Your bill for lunch was $12.86. How much would 20% tip be? What would your total be with tip included? Explain how you used math to come to your decision.

Answer:

The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

[tex]y = A\cdot e^{B\cdot x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]A, B[/tex] - Coefficients.

If we know that [tex](x_{1}, y_{1}) = (7,12)[/tex] and [tex](x_{2}, y_{2}) = (8,25)[/tex], then we get the following system of equations:

[tex]A\cdot e^{7\cdot B} = 12[/tex] (2)

[tex]A\cdot e^{8\cdot B} = 25[/tex] (3)

If we divide (3) by (2), we calculate the value of [tex]B[/tex]:

[tex]e^{B}=\frac{25}{12}[/tex]

[tex]B = \ln \frac{25}{12}[/tex]

[tex]B \approx 0.734[/tex]

And by (2), we determine the value of [tex]A[/tex]:

[tex]A = 12\cdot e^{-7\cdot B}[/tex]

[tex]A = 0.0704[/tex]

The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].

Step-by-step explanation:

Length (L) = 2 cm

Breadth (b) = 2 / 3 cm

Area of the rectangle

= L * b

= 2 * 2/3

= 4/3 cm²

Hope it will help :)❤

Answer:

i think its B) because its a subtraction equation

The equation that represents the total number of canned goods in Homeroom 106 on Monday will be 64 - c = 17. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

On Monday, Homeroom 104 turned in 64 canned goods. This is 17 less than the number of canned goods Homeroom 106 turned in.

Let c be the total number of canned goods in Homeroom 106. Then the equation is written as,

64 - c = 17

The equation that represents the total number of canned goods in Homeroom 106 on Monday will be 64 - c = 17. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

74 Degrees

Step-by-step explanation:

Mistakes were made when i said 37

Answer:

[tex]\Huge\boxed{74}[/tex]

Step-by-step explanation:

Hello There!

First things first, we need to find the value of x

If you didn't know the measures of supplementary angles add up to equal 180 so we can use this equation to solve for x

180 = 2x + 3x - 5

step 1 combine like terms

2x + 3x = 5x

now we have

180 = 5x - 5 step 2 add 5 to each side

-5 + 5 cancels out

180 + 5 = 185

now we have 185 = 5x

step 3 divide each side by 5

5x/5=x

185/5=37

we're left with x = 37

Now we want to plug in 37 into x for angle A

angle a = 2(37)

2*37=74

so we can conclude that angle A = 74

Answer:

3

Step-by-step explanation:

Answer:

3

Step By Step Explanation:

Took the test and did it while listening to the Halo theme. Guaranteed correct answer.

Answer:

you ended up having = 1/n^3[1^2+2^2+3^2...(n-1)^2]

hope this helps :')

Answer:

1. 132.    .2     143

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

x = (137-2)/5 = 27

Answer:

A)Rhombus

Lollllllllll

Answer:

A

Step-by-step explanation:

Squares have 90 degree angles, not 60.

Answer:

The answer is B cause all the rest is lower and negatives make the other one wrong so the answer is B hope this helps :)

Answer:

-1.2<6.9 is the statement that's true.

Explanation: - 1.2 is smaller than 6.9

Answer:

SSS

Step-by-step explanation:

Answer:

The answer is 55 degrees.

Step-by-step explanation:

As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.

Answer:

The answer is 55 degrees.

Step-by-step explanation:

As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.

Answer:

Sure Amaya  , the grouping is the parenthesis, right?

Step-by-step explanation:

so  just add up.. the things outside of the parenthesis

-  [tex]4^{2}[/tex] * 4

so exponents come first in the order of what to do... right?

[tex]4^{2}[/tex] =16    okay , got that part, the next part is

16 * 4 = 64   okay got that part,  now

- 64   is what is subtracted from the grouping   , got it?

Answer: each 0.5 hour or 30 minutes they travel 1 mile

Step-by-step explanation:

so just keep adding 1 mile each 0.5 hour

Answer:

Step-by-step explanation:

3 divided by 1.5 = 2

To fill in the answer for the distance traveled, you multiply the time by two.

Example: 0.5 x 2 = 1

                1 x 2 = 2

so on and so forth

Answer:

Step-by-step explanation: what type of math is this

Answer: x=9,-1

Step-by-step explanation:

First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8

Those numbers would be -9 & 1

-9+1=-8

-9x1=-9

Now we have

(x-9)(x+1)

x-9=0   x+1=0

 +9 +9   -1  -1

x=9      x=-1

The sum of the first 75 terms of the sequence is -5.068*10^34

Given the following geometric sequence

[tex]a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)[/tex]

The sum of the nth term of the GP is expressed as;

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]

a = -1/3

n = 75

r = a₂/a₁

a₂ = -3a₁

a₂ = -3(-1/3)

a2 = 1

r = 1/(-1/3)

r = -3

Substitute the given values in the formula;

[tex]S_n = \frac{-1/3(1-3^{75})}{1-(-3)}\\S_{75} = \frac{-1/3(3^{75}-1)}{1+3} \\S_{75} = \frac{-1/3(6.082 \times 10^{35}-1)}{4}\\S_{75} = \frac{-1/3(6.082 \times 10^{35})}{4}\\S_{75} = -0.5068 \times 10^{35}\\S_{75} = -5.068 \times 10^{34}\\[/tex]

Hence the sum of the first 75 terms is -5.068*10^34

Learn more on geometric series here: https://brainly.com/question/20548958

Answer: 21.08

Step-by-step explanation:

Turn 85 into a percent then multiply by 24.80.

0.85*24.80= 21.08

Hope this helps :)

Answer:

-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)

Distribute to remove the parentheses.

Collect like terms

-154y+170

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

3 minus 4 is -1, Kate is in debt and owes one apple.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

26 degrees.

Step-by-step explanation:

We are given

We are trying to find angle measure of j.

Since we are given a side opposite of our angle we are trying to find and a side adjacent to the angle we are trying to find we are going to use tan ratio.

[tex] \tan(x) = \frac{opp}{adj} [/tex]

[tex] \tan(x) = \frac{46}{93} [/tex]

since we are trying to find the angle measure apply inverse trig function

[tex] \tan {}^{ - 1} ( \frac{opp}{adj} ) [/tex]

Plug 46 for opp and 93 for adj.

[tex] \tan {}^{ - 1} ( \frac{46}{93} ) [/tex]

which is about 26 degrees.

Decimal

Fraction

Percentage

0.53

53/100

53%

Answer:

Its the first oneeeeeeeee

Step-by-step explanation:

Brainlest is apprciated Have a Great dayyyyyyy

Answer:

The fourth one makes the most sense

Step-by-step explanation:

Answer:

8.36

Step-by-step explanation:

Answer:

el 9

Step-by-step explanation:

Porque 9+9=18

Entonces si los sumamos más 4:

18+4=22

el número es 9

Answer: x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)​

4x+8y-3x-8y

x+16y

Step-by-step explanation:

the first diagram is

adj=3.28yd

the second diagram

hyp=10.3in