Hi there!
First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.
WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52
Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.
WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years
To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.
WORK:
80 = 2n + 40
40 = 2n
n = 20 years
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
It will take her 5 hours to get back home with a constant speed of 2mph
To solve this problem, we can set two equations.
Let x be the cost of coffee and y be the cost of latte.
Two coffees and one latte: 2x + y = 10.50
y=10.50 - 2x ...(1)
Three coffees and two lattes: 3x + 2y = 17.00...(2)
Put (1) into (2), we have:
3x + 2(10.50-2x) = 17.00
3x + 2(10.50) - 2(2x) = 17.00
3x + 21 - 4x = 17
Put the unknown to one side:
3x -4x = 17 - 21
-x = -4
When there are negative numbers on both sides, we can take the negative signs away:
x= 4
Therefore, cost of one coffee is A. $4.00.
Hope ot helps!