We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Answer:
The original amount deposit is $1641627.68.
Step-by-step explanation:
Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.
To find : How much was your original deposit?
Solution :
Applying interest formula,

Where, A is the amount i.e. A=$3783193
P is the principal value i.e. the original deposit
r is the interest rate r=11%=0.11
t is the time t=8 years.
Substitute the value in the formula,





Therefore, The original amount deposit is $1641627.68.
Answer:
divide both sides of the equation by 2/3