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Katarina [22]
2 years ago
3

Kacey and her three friends went out for lunch, and they wanted to leave a 15% tip. The reciept shown below lists the lunch tota

l before tax and tip. The tip is on the cost of food plus tax. The sales tax rate in Pleasantville is 9%. Find the actual total of the bill including tax and tip. If Kacey and her three friends spilt the bill equally, how much will each person pay including tax and tip? Show you work.​

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0
The tax brings it to $42.47. 38.96x9%=3.5064 so round to $3.51 added to bill = 42.47$. For the tip we need to figure out what 15% of $42.47 is so 42.47x15%=6.3705 so round to $6.37. Adding that tip to the bill 42.47+6.37=$48.84 so now divide that by 4 to determine what each person owes so $12.21 is what each person owes.
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What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perp
finlep [7]

Answer: Hello! The answer to your question is B, the intersection of the lines drawn to bisect each vertex of the triangle. Hope this helped! Please pick my answer as the Brainliest!

4 0
2 years ago
Angle ABD and angle DBC are linear pairs, and angle ABD and angle EDC are vertical angles. If the measure of angle ABD=5(2x+1),
Ugo [173]
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
  ∠ DBC = 3x+6  = 3*13+6 = 45

∠ ABD  and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2

The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs </span>




8 0
2 years ago
Read 2 more answers
T.J. invests $8,100 in an account
Illusion [34]

Answer:

$13,177.97

Step-by-step explanation:

Compound Interest Formula

A=P(1+\frac{r}{n} )^{nt}

A = final amount

P = initial investment

r = interest rate

n = number of times the rate is applied during a time period

t = number of times the time period has elapsed

A=8100(1+\frac{.072}{1} )^{(1)(7)} \\A=8100(1.072)^{7}\\ A=8100*(1.626909883)\\A=13177.97006

6 0
2 years ago
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
TEA [102]
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.
8 0
2 years ago
Read 2 more answers
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th
iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

Future Value = $25169 --- Approximated

Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0
2 years ago
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