Answer:
Step-by-step explanation:
1. (sq root of) a^2 if a>0 => √(a^2) = ±a
2. (sq root of) 36x^2 if a>0 => ±6x
Answer:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
Step-by-step explanation:
The coordinates of the given line from the right to the left are:
(7,1) and (-2,1)
So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)
So, the third vertex must be on the line x=7 or x=-2
So, the coordinates of the third vertex is:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)
Answer:
14
Step-by-step explanation:
the sum of the terms in the angle is 6x+6. Since the angles ate complementary their sum is 90 so you set the aforementioned sum equal to 90. You then solve for x and get 14.
