That's definitely an example of exponential decay, since the base (1/2) (also called the "common ratio") is greater than 0 but less than 1.
Answer:
8/27
Step-by-step explanation:
<h2><u>Fractions</u></h2>
a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit
what fraction of the jar is full when it only contains one cup of fruit?
by using these statements , we can solve this through <u>cross multiplication</u>:
fraction that the jar is full : number of cups of fruit
: 
x : 1

convert
from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
.
x = 
<u>x = 8/27</u>
<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>
Answer:




Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (b):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (c):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (d):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

The answer is 35.
Reasons : 2*3 = 6. 6•6= 36-1= 35.
Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.
Step-by-step explanation:
- Step 1: Find equation for Thursday's sales.
Given b = price of a loaf of bread and m = price of one liter of milk
Total sales = €10.90
Equation ⇒ 4b + 5m = €10.90
- Step 2: Find the values of b and m.
3b + 2m = 6.25 ----- (1)
4b + 5m = 10.90 ---- (2)
Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.
15b + 10m = 31.25
8b + 10m = 21.8
Subtract eq(2) from eq(1)
⇒ 7b = 9.45
⇒ b = 9.45/7 = €1.35
Substitute for b and find m using eq(1).
⇒ 3 × 1.35 + 2m = 6.25
⇒ 4.05 + 2m = 6.25
⇒ 2m = 2.2
∴∴ m = 2.2/2 = €1.1