As of October, 2016 the world`s largest pumpkin weighed 1190 kilograms. In order to grow a record-setting pumpkin, the fruits mass must increase by an average of
Give your answer with two decimal places, and ensure that you include unots.
Note: Equations for the volume and surface area of a sphere are on D2L in several places.
What is the cardinality of the set
Maurice and Lester are twins who have just graduated from college. They have both been offered jobs where their take-home pay would be $2500 per month. Their parents have given Maurice and Lester two options for a graduation gift. Option 1: If they choose to pursue a graduate degree, their parents will give each of them a gift of $35,000. However, they must pay for their tuition and living expenses out of the gift. Option 2: If they choose to go directly into the workforce, their parents will give each of them a gift of $5000. Maurice decides to go to graduate school for 2 years. He locks in a tuition rate by paying $11,500 for the 2 years in advance, and he figures that his monthly expenses will be $1000. Lester decides to go straight into the workforce. Lester finds that after paying his rent, utilities, and other living expenses, he will be able to save $200 per month. Their parents deposit the appropriate amount of money in a money market account for each twin. The money market accounts are currently paying a nominal interest rate of 3 percent, compounded monthly. At the end of 2 years, Lester receives a raise and decides to save $250 each month. Maurice receives a $5000 graduation gift from his parents and deposits this amount into his money market account. Maurice goes to work and saves $500 each month. Complete the equations below for the money market account balance for each twin. Let the initial balance u0 be the account balance at the end of 2 years. Write an expression for this month's account balance un in terms of un−1. Recall that the interest rate for the account is 3 percent, compounded monthly. Maurice:
Use the table to determine the total of the servicecharge. Service charges for Gary Baxter's account were the basic charge, 8 bills paid, 1 overdraft, $450 cash advance, and 3 regional ATM transactions.
This issue uses discrete probability and combinatorics in mathematics. Please explain each step in detail and do not copy solutions from Chegg.
Show that there are two numbers whose difference is a multiple of 37 in every set of 100 integers using the pigeonhole principle. Identify the function (including its domain and target) outlined in either of our class resources while explaining how the principle is being applied.
Example: Partitions of Sets
a. Let
b. Let Z be the set of all integers and let:
Is
Use the table to determine the total of the service charge. Sally Hudson's service charges: basic charge, 9 bills paid, lost card replacement, and 6 ATM transactions, 3 national and 3 out of network.
The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence.
The test states that if
then
then
Show that
For which x > 0 does the generalized ratio test imply convergence of