Question Solved1 Answer Solve the problem. The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation dA + 0.039A dt = 0. If there are 250 grams of the substance initially, solve for A as a function of t.

HAND IN QUESTION Hand in deadline: 11 AM Monday 3rd February H2 The limit of a separable equation Consider this equation, where a,b and k are constants: is 1 equ =kla - y)(b - y) Assuming an initial condition y = 0 at t=0: (i) Solve this equation for y(t) for the case a = b. (ii) Solve this equation for the case 0 < a < b. (iii) By considering the limit b + a in (ii) show that the two results are consistent with each other. W

The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g and graph g using - 6 sxs6 and -6 sys6. The graph of f(x) = Vx is shifted 1 unit to the right and 3 units down. g(x) = |

EXPERIMENT NO. 107: LATENT HEAT OF FUSION + Determining the Latent Heat of Fusion of Ice Mass of calorimeter, m. 62.2 8 Mass of water, m 140.0 g Mass of mixture, m. 'me 217.2 g Mass of ice, m 15.0 8 Initial temperature of ice, 0 C Initial temperature of calorimeter, 1 70 C In initial temperature of water, 70 *C Final temperature of mixture, mix 59 'C Experimental Latent heat of fusion, L, cal/g Actual Latent heat of fusion, L, 80 calg Percentage of error

A leaky 10-kg bucket is lifted from the ground to a height of 13 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 39 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 13-m level. Find the work done. (Use 9.8 m/s for g.) Show how to approximate the required work by a A leaky 10-kg bucket is lifted from the ground to a height of 13 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 39 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 13-m level. Find the work done. (Use 9.8 m/s for g.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter xi* as xi.) um (C ) ax Express the work as an integral. Evaluate the integral. (Round your answer to the nearest integer.)

When the price of a bar of chocolate is $1.00, the quantity demanded is 100,000 bars. When the price rises to $1.50, the quantity demanded falls to 60,000 bars. Calculate the price elasticity of demand using the mid-point method. Instructions: Round your answers to two decimal places. Include a negative sign if necessary. a. Suppose the price increases from $1.00 to $1.50. The price elasticity of demand is b. Suppose the price decreases from $1.50 to $1.00. The price elasticity of demand is

help 7. The Moez Company uses a normal job order cost system. Other data: . There are three jobs that pass through the two production departments. . Job 401 and Job 402 were completed and sold during January. . Job 403 was not completed as of December 31, 2022. . The company considers under- or overallocated overhead immaterial. Departments Actual Overhead Actual Direct Labor Rates $ 12 per hour $15 per hour Budget Overhead Driver Rates $10 per machine hour 150% of direct labor cost Department 1 $ 45,000 $ 60,000 Department 2 Job 401 Job 402 Job 403 Total $20,000 $34,000 $11,000 $65,000 Work in Process 01/01/2022 Direct materials: Department 1 $40,000 $26,000 $50,000 $116,000 $5,000 $8,000 $12,000 $25,000 Department 2 Direct labor cost: Department 1 $9,000 $12,000 $7,000 $28,000 $11,000 $16,000 $9,000 $36,000 Department 2 Machine hours: Department 1 800 1,200 2,300 4,300 Department 2 130 250 180 560 Place the information in T accounts and answer the following questions: a. What was the total allocated overhead during 2022? b. What was the cost of work in process on December 31, 2022? c. What was the value of the cost of goods sold account before any adjustment for over- or underallocated overhead? d. What was the value of the cost of goods sold account after any adjustment for over- or underallocated overhead? e. Why would a company use machine hours to assign overhead in one department and direct labor dollars in another department? f. If the company sells the jobs at a 20% margin based on cost, what was the selling price of Job 401?