Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
I think you meant to type
4(n)-5=7.
4n = 7 + 5
4n = 12
n = 12/4
n = 3
Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
The formula required is:
where A is the amount after t years of the principal P invested at an annual interest rate r (expressed as a decimal fraction) compounded n times per year.
Plugging in the given values, we get:
The final amount is $22,096.17
Troy has a basis of $39 per share
total value of shares is $3900
Step-by-step explanation:
On July 1, the date of the gift, the stock was selling for $39 per share.
Troy's basis in the stock = current value of shares
No need to consider the base rate which is in 15 years ago
The current rate of 100 shares = $39 × 100 = $3900
Troy has a basis of $39 per share
total value of shares is $3900
