Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)
1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.
Answer:
Step-by-step explanation:
5x + 2y = 20
Here we will show you how to calculate the following:
Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.
Calculate the graph plot coordinates for 5x + 2y = 20
Solve 5x + 2y = 20 for x and also for y.
Calculate and show the solution for the slope of 5x + 2y = 20
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
5x + 2y = 20
5x + 2(0) = 20
x1 = 4 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
5x + 2y = 20
5(0) + 2y = 20
y2 = 10 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:
(x1,y1) and (x2,y2)
(4,0) and (0,10)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20
m = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 - 4)
m = -2.5
2 terms. (4x) and (9). Terms are separated by addition or subtraction but not multiplication or division
