I’ll assume the question is asking us to factor the above polynomial:
5x^2 + 10x - 45
Factor out a 5:
5(x^2 + 2x - 9)
This appears to be an irreducible quadratic polynomial, so let’s leave it alone.
5x^2 + 10x - 45 = 5(x^2 + 2x - 9)
Given:
Desmond deposits $ 50 monthly.
Yearly he deposits = $50×12 = $ 600
Rate of interest compounded monthly = 4.7%
To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.
Formula
where,
A be the final amount
P be the principal
r be the rate of interest
t be the time and
n be the number of times the interest is compounded.
Now,
Taking,
P = 600, r = 4.7, n = 12, t = 10 we get,
or, 
or, 
Now,
At starting he has $ 600
At the end of 10 years he will be having $ 959.1
So,
The amount of change in his account = $ (959.1-600) = $ 359.1
Therefore the rate of change = 
= 59.85%
Hence,
a) His account will contain $ 959.1 after 10 years.
b) The rate of change in his account is 59.85% after 10 years.
Answer:
Option B.
Step-by-step explanation:
It is given that
A = {The Rationals}
B = {The Irrationals}
We need to find the set A∪B.
If we have two sets X and Y then union of these sets (X∪Y) contains all the elements of set X, of set Y or both.
It is given that A is the set of rations and B is the set of irrational, so the union A∪B is the combined set of all rational or irrational numbers.
A∪B = {The Rationals} + {The Irrationals}
A∪B = {The Reals}
Therefore, the correct option is B.
Answer:
see explanation
Step-by-step explanation:
g(x) - f(x)
x - 3 - (3x + 2) ← distribute parenthesis by - 1
= x - 3 - 3x - 2 ← collect like terms
= - 2x - 5
There are no restrictions on the domain of - 2x - 5, thus
domain is all real numbers
Two solutions:
1. x =(100-√2160)/2=50-6√ 15 = 26.762
2. x =(100+√2160)/2=50+6√ 15 = 73.238
