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A projectile is launched from a 5m high platform with an initial speed of 28m/s, in a direction 60\deg upward from horizontal. Ignore air resistance. Suppose the projectile was launched from the point (0,5). Step 1 of 2 : Find a vector function that models the projectile’s path. Do not substitute the value for g. Write the exact answer. Do not round.

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Question 21 (Mandatory) (1 point) Perform the indicated operation. [[-6,2,-2],[4,5,9]]-[[-4,-4,-2],[0,-11,1]] a) [[-2,6,0],[4,16,8]] b) [[-7,-11,-4],[-2,-30,-2]] c) [[-10,-2,-4],[4,-6,10]] d) [[1,-3,0],[-2,-8,-4]] Question 25 (Mandatory) (1 point) Given the matrices below, find the value of A+C. A=[[0,0,-3],[-6,5,9]], C=[[-1,-9],[0,9],[-2,-3]] a) [[1,0,-1],[3,-4,12]] b) not defined c) [[-1,2],[7,5]] d) [[-2,-6,-9],[2,2,6]] Question 22 (Mandatory) (1 point) Solve for x in the matrix equation. -3,0 -8,-4 a) -3 b) 3 c) 7 d) -7 Question 18 (Mandatory) (1 point) Given the matrices below, find the value of E+3D. D=[[-2,-6,-9],[2,2,6]], E=[[-1,0,-2],[-9,9,-3]] a) [[1,0,-1],[3,-4,12]] For the following matrix product, what is the value of x? [[5,7,5],[7,8,5],[4,3,2]][[1,8,9],[6,4,3]]=[[a,b],[c,d],[x,y]] a) 55 b) 56 c) [[-2,2],[-6,2],[-9,6]] d) 24

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n Ethernet when Manchester encoding is used, the bit rate is: (1 Point) Half the baud rate. Twice the baud rate. Same as the baud rate. none of the above

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QUESTION 4 Which example shows separation anxiety? Ten-month-old Billy wails when an unfamiliar relative reaches to pick him up. Three-year-old Cindy gets upset when her best friend is absent from the child care center. Two-year-old Anthony begins to cry when his mother leaves him at a day care center. Three-year-old Lilly cries when she is left at the day care center because she is afraid of another child.

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Texts: 2. BBB purchased equipment with a cash cost of $512,000. The seller has offered to accept $102,400 payments at the end of the next seven years. What is the total amount of interest that BBB will pay over the term of the loan? 921,600 204,800 512,000 716,800 3. On December 1, 2025, Alexandria Company sold machinery to Clovers Company. The two companies entered into an installment sales contract at a predetermined interest rate. The contract required four equal annual payments with the first payment due on 12/01/2025, the date of the sale. What time value of money concept is appropriate for this situation? future amount of 1 for four periods future amount of an annuity of 1 for four periods present value of an ordinary annuity of 1 for four periods present value of an annuity due of 1 for four periods 4. Bert and Ernest want to begin saving for their child's college education. They estimate that they will need $115,000 in twelve years. If they can earn 2% per annum, how much must be deposited at the end of each of the next twelve years to fund the education? 8574 9450 10134 10874 5. Betty and Ernie want to begin saving for their child's college education. They estimate that they will need $190,000 in eighteen years. If they can earn 8% per annum, how much must be deposited at the beginning of each of the next eighteen years to fund the education? 5630 2027 3507 34698 6. Clovers Corporation will receive $38,000 on January 1, 2025, and each January 1 for the next five years (2026-2030). What is the present value of the six $38,000 receipts, assuming a 10% interest rate? 165,500 182,050 322,512 293,193 7. Today Ali has $1,300 to invest, which of the following will provide the highest future value? 5 years with a simple interest rate of 10% 10 years with a simple interest rate of 5% 8 years with a compound interest rate of 8% 5 years with a compound interest rate of 9%

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\vec{x}' = \begin{pmatrix} -1 & \frac{3}{2} \ \frac{-1}{6} & -2 \end{pmatrix} \vec{x} \quad \vec{x}(2) = \begin{pmatrix} 1 \ 0 \end{pmatrix}

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NAME PRINT LAST NAME, FIRST NAME SECTION# MARKET FAILURE 1. When consumers lack perfect information about product prices: a. the outcome will be efficient because product prices will always be the same under perfectly competitive conditions. b. the outcome may not be efficient because consumers may pay a high price for a product that is available for a lower price elsewhere. c. they will not buy the product until they have obtained full information. d. the outcome will be efficient because consumers will only pay a high price for a product if they think it is worth it. 2. In the market for information, government sometimes steps in to: a. enforce sales that were made on the basis of misleading information. b. prevent sellers from making false and misleading claims. c. enforce contracts that were made on the basis of false information. d. prevent sellers from providing information to buyers. 3. Which of the following is an example of a positive externality? a. The noise created by an auto racetrack located near a residential area b. Toxic chemicals dumped into a river that is used as a water supply c. A neighbor who refuses to mow his yard or paint his house d. A lower crime rate in a neighborhood patrolled by a security company 4. Which of the following is an example of a negative externality? a. A Boy Scout troop cleaning up a neighborhood park b. Toxic chemicals dumped into a river that is used as a water supply c. A neighbor who plants a beautiful garden in his front yard d. A wealthy citizen donating land for use as a public park 5. When there is a negative externality, the unregulated market results in a level of output that is ______ than the socially efficient level because the private costs are ______ than the social costs. a. higher; greater b. higher; less c. lower; greater d. lower; less 6. When there is a positive externality, the unregulated market results in a level of output that is ______ than the socially efficient level because the private benefits are ______ than the social benefits. a. higher; greater b. higher; less c. lower; greater d. lower; less 177 Chapter 8 Assignments

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The voltage ($V_R$) across the resistor is $10\angle60^\circ$ V. Find the voltage ($V_c$) across the capacitor: $Z_c = -j8.3 \Omega$ $Z_R = 121 \Omega$ $\circ$ a. 1.19 - j0.69 V $\circ$ b. 0.59 - j0.34 V $\circ$ c. 0.12 - j0.59 V $\circ$ d. 0.12 + j0.55 V $\circ$ e. 126.25 + j72.89 V

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Coral Gables Inc. produces multiple flavors of cupcakes. The board has decided that it wants to determine the company's working capital efficiency so that it can compare it to other firms in the food industry. The CFO has calculated its days' sales in inventory (DSI) is 70 days, its days' sales outstanding (DSO) is 40 days, however it takes 50 days to pay cash to its suppliers (DPO). What is Coral Gables' cash conversion cycle?

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peter are planning to buy a car for $50,000. The bank offers him a 5-year loan with equal annual payments and an interest rate of 5% per year. The bank requires that him pays 20% of the purchase price as a down payment. Calculate the annual loan payment?

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ivan r.