9514 1404 393
Answer:
- 20% decay
- 40% growth
- 80% decay
- 40% decay
- 60% growth
Step-by-step explanation:
The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.
For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.
__
Here, we'll list the growth factor and the rate of change:
growth factor ⇒ rate of change
0.8 ⇒ 20% decay
1.4 ⇒ 40% growth
0.2 ⇒ 80% decay
0.6 ⇒ 40% decay
1.6 ⇒ 60% growth
<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4) B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>
substitute the values
units
units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units
The answer is 5x + 76y
There is no complete standard form because there is no value for x or y given.
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
Answer:
Step-by-step explanation:
<u>Pool:</u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway:</u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
