What is first coordinite
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Answer:
Step-by-step explanation:
Here's the gameplan for this. First of all we need a general formula, then we will define the variables for each.
The general formula for all of these is the same:
where A(t) is the amount after the compounding, P is the initial investment, n is the number of compoundings per year, r is the interest rate in decimal form, and t is time in years.
Then after we find the amount after the compounding, we will subtract the initial amount from that, because the amount at the end of the compounding is greater than the initial amount. It's greater because it represents the initial amount PLUS the interest earned. The difference between the initial amount and the amount at the end is the interest earned.
For A:
A(t) = ?
P = 450
n = 1
r = .06
t = 7
Simplifying gives us
Raise 1.06 to the 7th power and then multiply in the 450 to get that
A(t) = 676.63 and
I = 676.63 - 450
I = 226.63
For B:
A(t) = ?
P = 450
n = 4 (there are 4 quarters in a year)
r = .06
t = 7
Simplifying inside the parenthesis and multiplying the exponents together gives us
Raising 1.015 to the 28th power and then multiplying in the 450 gives us that
A(t) = 682.45
I = 682.45 - 450
I = 232.75
For C:
A(t) = ?
P = 450
n = 12 (there are 12 months in a year)
r = .06
t = 7
Simplifying the parenthesis and the exponents:
Adding inside the parenthesis and raising to the 84th power and multiplying in 450 gives you that
A(t) = 684.17
I = 684.17 - 450
I = 234.17
The required equations are use to solve this problem;
There are x = 49 hot dogs, and y = 77 sodas were sold.
Given that,
Each hot dog costs $2.25 and each soda costs $1.50.
At the end of the night, you made a total of $225.75.
You sold a total of 126 hot dogs and sodas combined.
We have to determine,
What equations did you use to solve this.
And How many hot dogs were sold and how many sodas were sold.
According to the question,
Let, The x represent the number of hot dogs,
And y represent the number of sodas.
Then,
You sold a total of 126 hot dogs and sodas combined.
Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.
And Each hot dog costs $2.25 and each soda costs $1.50.
At the end of the night, you made a total of $225.75.
Then,
Cost of each hot dogs + cost of each soda = total earning end of the night
On solving both the equation,
Substitute the value of x in the equation 2,
Then,
Substitute the value of y in the equation 1,
Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.
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