Answer:
0.6044 = x
Step-by-step explanation:
3ln(2-x)=1
In(2-x)= 1/3
2-x = e ^1/3
2-x = 1.3956
2-1.3956 = x
0.6044 = x
Remark
The basic equation is y = mx + b
y = the total amount of money
m = The amount of money he save each month (it is a constant).
b = the y intercept which is his starting amount or 120 dollars.
x = the number of months (this is a variable).
After 3 months he has 840 dollars. That's y
840 = 3*m + 120 Subtract 120 from both sides
840 - 120 = 3m
720 = 3m
240 = m So he saves 240 every month.
Now the equation becomes.
y = 240 * x + 120
Savings after 24 months
y = Total
m = 240 dollars/month
x = 24 months
b = 120
y = 24*240 + 120
y = 5760 + 120
y = 5580
He had 5580 dollars after saving for 2 years (or 24 months total) This assumes that when he started, he took his birthday money and added a 1 month payment to it
M or the slope has to be constant throughout the graph. This is because in order for a line to be linear it has to be increasing or decreasing at the same rate. So it the slope was 2 from point x 1 -2 then the slope changed to 1 from 3-4 it would not be linear. :)
Dude, this is simple addition. 28.35 + 17.26 = 45.61
He now has $45.61
6 boxes of blueberry muffins and 8 boxes of corn muffins
Since we know that each box has 18 muffins, we can multiply both 6 and 8 to determine the amount of muffins present
6 • 18 = 108 blueberry muffins
8 • 18 = 144 corn muffins
To determine the price, you multiply each type of muffin by 0.50 as each muffin is worth $0.50
108 • 0.50 = 54
144 • 0.50 = 72
You add these two together to get the price
54 + 72 = $126
If you explain what the estimate is, if I didn’t answer that along the way, I can help answer it for you.
