Answer:
The future value is: RS 132867.075
Step-by-step explanation:
Given
--- present value
--- annual rate
--- number of times compounded (3 years/ 6 months)
Required
The future value
This is calculated as:
<em>Hence, the future value is: RS 132867.075</em>
Answer:
x< -0.24
Step-by-step explanation:
So this is going to sound stupid, but I got x< -0.24 which is just not an option, but this is how I got it...
-25x+14>20
subtract 14 from each side
-25x>6
divide each side by -25
x< -0.24
I switch the way the sign was facing bc I divided by a negative.
Now I know that this must be wrong, but it makes the most sense because I am pretty sure I did all of the math right. Sorry this probably didnt help , but I did a lot of work to try and get the right answer, so Im not putting that work to waste
On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
Answer:
x = 
Step-by-step explanation:
Given
- 
= 
← factor denominator
- = 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x =
However, x ≠ - 1 for reason given above, then
solution is x =
