Answer:
r = 1
Step-by-step explanation:
Solve for r
by simplifying both sides of the equation, then isolating the variable.
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The blanks are trying to lead you through the process of finding the point of interest.
__
The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)
The ratio you're trying to divide the line into is the ratio that goes in this blank:
Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)
Move <u> 6 </u> units <u> left </u> from point T.
The vertical distance from T to S is <u> 6 </u>.
Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)
Move <u> 4 </u> units <u> up </u> from point T.
__
Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).
The square root of 120 rounded to the nearest hundredth would be 10.95.
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
Two thousand dollars is invested at 5.5 percent interest compounded
quarterly for 2 years. Then the amount is $ 2230.88
<u>Solution:</u>
Given that Two thousand dollars is invested at 5.5 percent interest compounded quarterly for 2 years
<em><u>The formula for amount using compounded quarterly is given as</u></em>:
Where, "p" is the principal sum
"R" is the rate of interest
"T" is the number of years
Here in this problem,
P = 2000 ; R = 5.5 ; T = 2 years
Plugging in values in formula we get,
On solving we get,
Hence the amount is $ 2230.88
