1) find the volume and surface area of a cylinder. Use the following information
ID: 2900177 • Letter: 1
Question
1) find the volume and surface area of a cylinder. Use the following information: Radius: 3ft, Height: 12ft.
2) find the area of a right triangle with a hypotenuse length of 7 and one leg length of 2.
3) is -11/8 a solution to the equation 2-2x=9x+10? Explain your answer.
4)use the formula for simple interest, I=Prt, to find the missing quantity I=$828; P=$6900; t=2 years
5) ".............. for future value A=p(1+rt) to find the missing quantity A=$5369.00; P=$4550; r=3%
6) you are given the principal, the annual interest rate, and the compounding period. Determine the value of the account at the end of the specified time period. $6000, 4%, quarterly, 3 years
7) Emily is buying a new table for $1500. The dealer is charging her an annual interest rate of 10.8%. If she pays off the loan in 36 months, what are her monthly payments? If she makes a down payment of )$200, how much will her monthly payment be?
8) list all equally likely outcomes in the sample space for the indicated experiment. A coin is tossed, and then a die is rolled.
9) you select one card from a standard deck of cards. What is the probability that the card is not a Jack?
10) five cards are shown in the figure below. What are the odds of drawing a 2 from this set of cards? 1| 2| 3| 4|5|
11) the odds against Carl beating his friend in a round of a golf are 5:4. Find the probability that Carl will beat his friend.
12) well roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the sum is not 7, I pay you the number of dollars indicated by the sum of the dice. What is your expected value for the game?
Explanation / Answer
Solution:
1. R = 3ft and H =12 ft
Volume of cylinder = pi R2 H
= 3.14 x 32x12
= 339.12 ft3
Surface area of cylinder = pi R H
= 3.14 x 3 x 12
= 113.04 ft2
2.
Right triangle
Base 2 + Height 2 = Hypotenuse2
22 + Height2 = 72
Height2 = 49-4
Height = root(45)
Area of right triangle = 1/2 ( Base ) x Height
= 1/2 x 2 x root(45)
= root 45
3. Solve the given equation
2-2x=9x+10
-2x -9x = 10 -2
-11 x = 8
x = -8/11
Answer No. because as we can see above -11/8 is not the solution
4.
Given
I=Prt
Plug the values of given variables in the question
828 = 6900 x r x 2
r = 0.06
Rate = r = 6 %
answer
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