Hello!
First you find the common difference in the sequence
6 - 12 = -6
0 - 6 = -6
The common difference is -6
We can now make the equation
-6(n - 1) + 12
we got the 12 because it is the first number in the sequence
Simplify
-6n + 6 + 12
Simplify
18 - 6n
The answer is B) an = 18 - 6n
Hope this helps!
Answer:
Option b
Step-by-step explanation:
We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years
Then you must use the annual compound interest formula, which is represented by a growing exponential function:
Where:
h is the interest rate of 0.675
y is the money in the savings account as a function of time
Then substitute the values in the formula and we have:
Answer: Yes he will be
Step-by-step explanation:
To find out if Ted can afford the car, find the future value of $4,300 in three years.
First convert the number of years and rates to quarterly values as this is the compounding period:
Term = 3 * 4 quarters = 12 quarters
Rate = 5.5% / 4 = 1.375% per quarter
Future value = Amount * ( 1 + rate) ^ term
= 4,300 * ( 1 + 1.375%)¹²
= $5,065.69
<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>
1 gallon = 16.8 miles
265 gallons = 16.8 x 265 = 4452 miles
Answer: 4452 miles
