Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Mariella typed more words per minute.
Answer:
1.33
Step-by-step explanation:
480 divided by 360 gets you 1.33
Step-by-step explanation:
making x subject in eq 1
x= (-1-9y)/-14
substituting the value of x in eq 2
17(-1-9y/-14)=7+9y
(-17-153y)/-14=7+9y
-17-153y=-98-126y
-17+98=153y-126y
81=27y
y=3
substituting this value of y in eq 1
-14x=-1-9(3)
-14x=-28
x=2
(x,y) = (2,3)
Answer:
Step-by-step explanation:
lope is (13000-15000)/(5-3)=-2000/2=-1000
point slope formula: y-y1=m(x-x1), m slope and (x1,y1) a point
y-15000=-1000(x-3)
y-15000=-1000x+3000
y=-1000x+18000
when x=$3.50
y=-3500+18000=14,500 noodles predicted to be sold.
