Based on the sequence, the answer for question (a) is 3.5 which is the value of the common difference. The recursive rule for the sequence is x = n + 3.5.
2.5 + 3.5 = 6
6 + 3.5 = 9.5
9.5 + 3.5 = 13
13 + 3.5 = 16.5
16.5 + 3.5 = 20
Hope this helps.
Triangle QPR is equal to triangle ABC
A. 18 if it’s division because 16, 8, and 24 can go into 48 but not 18
Answer:
<u><em>You will need to purchase 16 more gallons that cost $2.29 each for your final amount to be $36.64</em></u>
Step-by-step explanation:
You need to find how many miles you can get per gallon to use 160 miles on 5 gallons.
= . Meaning your unit rate for this would be 32 miles for 1 gallon
You then need to find out how many gallons you will need if you're going to 640 miles and get 32 miles per gallon.
= 20
Meaning you will need 20 gallons.
Now since you already know how many gallon you have which is 4. Then you know how much you need, 20 - 4 = <u>16</u>
Then since they will be $2.29 each, multiply 2.29 by 16 to get <u>$36.64</u>
Meaning you will need to <u><em>16 gallons costing 2.29 each</em></u> and you will spend <u><em>$36.64 dollars on the trip</em></u>
This question can be approached using the present value of annuity formula. The present value of annuity is given by
, where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.
Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.
Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)
Thus,
</span>
<span>
Therefore, his monthly payment is $119.44</span>