Emile went out for dinner and received a bill for $32.45. He left an 18% tip How much
did Emile pay for dinner including his tip?

Answer:

one and 1/6 cups (1 1/6)

Step-by-step explanation:

2/3 + 1/2

TOTAL means addition.

To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).

The denominator of 2/3 is 3.

The denominator of 1/2 is 2.

Now, we list the multiples of the denominator and find the lowest multiple they have in common.

3: 3, 6, 9, 12, 15

2: 2, 4, 6, 8, 10

The lowest number they have in common is 6.

Second, we change the denominators to 6.

In 2/3, to make 3 into 6, we have to multiply it by 2.

Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.

2/3 x 2/2 = 4/6

Now we do the same for 1/2.

1/2 x 3/3 = 3/6

Now, we add the new fractions.

4/6 + 3/6 = 7/6

7/6 = 1 1/6 (one and 1/6 cups).

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation:

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Answer:

D. 116

Step-by-step explanation:

Let the grasshoppers with a white marking be 2x.

Let the grasshoppers without a white marking be 3x.

2x + 3x = 290

5x = 290

x = 290 / 5

x = 58

The grasshoppers with a white marking

= 2x

= 2 ( 58 )

= 116

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

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

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

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

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

Answer:

[tex]n(A \cup B) = 6[/tex]

Step-by-step explanation:

In Venn sets, we have that:

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

In which n is the number of elements that each set contains.

In this question:

[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]

So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]

So

[tex]n(A \cup B) = 6[/tex]

Answer:

See step by step explanation

Step-by-step explanation:

Q = 875  + 6 * Adv. expenditure + 15* Income - 5 * Product price

A.- As we can see each unitary change (in thousands of $) in Income, will mean an increase of  15 $ (thousands ) in the demand function, the highest impact in Q

C.- The regression model is capable of explaining  92 % of the variation in Q due to the predictors.

D.- If the price is increased by 10 $ demand will decrease in 50

Answer:

2(x+9)≤4x

Step-by-step explanation:

2x+18≤4x

-18       -18

2x≤4x-18

-4x  -4x

-2x≤18

/-2  /-2

x≥9

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

9514 1404 393

Answer:

  $4717.30

Step-by-step explanation:

Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...

  I = Prt

  I = ($29,300)(0.0322)(4 +1) = $4717.30

The accrued interest is $4717.30.

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

11+k=29

Step-by-step explanation:

So "more than" means addition.

let's solve this for fun

11 + k =29

k = 29-11

k= 18

Answer:

55

Step-by-step explanation:

straight lines are always 180.

[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]

Answer:

She can only spend 300 of her monthly salary on rent.

Step-by-step explanation:

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{4.5}{7.5}[/tex] = [tex]\frac{3}{x}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

divide

x = 5

Answer:

Step-by-step explanation:

Answer:

2(21/pi)=d

Step-by-step explanation:

The formula for a circumference is C=2(pi)(r) in this case we know our circumference is 42 meters so 42=2(pi)(r), we must leave our radius by itself so we divide by 2 to get 21=pi(r) we then also divide by pi which will get us 21/pi=r and we know that the diameter is double of the radius so we just double which will then be 2(21/pi)=d

Answer:

11/3, 9/5, 9/5 , 2/3 , 1/3 , -1/3.1 , -1/3

Step-by-step explanation:

we do this because when you start multiplying your 2nd digit you would put the zero to signifie that you started a mother digit.

if this is not what your looking for then sorry

Answer:

Step-by-step explanation:

If you add up all the male and female categories, the total is 400

the number of females between 22 and 39 is 51

P(22 - 39)  = 51 / 400

P(22 - 39) = 0.1275

I think the answer you want is 51/400

Answer:

64

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Answer:

x = 66°

Step-by-step explanation:

unmarked angle = x because it is an isosceles triangle.

The sum of all three interior angles of any triangle = 180°

So:

2x + 58° = 180°

2x = 122°

x = 66°