Answer:
D
Step-by-step explanation:
The definition a triangle is a shape with three angles and three sides. An example of something in the shape of a triangle is a piece of pizza.
Answer:
r(n) = 1000·(2/5)^n
Step-by-step explanation:
Since the tortoise travels 3/5 the remaining distance, the remaining distance at the end of the day is 2/5 of what it was at the beginning of the day. So, the function can be modeled by an exponential with a "growth" factor of 2/5:
r(n) = 1000·(2/5)^n
where r(n) is the number of remaining feet after n days of travel.
Answer:
$1545.65.
Step-by-step explanation:
We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.
To solve our given problem we will use compound interest formula.
, where,
A = Final amount after t years,
P = Principal amount,
r = Interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given interest rate in decimal form. 
Upon substituting our given values in compound interest formula we will get,
≈ $
Therefore, Victor will owe an amount of $1545.65 after one year.
Answer:
V = x³ - 3x² + 3x - 1
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side )
Here s = x - 1 , thus
V = (x - 1)³
= (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL
= (x - 1)(x² - 2x + 1) ← distribute
= x³ - 2x² + x - x² + 2x - 1 ← collect like terms
= x³ - 3x² + 3x - 1
