The total bill for drinks and a pizza for three people is $14.90 before tax. The group wants to leave a 15% tip on the cost of the food, not including tax. What will be the amount of the tip?

Answer:

11.6m

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

We solve the above question using the Trigonometric function of Sine.

sin θ = Opposite/ Hypotenuse

Hypotenuse = Length of the ladder = 13.5m

Opposite = d

θ = 59° 22'

= 59° + 22/60

= 59° + 0.367

= 59.367°

Hence,

sin 59.367 = d/13.5m

d = sin 59.367 × 13.5m

d = 11.616057416m

Approximately = 11.6m

Therefore, the distance d the ladder goes up the wall is 11.6m

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Answer: 30 mins.

Step-by-step explanation:

The mode is the value that appears the most times.

In such a situation, first order the numbers in an ascending order:

15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45

As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.

Answer:

27

Step-by-step explanation:

6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27

Answer:

Lily earns $225

y represents the amount that Lily earns

x represents the painting's price

Step-by-step explanation:

Answer: -v^2 + 8v + 401

Step-by-step explanation:

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

Answer:

I believe the answer is y=x+-13

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

             ==== subtract these two equations ==>>  (2x - 2x) + (3y - 2y) = 6 - 8

                                                                                       0x     +      y       =   -2

        y = -2     so if  x + y = 4             plug in -2 where y was

                             x + (-2) = 4              add 2 to both sides

                                    x   =  6

(6,-2)

(-2,6)

(-3, 4)

(0, 2)

Answer:

Step-by-step explanation:

300t=280(t+2)

300t=280t+560

20t=560

t=28

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

Answer:

The answer is x=16 so whatever the equations should look like it should be this:

Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16

Answer: Michaela's answer

Step-by-step explanation:

Dema added the numbers together

The most frequent value = mode

The middle value = median

The average = mean

The difference between the lowest and highest value = range

Answer:

Mode is the most frequent value

Mean is the average

Median Is the middle value

Range is the difference between etc...

Answer: 140

Step-by-step explanation:

Answer

LINE OF REFLECTION

Step-by-step explanation:

In geometry, reflection basically just means flipping things over a line.

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

Answer:

0

Step-by-step explanation: i did the lesson

Answer:

13

Step-by-step explanation:

Answer:

33

because every other number is a multiple of five, but not 33

Step-by-step explanation:

Answer:

Area of shaded part = 0.42 unit²

Step-by-step explanation:

Given:

Length of shaded part = 0.7 unit

Width of shaded part = 3 x 2 = 0.6 unit

Find:

Area of shaded part

Computation:

Area of rectangle  = L x B

Area of shaded part = 0.7 x 0.6

Area of shaded part = 0.42 unit²