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A zero-coupon bond is a security that pays no interest, and is therefore bought at a substantial discount from its face value. If the interest rate is 12% with annual compounding how much would you pay today for a zero-coupon bond with a face value of $1,600 that matures in 11 years? Please round your answer to the nearest hundredth.

If a group of distinct objects can be arranged in 120 different ways, how many objects are there?

Find the partial derivatives of the following functions: 4x^2 y^2+5x^2+2y+9 z=(5x^3+y)/(2x+3y) z=(3xy-x^2 )^8

min\max F(x,y)=3xy-4x^2-y^2+150x+50 Constraints: 1)x>=y^2 2)x>=3^2 What is the function for finding suspicious points?

DATE TRANSACTIONS January 2 Purchased supplies for $14,000; issued Check 1015. January 2 Purchased a one-year insurance policy for $16,800. January 7 Sold services for $30,000 in cash and $20,000 on credit during the first week of January. January 12 Collected a total of $8,000 on account from credit customers during the first week of January. January 12 Issued Check 1017 for $7,200 to pay for special promotional advertising to new businesses on the local radio station during the month. January 13 Collected a total of $9,000 on account from credit customers during the second week of January. January 14 Returned supplies that were damaged for a cash refund of $1,500. January 15 Sold services for $41,400 in cash and $4,600 on credit during the second week of January. January 20 Purchased supplies for $10,000 from White’s, Incorporated; received Invoice 2384 payable in 30 days. January 20 Sold services for $25,000 in cash and $7,000 on credit during the third week of January. January 20 Collected a total of $11,200 on account from credit customers during the third week of January. January 21 Issued Check 1018 for $14,130 to pay for maintenance work on the office equipment. January 22 Issued Check 1019 for $7,200 to pay for special promotional advertising to new businesses in the local newspaper. January 23 Received the monthly telephone bill for $2,050 and paid it with Check 1020. January 26 Collected a total of $3,200 on account from credit customers during the fourth week of January. January 27 Issued Check 1021 for $6,000 to Office Plus as payment on account for Invoice 2223. January 28 Sent Check 1022 for $5,350 in payment of the monthly bill for utilities. January 29 Sold services for $38,000 in cash and $5,500 on credit during the fourth week of January. January 31 Issued Checks 1023–1027 for $65,600 to pay the monthly salaries of the regular employees and three part-time workers. January 31 Issued Check 1028 for $24,000 for personal use. January 31 Issued Check 1029 for $8,300 to pay for maintenance services for the month. January 31 Purchased additional equipment for $30,000 from Contemporary Equipment Company; issued Check 1030 for $20,000 and bought the rest on credit. The equipment has a five-year life and no salvage value. January 31 Sold services for $15,200 in cash and $3,240 on credit on January 31. ADJUSTMENTS January 31 Compute and record the adjustment for supplies used during the month. An inventory taken on January 31 showed supplies of $9,400 on hand. January 31 Compute and record the adjustment for expired insurance for the month. January 31 Record the adjustment for one month of expired rent of $4,000. January 31 Record the adjustment for depreciation of $183 on the old equipment for the month. The first adjustment for depreciation for the new equipment will be recorded in February General Ledger tab: Enter the account balances for January 1, 20X2 from the postclosing trial balance prepared on December 31, 20X1, which appears in Figure 6.3. General Journal tab: Analyze each of the transactions listed for January and record it in the general journal. General Ledger tab: Post the transactions to the general ledger accounts. Worksheet tab: Prepare the Trial Balance section of the worksheet. Worksheet tab: Prepare the Adjustments section of the worksheet using the adjusting transactions. Worksheet tab: Complete the worksheet. Income Statement tab: Prepare an income statement for the month. Statement of Owner's Equity tab: Prepare a statement of owner’s equity. Balance Sheet tab: Prepare a balance sheet. Adjusting and Closing tab: Record the adjusting entries and the closing entries in the general journal. General Ledger tab: Post the adjusting entries and the closing entries to the general ledger accounts. Post Closing tab: Prepare a postclosing trial balance.

Determine the least degree monic polynomial p of x with coefficients in Q such that (square root of 2) is root of p of x and 2+i is multiple root of p of x

A person wants to save for a year in an investment house that guarantees a 15.8% return compounded monthly. His salary is Q9000 per month and at the beginning of each month he deposits 15% of this. How much will you have at the end of a year?

find the length of an arc with a central angle measure of 27 degrees

a tractor's fuel consumption depends, among other things, on the tractor's speed. under certain conditions, a tractor's fuel consumption can be described by f(x) = 0.0010x^2 - 0.040x + 0.92 x > 0 where f(x) is fuel consumption in liters/km and x is the tractor's speed in km/h. Determine at which speed the fuel consumption is lowest according to the model.

Calculate the limit of the following expression by elementary transformations: lim((sin(sin(x))/x)) if x->0