The opposite of -3 is positive 3. This is because the opposite of a negative is a positive.
12 inches equal one foot.
12*12=144
Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
On further simplification, we get
Therefore, the present value of the car is £9025.
<h3>Solution:</h3>
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
<u>sin A = 3/5</u>
cos A = adjacent side / hypotenuse
cos A = 16/20
<u>cos A = 4/5</u>
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
<u>sin 2A = 24/25</u>
Answer:
One step equations
3 + x = 5 ___x = 2
Y + 14 = 20____x = 6
Equations with Fractions
4/5q = 32___q = 40
3/4x = 6___x = 8
Equation with decimals
3.2x – 2.7 = 1.2x___x = 1.35
Equation with distributive Property
7x + 3 (x + 1) = 10x + 3
Infinitely Many solutions
Real World Problem
Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?
Hope This Helps!