rate of interest = 9%

NPER = 13 years × 4 quarters =  52 quarters

PMT = $0

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the present value is $282.98

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

Learn more about exponential function:https://brainly.com/question/14355665

#SPJ1

Answer:

p=7

Step-by-step explanation:

5p-1=2p+20 first add 1 to both sides to get 5p=2p+21, then subtract 2p from both sides to get 3p=21, then divide by three to get p=7

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

Learn more about cylinder from the given link

https://brainly.com/question/27440983

#SPJ1

To solve the equation 3/4 (x + 9) = 15, we can follow these steps:

Simplify the expression on the left-hand side by distributing the 3/4:

3/4 (x + 9) = 15

3/4x + 27/4 = 15

Subtract 27/4 from both sides to isolate the variable term:

3/4x + 27/4 - 27/4 = 15 - 27/4

3/4x = 33/4

Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:

(4/3) * 3/4x = (4/3) * 33/4

x = 11

Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

For such more question on lengths

https://brainly.com/question/28322552

#SPJ8

The number of doves for 5 eagles is 15 doves.

Given:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

3 doves = 1 eagle

We can start by converting the units to find the value of 1 eagle in terms of sparrows:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

On simplifying the equation , we get

Therefore, we can substitute these values to find the conversion from sparrows to doves:

2 sparrows = 1 parrot = (2 parrots) * (3 crows) = (2 * 3 crows) = 6 crows

1 dove = 3 crows

So, in terms of sparrows:

1 dove = 6 crows = 12 sparrows

On simplifying the equation , we get

3 doves = 1 eagle

Substituting the value we found for 1 dove:

3 doves = 12 sparrows = 1 eagle

Now, we can find the value of 5 eagles:

5 eagles = 5 * (1 eagle) = 5 * (3 doves) = 15 doves

Hence , the number of doves is 15.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

Read more on y-intercept here: brainly.com/question/19576596

#SPJ1

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

To know more about Volume .

https://brainly.com/question/27535498

#SPJ11

Answer:

Negative times a negative equals a positive

25x + 30x

55x

Answer: 500.7

500.75 = 500.7

Step-by-step explanation:

The estimated value is 500

Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').

Given that, 9965 divided by 19.9 estimate

Let 9965 ≈ 9970

19.9 ≈ 20

9970 ÷ 20

9970 / 20

= 498.5

≈ 500

Hence, the estimated value is 500.

Learn more about estimation, click;

https://brainly.com/question/17961193

#SPJ5

The correct answer is A. TEDE, which stands for Total Effective Dose Equivalent.

This is a measure of the effective dose equivalent to an individual resulting from an intake of radioactive material. It takes into account the type of material ingested and the radiation dose received.

It takes into account the type of material ingested and the radiation dose received. TEDE is generally used in radiation protection to estimate the probabilistic health effect on an individual as a result of an intake of radioactive material.

Learn more about TEDE:

https://brainly.com/question/30261101

#SPJ4

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

learn more on kite here: https://brainly.com/question/27975644

#SPJ9

The measure of arc LQ (m∠LQ) is equal to 34 degrees.

In Mathematics and Geometry, a chord of circle can be defined as a line segment that typically join any two (2) points of a circle.

Generally speaking, the inscribed angle of a circle is equal to half of the central angle of a circle. Mathematically, this is represented by the following mathematical expression:

m∠U = 1/2(m∠WC - m∠LQ)

37 = 1/2(108 - m∠LQ)

74 = 108 - m∠LQ

m∠LQ = 108 - 74

m∠LQ = 34 degrees.

Read more on intersecting chords here: https://brainly.com/question/27251228

#SPJ1

Answer:

i'll help

Step-by-step explanation:

email corporatewriters4

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Answer:

what are the choices of answers

Step-by-step explanation:

The determinant of a is the product of the pivots in any echelon form u of a, multiplied by (1)r, where r is the number of row interchanges made during row reduction from a to u.- False

This is true only if A is an invertible matrix, which is not stated in the problem. p. 173 - definition of det A: det A = (-1)r * (product of pivots in echelon form) if A can be turned upside down, or 0 if A can't be turned upside down.

If a matrix is in row-echelon form, the first non-zero entry in each row is called a pivot, and the columns in which pivots appear are called pivot columns. If two matrices in row-echelon form have the same number of rows, then their pivots are in the same spot.

Learn more about matrix here- https://brainly.com/question/1279486

#SPJ4

Answer:

1.14 and -2.64

Step-by-step explanation: