By buying 2 tickets you doubled the probability of you winning something. So, the probability that one of your tickets will win something is 0.08. Hope this helps :)
Answer: 5 cos x
<u>Step-by-step explanation:</u>
y = sin x is y = cos x shifted to the right π/2 units.
y = 5 sin (x + π/2) is a shift to the left π/2 units (which results in cos x) and . an amplitude of 5.
--> y = 5 cos x
<u>Ans(a):</u>
Given that total distance = 1158 km
Estimated time of drive = 12
now question says to distance that can be driven in 1 hour.
Indirectly it is asking for his speed.
So we can use formula of speed
km per hour.
Hence he will drive approx 96.5 km in 1 hour.
<u>Ans(b):</u>
Actual driven distance = 484 km
Actual time taken = 5 hours
Then actual speed 
km per hour
Comparing speeds in both parts, we see that actual speed 96.8 km/hour is more than the expected speed 96.5 km/hour.
Hence he will reach at his destination on schedule or before the expected time.
Answer:
Step-by-step explanation:
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month
Just to help you, that formula is saying that 1 mile is equivalent to 5280 feet, i.e. the number of feet is equal to 5280 * number of miles.
So, you know the number of feet = 21,120 and have to convert that into the equivalent number of miles:
f = 5280m => m = f / 5280
m = 21,120 / 5280 = 4 miles
Answer: 4 miles
