Marcus was giving dollar bills from his grandfather each day for one week. on the first day he received one dollar, on the second day he received two dollars, on the third day he received four dollars, and on the fourth day he received eight dollars. if this pattern continues, how much money will marcus have by the end of the week

Marcus will make $127 by the end of the month.

Step-by-step explanation:

On the first day he received one dollar, on the second day he received two dollars, on the third day he received four dollars, and on the fourth day he received eight dollars. This means that the amount of money he receives is increasing in a geometric progression.

The sum of n terms of a sequence is expressed as

Sn = a(r^n - 1)/(r - 1)

Where

a is the first term of the sequence

r is the common ratio,

n is the number of terms.

From the information given,

n = 7( a week is 7 days)

a = 1 (amount for the first day)

r = 2

S7 = 1(2^7 - 1)/(2-1)

S7 = 128 - 1 = 127

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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.