Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. how much money should nate invest in this account to meet this goal? a. $1,279.26 b. $4,369.26 c. $4,373.77 d. $7,463.77

Nate should invest $ 7463.77

Step-by-step explanation:

We have following formula to find the simple interest,

or we can also write this as

   --------(1)

where P = amount invested

          t= time in years

          r = rate of interest

         SI= simple interest

It is given that

SI= $ 3,090  

t= 15 years

r= 2.76% = 0.0276

Now we plug the values in the formula  (1)

so we have

Hence Nate should invest $ 7463.77

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.