1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
14

14

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Equation used to find total amount that Sam should pay is x = 23.5(1.18)

<h3><u>Solution:</u></h3>

Given that Sam wants to leave an 18 % tip for his dinner

The bill is for $ 23.50

To find: Equation used to find total amount that Sam should pay

From given question,

tip amount = 18 % of bill

bill amount = $ 23.50

Let "x" be the total amount that Sam should pay

total amount = bill amount + tip amount

x = 23.50 + 18 % of 23.50

x = 23.50 + 18 \% \text{ of } 23.50\\\\x = 23.50 + \frac{18}{100} \times 23.50\\\\x = 23.50 + 0.18 \times 23.50\\\\x = 23.5 + 0.18 \times 23.5\\\\x = 23.5(1 + 0.18)\\\\x = 23.5(1.18)

Thus the required equation is x = 23.5(1.18)

You might be interested in
consider the line y=2/3x-0 find the equation of the line that is parallel to this line and passes through the point(8, 4).
Mila [183]
To find the equation take the slope 2/3 y-y(1)=m(x-x(1) y-4=2/3(x-8) = 2/3x-16/3 Next solve for y y=2/3x-16/3 +4(turn 4 into a fraction with a common denominator) y=2/3x-16/3 + 12/3 y=2/3x-4/3
4 0
3 years ago
Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3
ki77a [65]

The greatest common factor is 2r^{4} s^{2}


This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.


Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.

6 0
4 years ago
Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the
natka813 [3]

Answer:

Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests

Step-by-step explanation:

5 0
3 years ago
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond
AURORKA [14]

Answer / Step-by-step explanation:

(a) The rate of return you expect to earn if you purchase a bond and hold it until maturity is the YTM.

If we recall the bond price equation for this bond is, we have

P0 = $1,060 = $100(PVIFAR%,21) + $1,000(PVIFR%,21)

Using a spreadsheet, financial calculator, or trial and error we find:

R = YTM = 9.42%

b) To find our HPY, we need to find the price of the bond in two years. The price of the bond in two years at the new interest rate, will be:

P2 = $100 (PVIFA 8.42%,17) + $1,000(PVIF 8.42%,17)

Therefore,  P2 = $1,139.6

(b2) To calculate the HPY, we need to find the interest rate that equates the price we paid for the bond with the cash flows we received. The cash flows we received were $100 each year for two years and the price of the bond when we sold it. The equation to find our HPY is therefore:

P0 = $1,060 = $100(PVIFAR%, 2) + $1,139.69(PVIFR%, 2)

Solving for R, we get:

R = HPY = 13.52%

Therefore,  the realized HPY is greater than the expected YTM when the bond was bought because interest rates dropped by 1 percent; bond prices rise when yields fall.

8 0
3 years ago
PLS HELP ME ASAP FOR 15 (SHOW WORK AND EXPLAIN!!!!!!) + LOTS OF POINTS!
Nataly_w [17]
Yes because 1.92/16 and 2.88/24 are both .12 which means 1 fluid ounce is 12 cents. 32 and 56 are the next sizes up because 3.84/.12 is 32 and 6.72/.12 is 56
6 0
3 years ago
Other questions:
  • If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.
    11·2 answers
  • According to statistics, a person will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the
    6·1 answer
  • Choose the ratio that you would use to convert 250 centimeters to meters. Remember that there are 100 centimeters in one meter.
    12·2 answers
  • The table shows the charge for renting a bicycle from a rental shop on Cumberland Island, Georgia, for different amounts of time
    6·2 answers
  • The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6
    13·1 answer
  • Which property justifies the statement below?
    11·2 answers
  • Is it possible to write the equation of every line in slope-intercept form?
    10·1 answer
  • A 12 ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach? Round to the nearest tenth, if ne
    5·1 answer
  • Complete the table to show the actual distance of each path, in miles.
    5·2 answers
  • Please help me! I don't know
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!