Answer:The simple interest rate is 7.50%
Step-by-step explanation:
Simple interest, I =( P × T × R) / 100
Where P= Principal investment
T = Time in years
R = rate
Given
P= 981.60
I = 1000 - 981.60 = 18 .40
T = 13 weeks = 13 / 52 = 0.25 year
I =( P × T × R) / 100
Cross multiply
I × 100 = P × T × R
18.40 × 100 = 981.60 × 0.25 × R
1840 = 245.4 R
R= 1840 / 245.4
R = 7.498%
To the nearest tenth
R = 7.50%
X= 1,-3 If you factor equation you get x-1=0 and x+3=0
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5
That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.
Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4
Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.
I hope that helps. If anything didn't make sense, feel free to ask me.
Let the digit in the tens place be x
tens place = x (therefore the value is 10x)
ones place = x + 7
The number is 10x + x + 7
Add 26 to it
10x + x + 7 + 26 = 11x + 33
It is 5 times the sum of the digit
11x + 33 = 5(x + x + 7)
11x 33 = 10x + 35
x = 2
x+ 7 = 2 + 7 = 9
So the number is 29