Answer:
13 sq cm.
Step-by-step explanation:
To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.
To find the area of the rectangle, we can simply do:
1 × 4= 4 sq cm.
Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.
We can see from the diagram that to find the base, we need to subtract:
7-4= 3 cm. This is the base of ONLY the triangle.
To find the height, we will need to do:
5+1= 6 cm. This is the total height of the entirety of the triangle.
We can now use the Triangle Area formula: 
(bh), to calculate the area of the triangle.
(6*3)= 9 sq cm.
Finally, add the areas of the rectangle and triangle together, giving you:
9+4= 13 sq cm.
Answer:
The vertical asymptotes are x=3 and x=-3. The horizontal asymptote is y=20.
Step-by-step explanation:
The given function is
Equate the denominator equal to 0, to find the vertical asymptotes.
Add 9 on both sides.
Taking square root on both sides.
Therefore the vertical asymptotes are x=3 and x=-3.
The given function can be written as
Degree of numerator and denominator are same.If degree of numerator and denominator are same, then horizontal asymptote is
Therefore the horizontal asymptote is y=20.
Step-by-step explanation:
Hope this helps:)
Answer:3.87298334621
Step-by-step explanation:
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
