Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
 , where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A=  $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get

Taking natural log on both the sides , we get

Hence, the annual interest rate = 13.29%
 
        
             
        
        
        
Answer:
y=-3
Step-by-step explanation:
31=4-9y
9y=4-31
9y=-27
y=-27/9
y=-3
 
        
             
        
        
        
The answer is
B. -2 and 3
Step-by-step explanation :
Given the expression 
x²- 5x + 6 = 0
Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5
These numbers are 3 and 2
Substituting 2x +3x for 5x
x²- (2x+3x)+ 6 = 0
x²-2x-3x+6=0
(x²-2x)-(3x+6)=0
Factoring we have 
x(x-2)-3(x-2)=0
x-3=0, x-2=0 
x=3, x= 2
 
        
             
        
        
        
W + 3 3/8 = 1 5/6;
W = 1 5/6 - 3 3/8;
W = 11/6 - 27/8;
W = 11/(2*3) - 27/(2*4);
W = (11*4 - 27*3)/(2*3*4);
W = (44 - 81)/24;
W = -37/24 = -1 13/24;
 
        
             
        
        
        
Answer:
Step-by-step explanation: