Answer:
The sequence is arithmetic with a common difference of -10
Step-by-step explanation:
From the question, we want to determine if the sequence is arithmetic or geometric
From the question
f(1) = 5
f(2) = -5
f(3) = -15
Mathematically for the common difference;
f(3) - f(2) = f(2) - f(1)
Since;
-15-(-5) = -5-5
-10 = -10
Since the common difference here is same , then the sequence is arithmetic with a common difference of -10
So n=number of nickles
d=number of dimes
n is 12 more than d so
n=12+d
but they have same amount of money so
n times 5=worth of nickles
d times 10=worth of dimes
5n=10d
divide both sides by 5
n=2d
subsitute
n=2d
n=12+d
2d=n=12+d
2d=12+d
subtract d from both sides
d=12
subsitute
n=12+d
n=12+12
n=24
24 nickles
12 dimes
(new -original)/original * 100
(36-20)/20 * 100
16/20 * 100
.8*100
80
80% increase
There is 9 7-fluid ounce servings of juice
