Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Answer:
Step-by-step explanation:
<h2><u>Part A</u></h2>
in interval ( 0 ; 2)
<h2><u>Part B</u></h2>
in interval (2; 4)
<h2><u>Part C</u></h2>
in interval (4 ; 6 )
<h2><u>Part D</u></h2>
The graph shows that at first the ball rises up ; and then it is seen that it goes down and loses height to zero , from which it can be concluded that the height after 10 seconds remains unchanged and therefore the height of the ball after 16 seconds will be zero
160/32= 5
5*5= 25 mm
25 mm <em>is how many millimeters represents the kilometers.
</em>
I hope this helps!
~kaikers
Answer:
a = 30
b = 40
C
Step-by-step explanation:
This requires that you use a proportion.
a / (a + 15) = 40 / 60
The small triangle's sides are in proportion to the large triangles sides.
Reduce the right. Divide top and bottom by 20
a/(a + 15) = 40/20 // 60/20
a/(a + 15) = 2/3
Cross multiply
3a = 2(a + 15) Remove the brackets on the right.
3a = 2a + 30
Subtract 2a from both sides
3a-2a = 30
a = 30
Find B
b is done exactly the same way.
b/(b+20) = 2/3
3b = 2b + 40
3b - 2b = 40
b = 40
The formula to find the amount is
here A is amount
P is the principal
'r' is the rate of interest
n is the number of years.
Case 1.
Stevan invests
P =$ 20,000
r = 3% = 0.03
n = 10 years
Hence the interest earned
= A - P = 26878.33 - 20000 = $6878.33
Case 2.
Evan invests
P = $10,000
r = 7% = 0.07
n = 7 years
Hence the interest earned
= A - P = 16057.81 - 10000 = 6057.81
Difference in the interest = 6878.33 - 6057.81 = $820.52
Rounded to the nearest dollar difference in interest = $821
