A birthday celebration meal is $49.20 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.

Step-by-step explanation:

fg(x) =

[tex] {(x - 4)}^{2} + 3(x - 4)[/tex]

=

[tex] {x}^{2} + 16 - 8x + 3x - 12[/tex]

=

[tex] {x}^{2} - 5x + 4[/tex]

Answer:

Step-by-step explanation:

A + B = (-4x^2 +2x -5) +(3x^2 +6) = x^2(-4+3) +x(2) +(-5+6) = -x^2 +2x +1

  The given sum is Incorrect.

__

A - C = (-4x^2 +2x -5) -(-5x -4) = -4x^2 +x(2+5) +(-5+4) = -4x^2 +7x -1

   The given difference is Correct.

__

B + C = (3x^2 +6) +(-5x -4) = 3x^2 -6x +2

  The given sum is Incorrect.

Answer:

The slopes are perpendicular

Step-by-step explanation:

Points A and B line on the line y = 2/3x + 4.

This line is in the form

y = mx+b where m is the slope

The slope is 2/3

Points C and D line on the line 6x + 4y = 16.

Solve for y

6x+4y = 16

4y = -6x +16

Divide by 4

4y/4 = -6/4x + 16/4

y = -3/2 x +4

The slope is -3/2

The slopes multiply to -1

2/3 * -3/2 = -1

so they are perpendicular

Answer:

/

Step-by-step explanation:

Answer:

expanded form: (500,000 +20,000) + (3,000 + 600 + 40)

standard form: 523,604

expanded form: (4,000,000,000 + 10,000) + (7,000 + 90) + (40 + 7)

standard form: 4,017,947

Step-by-step explanation:

Hope this helps have a nice day

plz give me brainliest :)

Step-by-step explanation:

Given data:

You = 3/4

Andrea = 1/2

Bart = 4/5

Camden = 7/8

Drake = 3/7

Ethan = 2/3

1. Drake would not be getting into the gate first because he is far behind at 3/7.

2. each fraction represents how far each have travelled Or moved on the line. Just like how you have move 3/4 on the line which represents three quarter of the line, and Andrea has moved half way through the line at 1/2.

3. Camden 7/8 would get to the get first and Drake 3/7 would get in last.

Answer:

c onedge

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A. The option that results in the smaller finance charge/interest is option 1

B. The option that will result in the smaller monthly payment is option 1

C. The interest they will earn in 4 years, I = $6,643.972

D. The time it will take for them to earn an interest of $500 by loaning $5,600 at 1.5% is approximately 5.95 years

Step-by-step explanation:

A. The simple interest, I, formula is given as follows;

[tex]I = \dfrac{P \times R \times T }{100}[/tex]

Where;

P = The principal

R = The rate

T =The time given for the loan

For Option 1 the first option, we have;

Down payment = 0.2 × $5600.00 = $1,120.00

Principal = $5600.00 - $1,120.00 = $4,480.00

[tex]\therefore I = \dfrac{\$ 4480\times 5 \times 3 }{100} = \$672[/tex]

For Option 2. the second option, we have;

P = $5600.00

[tex]\therefore I = \dfrac{\$ 5600 \times 5.25 \times 3 }{100} = \$1176[/tex]

The option that results in the smaller finance charge is option 1

B. For option 1, the total amount = Principal + Interest

∴ The total amount remaining = $4480 + $672 = $5,152

The monthly payment = A/N

Where;

A = The total amount yet to be paid out of the loan = $5,152

N = The number of time periods = 3 × 12 = 36 months

The monthly payment = $5,152/36 = [tex]\$ 143.\overline{111}[/tex]

For option 2, the total amount = Principal + Interest

∴ The total amount remaining = $5,600 + $1176 = $6776

The monthly payment = A/N

Where;

A = The total amount yet to be paid out of the loan = $6,776

N = The number of time periods = 3 × 12 = 36 months

The monthly payment = $6,776/36 = [tex]\$ 188.\overline{222}[/tex]

Therefore, the option that will result in the smaller monthly payment is option 1

C. For a compound interest on a principal of $5,600 invested for 4 years in a savings account that gives an interest rate 21.6% per annum, we have;

[tex]A = P \times \left(1 + \dfrac{r}{n} \right)^{(n\times t)}[/tex]

We have, using the annual rate, rather than calculating for the monthly rate;

[tex]A = 5600 \times \left(1 + 0.216 \right)^{4} \approx 12243.972[/tex]

Therefore, the amount they will have in 4 years ≈ $ 12,243.972

The interest they will earn in 4 years, I = A - P ≈ $ 12,243.972 - $5,600 = $6,643.972

The interest they will earn in 4 years, I = $6,643.972

D. To earn an interest of $500 at an interest rate of 1.5%, we have;

[tex]500 = \dfrac{5600 \times 1.5 \times T}{100} = 84 \times T[/tex]

From which we have;

[tex]T = \dfrac{500}{84} = \dfrac{125}{21} = 5\frac{20}{21} \approx 5.95[/tex]

Therefore, the time it will take for them to earn an interest of $500 by loaning $5,600 at 1.5% is approximately 5.95 years.

