Answer:
£6655
Step-by-step explanation:
Given data
Principal= £5000
Rate= 10%
Time = 3 years
FInal Amount A=???
The expression for the compound interest is given as
A=P(1+r)^t
substitute
A=5000(1+0.1)^3
A=5000(1.1)^3
A=5000*1.331
A= £6655
Hence the final Amount is £6655
The estimated answer would be 480.81
Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract 
both sides
Divide by 
both sides
the slope of the given line is
Step 2
Find the equation of the line that passes through the point 
and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
we have
substitute in the equation
or 
therefore
<u>the answer is</u>
or
<span>(6.5, –15.25) Is the answer.</span>
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
