Answer:
d = 56x + 412
Step-by-step explanation:
To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.
y = mx+b where m is the speed or rate of change and b is the starting point.
The starting point on Tuesday is 412 miles. This is b.
The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled. This is the slope or m.
So the equation is d = 56h + 412.
Answer:
RH = 8.2 units
Step-by-step explanation:
total circumference = 2rπ = 2(10)(3.14) = 62.8 units
RH = (47°/360°)(62.8) = 8.2 units
The next term is double the previous term, so that the 
-th term is given recursively by
This rule tells us that
and so on, with the explicit rule
for 
.
If 512 is the 
-th term in the sequence, then
Answer: there are three of the holidays
Step-by-step explanation:
The prime numbers through 31 include 2,3,5,7,11,13,17,19,23,29,31,and 37 so therefore three of the holidays (Martin Luther, Easter, and Thanksgiving) fall on days that are prime numbers
Answer:
Step-by-step explanation:
<u>Given</u>
- Monthly payment P = $300
- Time t = 3 years = 36 months
- Number of payments n = 36
- Interest rate r = 12% PA = 1% per month = 0.01 times
<u>Use loan payment formula:</u>
- P = r(PV) / (1 - (1 + r)⁻ⁿ),
- where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments
<u>Substitute values and solve for PV:</u>
- 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
- PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
- PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
