Ask question

Ask question

All categories

4 years ago

14

There is a seven 1/2% sales tax added to the party bill. Mrs. Gutierrez also wants to add an 18% tip for the servers. This will

be figured before tax is added. What will be the total cost of the party?

1 answer:

Allushta [10]4 years ago

5 0

<span>1.255 times the party bill. x = party bill s = sales tax t = tip C = total cost = the bill, plus the sales tax, and the tip C = x + s + t We know that both the sales tax and the tip are percentages based on the party bill. The sales tax is equal to 7.5% of the party bill. The tip is equal to 18% of the party bill. so, s = (0.075)*x and, t = (0.18)*x Then we replace the s and the t in our equation, C = x + 0.075x + 0.18x Then, we add the elements together. C = (1+0.075+0.18)x C = 1.255x</span>

You might be interested in

Which is the graph of f(x) = }(4)*2

zavuch27 [327]

Answer: D

Step-by-step explanation:

Where the x-intercept is 0.25.

5 0

2 years ago

A tour director collected $258 for 13 tour packages tour package A cost $18 and tour package B cost $22 how many of each tour pa

eimsori [14]

There were 6 packages at $22.00 = $132
There were 7 packages at $18.00 = $126

6 0

3 years ago

Somebody help me with this

Alchen [17]

<u>Given</u>:

Given that the quadrilateral ABCD is inscribed in the circle.

The measure of ∠A is (14z - 7)°

The measure of ∠C is (8z)°

The measure of ∠D is (10z)°

We need to determine the measures of ∠A, ∠B, ∠C and ∠D

<u>Value of z:</u>

We know the property that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

Thus, we have;

$\angle A+ \angle C=180^{\circ}$

Substituting the values, we have;

$14z-7+8z=180$

$22z-7=180$

$22z=187$

$z=8.5$

Thus, the value of z is 8.5

<u>Measure of ∠A:</u>

The measure of ∠A can be determined by substituting the value of z.

Thus, we have;

$\angle A=14(8.5)-7$

$\angle A=119-7$

$\angle A=112^{\circ}$

Thus, the measure of ∠A is 112°

<u>Measure of ∠C:</u>

The measure of ∠C can be determined by substituting the value of z.

Thus, we have;

$\angle C=8(8.5)$

$\angle C =68^{\circ}$

Thus, the measure of ∠C is 68°

<u>Measure of ∠D:</u>

The measure of ∠D can be determined by substituting the value of z.

Thus, we have;

$\angle D=10(8.5)$

$\angle D=85^{\circ}$

Thus, the measure of ∠D is 85°

<u>Measure of ∠B:</u>

The angles B and D are supplementary.

Thus, we have;

$\angle B+ \angle D=180^{\circ}$

Substituting the values, we get;

$\angle B+ 85^{\circ}=180^{\circ}$

$\angle B=95^{\circ}$

Thus, the measure of ∠B is 95°

8 0

4 years ago

Read 2 more answers

Point m is located at 4,-2 what is located 2 units for point m

eimsori [14]

Answer:

None

Step-by-step explanation:

Given

$m = (4,-2)$

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

$m' = (4+2,-2) = (6,-2)$

$m" = (4,-2+2) = (4,0)$

$m'''= (4-2,-2) = (2,-2)$

$m'''' = (4,-2-2) = (4,-4)$

From the graph, we have:

$A = (4,2)$

$B = (-4,2)$

$C = (2,-3)$

None of the points is 2 units from m

7 0

3 years ago

Determine whether the data described in the tables is best modeled by a linear function or an exponential function.

Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 27

10 ${}$ 21

15 ${}$ 16

20 ${}$ 12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 40.2

10 ${}$ 46.3

15 ${}$ 53.2

20 ${}$ 61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

4 0

3 years ago