Answer:
Each cupcake cost $2.50 and each brownie cost $2.00
Step-by-step explanation:
Let x represent the price of each cupcake and let y represent the price of each brownie.
Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:
x + y = 4.50 (1)
Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:
3x + y = 9.50 (2)
To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:
2x = 5
x = $2.50
Put x = $2.50 in equation (1):
2.50 + y = 4.50
y = $2.00
Therefore each cupcake cost $2.50 and each brownie cost $2.00
Answer:
12,000
Step-by-step explanation:
X=4 Y=3 I hope this helped I don’t know if it is fully right
Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
