In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
= 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
= 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
= 120 miles/ hour
Answer:
Option A $29.46 is correct.
Step-by-step explanation:
Credit card's billing cycle = 31 days
To calculate the average daily balance we must add Carla's balance from each day in the billing cycle and divide by the number of days of the month.
( Total balance × days ) / number of days of the month
(2560 × 15) ÷31 = $1238.71
Her credit card's APR is 28% Therefore Carla charged
(1238.71 × 0.28 × 31) ÷ 365
10,752.0028 ÷ 365 = 29.4575 Rounded to $29.46
Carla charged in interest for the billing cycle is $29.46.
Answer:
Step-by-step explanation:
A recursive geometric formula has the pattern:
where r is the common ratio. Before we write the formula, we need to find the value for r. This r value has to be the same between each consecutive number in the series. Because it's geometric, r is multiplied in (whereas it's added in if the sequence is arithmetic). To get from 1/2 to 3/4 we find the r value in this way:
where x/2 is the same as 1/2 x. Cross multiply to get 4x = 6 and x = 3/2. That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get to the next term in line. 3/4 times 32 is 9/8. Therefore, r = 3/2 and the formula will be:
Answer:
$77,380
Step-by-step explanation:
If she gets a 6% raise next year she will make 106% of what she makes this year.
106% is 1.06 as a decimal. Multiply her salary by 1.06 to find out how much she will make next year...
$73,000(1.06) = $77,380