Answer:

5x+3y=-15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

12/5=2.4

56/5=11.2

so the even integers between them are

4,6,8, and 10

4 inegers

There are four even integers number that lies between 12/5 and 56/5. Then the numbers are 4, 6, 8, and 10.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

If the integer number is divisible by 2, then the number will be known as even number.

The two integers are 12/5 and 56/5.

Convert the numbers into decimal form.

2.4 and 11.2

There are 4 even integers that are 4, 6, 8, and 10.

There are four even integers number that lies between 12/5 and 56/5. Then the numbers are 4, 6, 8, and 10.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

linear polynomial

Step-by-step explanation:

as no degree is given

Answer:

34.556

Step-by-step explanation:

Hope this helps!

124

i added 94+33 then substracted 3 hope it helps you

Answer:

9/35 or 0.2571428

Answer:

9/35 (Already Simplified)

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

4×97×20=36140

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 36 and 140 using

GCF(36,140) = 4

36÷4140÷4=935

Therefore:

47×920=935

Solution by Formulas

Apply the fractions formula for multiplication, to

47×920

and solve

4×97×20

=36140

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(36,140) = 4

36÷4140÷4=935

Therefore:

4/7×9/20=9/35

Answer: Exact Form:  4 /5

Decimal Form:  0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cancel -3

[tex]\frac{1}{5x4}[/tex]

Simplify  5 x 4 to 20.

​[tex]\frac{1}{20}[/tex]

Decimal Form: 0.05

Answer:

Step-by-step explanation:

The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;

x+5 = 0

x = -5

Next is to generate the remainder.

Substitute x = -5 into the polynomial function

P(x) = x^3 - x^2 - 17x -15

P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15

P(-5) = -125-25+85-15

P(-5) = -150+70

P(-5) = -80

Hence the remainder is -80

Answer:

Qoutient=x^2+4x+3

Remainder=0

Answer:

Step-by-step explanation:

Pretty sure it's the third picture where it makes a U shape, since it passes the vertical line test.

Answer:

4

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

Substitute the given value into the function and evaluate.

Answer: [tex]\mu_{x+y} =[/tex] 3026

              [tex]\mu_{x-y}=[/tex] 30

Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

[tex]\mu_{x+y}=\mu_{x}+\mu_{y}[/tex]

Assuming x represents the random male selected and y represents the random female selected:

[tex]\mu_{x+y}=1528+1498[/tex]

[tex]\mu_{x+y}=[/tex] 3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

[tex]\mu_{x-y}=\mu_{x}-\mu_{y}[/tex]

[tex]\mu_{x-y}=[/tex] 1528 - 1498

[tex]\mu_{x-y}=[/tex] 30

The average difference of their scores is 30.

Answer:

0.82

Step-by-step explanation:

Given:

A be the event that an Internet user posts photos taken by themselves.

B be the event that an Internet user posts photos taken by themselves.

P(A) = 0.47

P(A) = 0.28

P(A or B) = [tex]P(A\cup B)[/tex] = 0.52

To find:

Conditional probability that an Internet user posts photos given that they post videos.

OR

P(A/B) = ?

Solution:

Formula to be used to find the required conditional probability:

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For this, [tex]P(A \cap B)[/tex] is required.

Formula

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]0.52=0.47+0.28-P(A\cap B)\\\Rightarrow P(A\cap B)=0.23[/tex]

Now, the required conditional probability is:

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}\\\Rightarrow P(A/B) = \dfrac{0.23}{0.28}\\\Rightarrow \bold{P(A/B)} = 0.82}[/tex]

So, the answer is 0.82.

Answer:

5040

your welcome

Answer:

A=35

hope this helps

can you also please mark me as brainliest?

The numbers are a bit blurry so I can't determine the numeric standard deviation for each set. However, we can see that the histogram on the left has an outlier, which will increase the standard deviation compared to the data set that doesn't have an outlier. Therefore it is likely data set U has a larger standard deviation.

Answer:

a & c

Step-by-step explanation:

edge

Answer:

A. Point H is the center of the circle that passes through points D, E, and F

C. HC≈HD

Answer:

The answer is 8

Step-by-step explanation:

use order of operations.

*remember that there is an understood -1 in -(-8). this can also be written as -1(-8)*

[tex]-6-(-8)+6\\-6+8+6\\2+6\\8[/tex]

hope this helps!