John has $5 in his bank account when he gets a job. He begins making $109 a day. A student found that the equation that represents this situation is y = 5x + 109.

Answer:

26, -0.85, 17

Step-by-step explanation:

hi! so for 14, you can plug in -11 for every x in the equation.

f(-11)= 15-(-11)

=15+11

=26

your answer is 26.

for 15, we can plug in 0.3 for x.

g(0.3)=-2.5(0.3)-0.1

= -0.75-0.1

= -0.85

your answer is -0.85.

for 16, you can plug in -17 for x.

f(-17)= -(-17)

=17

your answer is 17.

Answer:

14:   26

15: -8.5

16:  17

Step-by-step explanation:

The f(x) basically gives you what x is, as the inside of parenthesis means the value of x. You then can plug in x into the equation for each of the equations. Whenever you get something like 24- (-42) The negatives cancel out and you add the two values together instead.

Hope this helps!

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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The relative frequency of the first class is 0.25.

Relative frequency is a term used to describe the proportion of times an event occurs in a set of data, compared to the total number of events. In other words, it's the ratio of the frequency of the event to the total frequency of all events.

To determine the relative frequency of the first class, we need to first find the frequency of the first class. The frequency is the number of times the event occurs in the data set. Let's say the frequency of the first class is "f". Then, the relative frequency can be found by dividing the frequency of the first class by the total number of events (let's say it's "n").

Relative frequency = f / n

We round our answer to three decimal places to make it easier to understand and compare to other data.

If there are 100 total events and the frequency of the first class is 25, then the relative frequency would be:

Relative frequency = 25 / 100 = 0.25

Complete Question:

Determine the relative frequency of the first class. round your answer to three decimal places when 100 total events and the frequency of the first class is 25

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Answer:

1512cm is the answer.

Step-by-step explanation:

Answer:

y ≥ 0

y < 45529

0 < y ≤ 45529

Answer:The answer is D

Step-by-step explanation:

Answer:

2244.9

Step-by-step explanation:

Anually compound interest formula

PV(1+i)^t

1800(1+.0375)^6

1800*1.0375^6

2244.921387 which rounds to

2244.9

Answer:

80+30h

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Answer:

13 and 7

Step-by-step explanation:

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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a.

Let's write function g(x) better:

Now we can do the substraction easier

That's answer a

b.

We write h(x) better too:

And do the same as before:

That's answer b

on solving the provided question, we can say that by equation we Consequently, he will sell 16 automobiles at this price.

A number, a variable, or a mix of both, combined with certain operation symbols, make up an expression. An equal sign is used to denote the separation of two expressions in an equation.

Here,

Given: Number of cars sell in a day = 12

Price of a car =\($23,000\)

For each $300 price reduction dealer can sell two more cars per day.

Solution: Let there be x unit 300 price reduction

2x unit increase in sale of car

\(|R(x)=(15000-300x)(12+2x)\)

Cost

\(|C(x)=1000+12000 (12+2x)\)

Profit

\(|P(x)=(15000-300x)(12+2x)-1000+12000 (12+2x)\\15000(12+2x)–12000 (12+2x)-300x(12+2x)-1000\\=180000-144000+30000x-24000x -3600x -600-1000\\=36000+2400x-600 = P'(x)=-1200x +2400 = P"(x)=-1200\)

For critical points

\(P'(x)=0= -1200x + 2400=0= x=2\)

Since P"(x) <0at x = 2it is max profit 12+2x=12+2(2)=16

16cars per day he will sell

\(Price = 15000-300*16 = $10200\)

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The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

y = -2x - 4         ...1

y = 2x - 4          ...2

From equations 1 and 2, then we have

2x - 4 = - 2x - 4

4x = 0

x = 0

Then the value of the variable 'y' is calculated as,

y = 2(0) - 4

y = - 4

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

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Answer:

tndjxisjebducu

ejdjdnebdix

Answer:

2 out of 5 chance of being red

Step-by-step explanation:

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer: C

Step-by-step explanation:

The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.

Answer:B.6 and 7

Step-by-step explanation: square root of 47 =6.9

The equation of the Line L is 2x - y \(=\) -1 .

In the question ,

a line graph is given ,

we can find two points from the line .

first point : when x = 1 , y is 3

the first coordinate is (1,3)

second point : when x = 2, y is 5 .

the second coordinate is (2,5)

the slope of the line passing through (1,3) , (2,5) is

m = (5-3)/(2-1)

m = 2/1

m = 2

the equation of line passing through (1,3) and slope as 2 is

y-3 = 2(x-1)

y - 3 = 2x - 2

2x - y = -3+2

2x - y = -1

Therefore , The equation of the Line L is 2x - y \(=\) -1 .

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Answer:

pi rad/s

Step-by-step explanation:

360 degrees = 2pi radians

thus 180 deg = pi radians

Answer:

24 ft

Step-by-step explanation:

To find the missing length, we start with the area. We know that we have an area of 96 square ft (although i dont know why someone would have such a big yard). We also know that the width of the yard is 4 ft. The next thing we do is divide. Since we multiply the length and width to find the area, we will divide the area by the width to find the missing length. 96/4= 24. Btw here is the weird yard someone has lol ( i made it to the best of my ability)

|----------------------------------------------------------|

|_______________________________|

Answer:

length=12 feet

Step-by-step explanation:

l*w=a

l*w=96

factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

12*8=96

12-8=4

12 feet=length     8 feet=width

The standard form of a line is given by:

for:

Multiply both sides by 10:

Answer:

x = 4

Step-by-step explanation:

Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)

Perimeter of square: P = 4(6.5x - 11.8)

so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)

5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2

12.2x + 8 = 26x - 47.2

26x - 12.2x = 8 + 47.2

13.8x = 55.2

x = 55.2/13.8 = 4

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer: -2x+18

Hope this will help :)

Answer:

-2x + 18

Step-by-step explanation:

Simplfy

-6 (x - 3) + 4x

-6x + 18 + 4x         Combine liked terms

-2x + 18