Tyshawn bought a pair of shorts online for $75. He used a coupon code to get a 20% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?

The model of the exponential functions

25:

26

Considering the given problem,  f(x) = a(b)^x

the starting = a

the base = b

the exponents = x

25.

F: initial value of 100 decreasing at a rate of 5%

a = 100, rate, r = 5%, b = 1 - 0.05 = 0.95

f(x) = 100(0.95)ˣ

G: initial value of 20 increasing at a rate of 5%

a = 20, rate, r = 5%, b = 1 + 0.05 = 1.05

g(x) = 20(1.05)ˣ

solving for f(x) = g(x)

20(1.05)ˣ = 100(0.92)ˣ

divide through by 20

(1.05)ˣ = 5(0.92)ˣ

x㏒(1.05) = ㏒(5 + (0.92)ˣ)

x㏒(1.05) = ㏒5 - x㏒0.92

x㏒(1.05) + x㏒0.92 = ㏒5

-0.015x = ㏒5

x = -46.53

26.

f: initial value of 40 increasing at a rate of 25%

a = 40, r = 25%, b = 1 + 0.25 = 1.25

f(x) = 40(1.25)ˣ

g: initial value of 10,000 decreasing at a rate of 16%

a = 10,000, r = 16%, b = 1 - 0.16 = 0.84

g(x) = 10,000(0.84)ˣ

solving for f(x) = g(x)

40(1.25)ˣ = 10,000(0.84)ˣ

divide through by 40

(1.25)ˣ = 250(0.84)ˣ

x㏒(1.25) = ㏒(250 + (0.84)ˣ)

x㏒(1.25) = ㏒250 - x㏒0.84

x㏒(1.25) + x㏒0.84 = ㏒250

0.0212x = ㏒250

x = 113.11

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Answer:

D

Step-by-step explanation:

Things To Keep In Mind:

a^2 + b^2 = c^2 (Pythagorean Theorem)

C^2 is usually the hypotenuse or the slanted side across from the right angle

(The right angle is 90 degrees and is marked with a square)

a and b can be switched around

a=5

b=?

c=10

5^2+b^2=10^2

5^2=25

10^2=100

25+b^2=100

-25        -25

b^2=75

b=square root of 75

The answer is D

If there is a problem with this answer please feel free to tell me, thanks :)

Answer:

1. 18

2. 12

3. 10%

4. 20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

D) -10 = -28 + 17

ANS:- -10 = -10

Step-by-step explanation:

income is based on a formula (rt)

r is a % of p (% being Annual Interest)

t is time (number of years)

p is principal.

17. 9,600$ in interest (lost or gained, gained is added from p, lost is subtracted from p)

18. is 1,750$

I am not entirely sure what interest periods are but I assume you can use this formula to find it. good luck man.

Answer:

-11/500

Step-by-step explanation:

-0.022

To change the decimal number into a fraction, start by reading the number.

The second 2 is in the thousandths place. This number is read as:

"negative twenty-two thousandths"

Now write a fraction with 22 over 1000, and with a negative sign.

-0.022 = -22/1000

Now we reduce. 22 and 1000 are divisible by 2.

-0.022 = -22/1000 = -11/500

Answer: The mean is 75

Step-by-step explanation:

- You add the scores in the data:

78+64+74+92+67 = 375

- Then divide by the number of scores in the data:

there are 5 scores in the data,

1) 78

2) 64

3) 74

4) 92

5) 67

- So:

375/5 = 75 <--- mean

Answer: $250 profit

Step-by-step explanation:

600+105+115+130 = 950

1200 - 950 = $250 total profit

Answer:

- 8/7

Step-by-step explanation:

slope = (13-5)/(3-10)

slope = 8/-7

slope = - 8/7

Answer:

Fourteen and three ninthn feet

Step-by-step explanation:

Just add them together and you get the answer.

Answer: Twenty-Nine and Four-Sixths feet

Step-by-step explanation:

Perimeter is the sum of all sides.

