A quantity with an initial value of 160 grows continuously at a rate of 0.65% per hour. What is the value of the quantity after 402 minutes, to the nearest hundredth?

167.10

Step-by-step explanation:

Here, we write out the general form for an exponential equation;

y = I (1 + r)^n

where y is the current value which we want to calculate

I is the initial value which is 160

r is the growth rate = 0.65% = 0.65/100 = 0.0065

402 minutes to hours will be 402/60 = 6.7 hours which is n

Substituting these values, we have

y = 160( 1 + 0.0065)^6.7

y = 160(1.0065)^6.7

y = 167.10

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.