Wanda encounters Hector after 4.5 hours. Wanda will not be able to reach Hector before the end of the race because at his current pace (16m/h), he would finish when both reach mile 72, while the race is only 42 miles.
To catch up with Hector at the finish line, Wanda must raise her speed to 21m/h. I have included the answers.
Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.
Step-by-step explanation:
To address this inquiry, we use an exponential decay formula:
A = P (1 - r) t
Where:
P = initial price
r = the reduction rate (expressed as a decimal)
t = time in years
A = price after t years
Substituting the known values:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 = -r
0.05 = r
Converted to percentage:
0.05 x 100 = 5%
Please reach out if further clarification is needed or if something was unclear.
Greetings from MrBillDoesMath!
The answer is:
669/221
Discussion:
The ratio of 669 to 221 equals 669/221. Observing the factors, 669 is 3 * 223 and 221 is 13 * 17. As all these factors are distinct primes, nothing cancels in their ratio. Thus, 669/221 remains in its simplest form.
The original price stands at $450.
Step-by-step explanation:
Step 1:
Given information, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Formulate the equation for determining the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Plug in the known values into the formula
315 = OP - D
D = 
D = 0.3 OP
Step 4:
Insert the value of D back into the initial equation
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
A resulting Original Price of OP = 315/0.7 = $450
Answer:
The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150
Step-by-step explanation:
Calculated annually.
The typical male earns $90,761 each year.
The typical female earns $50,756 per annum.
Therefore, the annual difference is:
90,761 - 50,756 = 40,005
Across 30 years:
30*40,005 = 1,200,150
The earnings gap over a 30-year career, when comparing men and women, is $1,200,150
