Answer:
hole at x=-3
Step-by-step explanation:
The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)
The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.
So anyways we have (x+3)/(x^2-9)
= (x+3)/((x-3)(x+3))
Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.
Answer:
13.8 square feet
Step-by-step explanation:
To find the area of a triangle you use the formula a = 1/2 bh
a = 1/2 (6.9) (4) = 13.8
(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8
Answer:
Ordinary annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Ordinary annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.
All you have to do is do the distributive property. So, for the first one you would do 5 times x which equals 5x and then you would do 5 times 4 which equals twenty. All you are left with is the addition sign. Your full equation now would be 5x+20
