This is a geometric sequence with an initial term of 27 and a common ratio of 1/3
This just means that each term is 1/3 the term preceding it.
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:
a(n)=27(1/3)^(n-1)
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
Answer:
let me take a guess and if its wrong sorry
Step-by-step explanation:
12
It's the factor theorem.
P(-4)
Equal to 0
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
