Answer:
The simple interest is $1650
Step-by-step explanation:
Simple Interest = PRT/100
where p = principal, r = rate and t = time
p = $1200, r = 5.5%, and t = 25 years
SI = (1200*5.5*25)/100
SI = 12*5.5*25
SI = $1650
Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Answer:
m= -2
b = 3
Step-by-step explanation:
Take two points from line.
(0,3) and (1,1)
now slope(m) = (1-3)/(1-0)
m = -2
now
y = mx+b
or, 3 = -2×0+b
or, 3 = 0+b
so, b = 3
Answer:
-3
Step-by-step explanation:
-3/8÷3/4
=-3/8×4/3
=-6/2
=-3
What you do to solve this problem you put the faction side-by-side then see what number 16 and six could both go into just multiply 6 times 116 times one and keep on going down to you have the same answer doesn't answer you get is going to be a denominator and then after you get your denominator you do 5 times five and the number you get for you denominator