So we just add 8 1/6 + 8 1/6 + 6 2/3 + 6 2/3

but before we can add them up we need to make our fractions have the same denominators

so we multiply the 2/3 by 2 to give us 4/6 then we can add the fractions together

1/6 + 1/6 + 4/6 + 4/6 = 10/6 or 1 4/6

then add 8 + 8 + 6 + 6 + 1 4/6 = 29 4/6 feet

The answer to this is 3

__________________________________________________________

PEMDAS=  Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction

__________________________________________________________

9/12 - 1/4 = 0.5  

0.5 x 5 = 2.5

2.5 + 0.5 =3

Answer:

17.876

Step-by-step explanation:

my math teacher Mr.Q

Answer:

9/5

Step-by-step explanation:

Slope=(y2-y1)/(x2-x1)

(10-1)/(7-2)

=9/5

Answer:

Y=8x+9

Step-by-step explanation:

The model of the exponential functions show that

Considering the given problem,  f(x) = a(b)^x

the starting = a

the base = b

the exponents = x

23. Table 1

At x = 0

f(x) = a(b)^x

(b)^0 = 1

solving for a

4 = a * (b)^0

4 = a

At x = 1

f(x) = a(b)^x

(b)^1 = b

substituting known variables

2 = 4(b)^1

b = 2/4

b = 0.5

for decreasing rate, b = 1 - 0.5 = 0.5

rate, r = 50%

24. Table 2

At x = 0

f(x) = a(b)^x

(b)^0 = 1

solving for a

100 = a * (b)^0

100 = a

At x = 1

f(x) = a(b)^x

(b)^1 = b

substituting known variables

110 = 100(b)^1

b = 110/100

b = 1.10

for increasing rate, b = 1 + r = 1.10, r = 0.10

rate, r = 10%

The base is what determines exponential growth or decay

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Answer:    X<1 1/2

Step-by-step explanation:

Answer:

16.449 = 16.4

9.84 = 9.8

by estimating = 26.2

Answer:

16.5+9.8=26.3

Step-by-step explanation:

The equation is  16.449+9.84. We need to add these together after we round them to the nearest tenth. Well with decimals it goes ones, tenths, hundreths. So The second number past the decimal on the right side, is the one that we are rounding. If the number is greater than 5 then we move the number to the next tenth value.If its less than f5 we do the complete opposite.

16.449 is going to be rounded to be 16.5.

9.84 is going to be rounded to be 9.8

Now that our numbers are rounded we can add them.

16.5+9.8=26.3

I hope this helps!!!

Any additional help with rounding to the nearest tenth you could, if you want, use the website nearesttenth.com (Just to help you, I don't work with that website and not trying to advertise it like that).

Answer:

6.25 or 6 1/4

Step-by-step explanation:

10 ÷ 1.6 = 6.25 or 6 1/4

Answer:

Total equation: X + Y = 11 pounds

Cost equation: 1.60X + 2.10Y = 20.10

Number of Pounds of Zucchini = 6

Number of Pounds of Broccoli = 5

Step-by-step explanation:

You get the equations by just pulling the information from the text.

We then take the total equation and rearrange it to solve for one of our values. I will be using X

X + Y = 11 so first subtract X from both sides to get

Y = 11 - X so now we know what Y equals

next take the cost equation and input X in wherever it shows up so

1.60 (X) + 2.10 (11 - X) = 20.10

now distribute 2.10 to the values in the parathesis to get

1.60X + 23.1 - 2.10X = 20.10

now combine like terms

-0.5X + 23.1 = 20.10

now subtract 23.1 from both sides

-0.5X = -3

now divide both sides by -0.5

X = 6

so now we know that he both 6 pounds of zucchini now plug that into the total equation

6 + Y = 11

subtract 6 from both sides

Y = 5

Answer: The inequality that matches the graph is x ≤ 5. This is because the graph has a solid vertical line at x = 5 and the shading is to the left of the line. This indicates that all values of x that are less than or equal to 5 satisfy the inequality.

The inequality x ≥ 5 would not match the graph because the shading would be to the right of the line. The inequalities y ≤ 5 and y ≥ 5 do not match the graph because they are not in the correct form. Inequalities involving y have a graph with a horizontal line, not a vertical line.

Answer: 8511. 523

Step-by-step explanation:

Re write the equation:

(5.21 x 1019) + (3.149 x 1017)

= 8511. 523

Answer:

y=-2x-1

Step-by-step explanation:

Answer: The amount off is 1.98 which means the the correct price is $16.02

Step-by-step explanation: 18 x 11 = 198 divided by 100 = 1.98 subtract 1.98 from 18 and boom you have the correct discounted price