Answer:
$49,787.16
Step-by-step explanation:
The expression that describes continuous compounding is:
The principal (p) that yields a future value of $1,000,000 at a rate of 7.5% for 40 years is given by:
The principal value that must be invested is $49,787.16.
Answer:
21 students pass
Step-by-step explanation:
Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction (which is 75% represented as a fraction).
The fraction can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with .
Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.
The denominators cancel out leaving you with a simple equation to simplify.
Finally, divide both sides by four in order to isolate the variable.
X = 21.
Answer:
You will have to divide $11.20 by 32 ounces to find how much it is per ounce:
Each ounce of strawberries costs $0.35
Step-by-step explanation:
Answer:
$1054
Step-by-step explanation:
simple interest = 4% of original amount each time
850/100 = 8.5 = 1%
8.5 x 4 = 34 = 4%
34 x 6 = 204
$850 + $204 = $1054
Answer:
x = 5/2, y = -1
x*y = 5/2*-1 = -5/2
Step-by-step explanation:
First we solve the system
2x-5y = 10
x = 5 + 5y/2
4x + 3y = 7
4(5 + 5y/2) + 3y = 7
20 +10y + 3y = 7
-13 = 13y
y = -1
Now go back to the other equation
2x - 5y = 10
2x - 5(-1) = 10
2x + 5 = 10
2x = 5
x = 5/2
Now we multiply x and y together