Answer:
9001
Or any whole number less than 9500
Step-by-step explanation:
Let us consider the ration of two numbers be x
The two numbers are 5x and 3x
Since two numbers differ by 18, we can write the equation
5x – 3x = 18
2x = 18
x= 9
Therefore the two numbers are
5x = 5 x 9 = 45
and
3x = 3 x 9 = 27
∴ The two numbers are 45 and 27.
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
<h2>Answer:</h2>
<h2>Explanations:</h2>
Given the function
Get g(8) by substituting x = 8 into the function;
Get g(-5) by substituting x = -5 into the function
Take the difference in the result to have;
Hence the difference between the given functions is 39
Answer:
3314.68
Step-by-step explanation:
3000 dollars is invested in a 5 year CD that pays 2% interest annually.
If the interest is compounded quarterly then the quarterly interest rate is % and 5 years is equivalent to (5 × 4) = 20 quarters.
Therefore, the sum will become after 5 years
dollars.
Hence, the CD will be worth 3314.68 at the end of the 5-year term. (Answer)
Since we know the formula of compound interest as
Where A is the final amount that the sum becomes.
P is the principal amount that was invested initially.
r = Annual rate of compound interest.
And n = number of times in a year the principal is compounded.