17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with batter and baked in the oven. The baked cupcake forms a perfect hemisphere on top of the container. The surface area of this is frosted. A clear plastic lid, identical in size and shape to the cupcake container, is then placed on top. These containers are designed such that R-R, and h-2R₁. Given that 100 cm³ of batter costs 94, 100 cm² of frosting costs packing 4 27¢, 100 cm² of cardboard costs 1.5¢, and 100 cm² of plastic costs 3¢, complete the tasks below on the next page. The following formulas may be helpful: Conical frustum: S= √(R₂-R₁)² +h² SA (sides only) - (R₁ + R₂)s v=ah (R² + R₂R₂ + R²) Hemisphere: SA-2.лr² 2 V=²r³ a. Create functions of R, which return the cost, in dollars, of ingredients, I, and packaging, P. Approximate all coefficients to 4 decimal places. b. Find the volume of a baked cupcake if Grace wants 85% of the cost to go toward ingredients. Round to 2 decimal places. I 85 Hints: Consider that Use the "intersect" graphing calculator tool to find R₁. c. Find the efficiency ratio for the packaging to the baked cupcake, to 2 decimal places. P 15 (work space for problem 17) a. I= b. volume = P = c. efficiency ratio= 1083 (over) 39 17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with batter and baked in the oven. The baked cupcake forms a perfect hemisphere on top of the container. The surface area of this is frosted. A clear plastic lid, identical in size and shape to the cupcake container, is then placed on top. These containers are designed such that R-R, and h-2R₁. Given that 100 cm³ of batter costs 94, 100 cm² of frosting costs packing 4 27¢, 100 cm² of cardboard costs 1.5¢, and 100 cm² of plastic costs 3¢, complete the tasks below on the next page. The following formulas may be helpful: Conical frustum: S= √(R₂-R₁)² +h² SA (sides only) - (R₁ + R₂)s v=ah (R² + R₂R₂ + R²) Hemisphere: SA-2.лr² 2 V=²r³ a. Create functions of R, which return the cost, in dollars, of ingredients, I, and packaging, P. Approximate all coefficients to 4 decimal places. b. Find the volume of a baked cupcake if Grace wants 85% of the cost to go toward ingredients. Round to 2 decimal places. I 85 Hints: Consider that Use the "intersect" graphing calculator tool to find R₁. c. Find the efficiency ratio for the packaging to the baked cupcake, to 2 decimal places. P 15 (work space for problem 17) a. I= b. volume = P = c. efficiency ratio= 1083 (over) 39
Expert Answer:
Answer rating: 100% (QA)
Confidence Interval Population Parameter Difference ... View the full answer
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
Students also viewed these mathematics questions
-
A 1 m3 container is filled with 400 kg of granite stone, 200 kg dry sand and 0.2 m3 of liquid 25C water. Use properties from tables A.3 and A.4 and use air density of 1.1 kg/m3. Find the average...
-
A 1-liter container is filled with 2.0 mol Ar, 2.0 mol H 2 , and 4.0 mol Kr. Which of the following statements about these gases is false? a. The Kr is the densest of the three gases. b. The mole...
-
A 5 m3 container is filled with 900 kg of granite (density 2400 kg/m3) and the rest of the volume is air with density 1.15 kg/m3. Find the mass of air and the overall (average) specific volume.
-
An unknown compound A of molecular formula of C10H180 reacts with H2S04 and heat to form two compounds (B and C) of molecular formula C10H16. B and C both react with H2 over Pd/C to form decalin....
-
Lexa Company acquires the land and building owned by Malta Company. What types of costs may be incurred to make the asset ready for its intended use if Lexa Company wants to use (a) Only the land,...
-
A rocket is moving to the right at 1/2 the speed of light relative to the earth. A light bulb in the center of a room inside the rocket suddenly turns on. Call the light hitting the front end of the...
-
Determine if pretrial conferences are required or authorized in California. Are there special rules in California that must be followed?
-
Many companies use budgets for three purposes. First, they use them to plan how to deploy resources to best serve customers. Second, they use them to establish challenging goals, or stretch targets,...
-
Your company is bidding on a contract to supply 1 5 0 , 0 0 0 earphones per year for 4 years. Fixed costs of production will be $ 5 0 0 , 0 0 0 per year and variable costs will be $ 8 . 2 5 per unit....
-
We set the potential energy in the particle in the box equal to zero and justified it by saying that there is no absolute scale for potential energy. Is this also true for kinetic energy?
-
Write a while statement to sum the integers 1 through 10 given the following: int count = 1; int sum = 0;
-
Solve: 3 | 2 d - 9 | - 1 0 = 3 . ( Use a comma to separate multiple solutions. If there is no solution, enter as your answer. ) .
-
An electric point charge of Q1 = 9.15 nC is placed at the origin of the real axis. Another point charge of Q = 4.87 nC is placed at a position of p = 2.13 m on the real axis. At which position can a...
-
Helping Hand Hobby Stores has just paid an annual dividend of $1.20 a share. The company's policy is to increase the dividend at an annual rate of 5.4 percent. What's the current value of the stock...
-
Solve. 5r+20 2r-6 The solution set is 10 (Type an integer or a simplified fraction.)
-
Tracy is single and had adjusted gross income of $35,800 in 2018. Tracy also has the following items: How much may Tracy claim as itemized deductions?
-
The Euro is trading at near record lows relative to the US Dollar. Visit the FRED database (https://fred.stlouisfed.org/series/DEXUSEU) to review the USD/EU spot exchange rate. 1. Select one of the...
-
Privitera and Freeman (2012) constructed a scale to measure or estimate the daily fat intake of participants; the scale was called the estimated daily intake scale for fat (EDIS-F). To validate the...
-
When the transportation of natural gas in a pipeline is not feasible for economic reasons, it is first liquefied using nonconventional refrigeration techniques and then transported in super-insulated...
-
An ideal Ericsson engine using helium as the working fluid operates between temperature limits of 550 and 3000 R and pressure limits of 25 and 200 psia. Assuming a mass flow rate of 14 lbm/s,...
-
A pipe fitted with a closed valve connects two tanks. One tank contains a 5-kg mixture of 62.5 percent CO2 and 37.5 percent O2 on a mole basis at 30oC and 125 kPa. The second tank contains 10 kg of...
-
What is an emphasis of matter report used for?
-
Dunbar Manufacturing PLC is a multi-product manufacturing company with four factories around the country. The auditors, Tickitt & Run, have completed the interim audit for the year ending 31 December...
-
Deep Harbour Limited (DHL) is a private company owned by Daniel Lalande. Lalande started the company in 20X1, and DHL has reported reasonably consistent growth in profits from fiscal 20X1 to 20X7....
Study smarter with the SolutionInn App