Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Comparing the total cost, work out the value of x:</u>
- 2x + x + 0.2 = 3.80
- 3x = 3.60
- x = 1.20
<span>Answer:
Let x = degree measure of the angle
So, the complement of the angle has degree measure 90-x
4/11 = x/(90-x)
4(90-x) = 11x
360 - 4x = 11x
15x = 360
x = 24°
Supplement = 180 - x = 156°
x/(180-x) = 24/156 = 2/13</span>
The area of the circle is 28.26 sq in hope this helps
Answer: it will take 17.33 years to double.
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e^(r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 425
A = 2 × 425 = 850
r = 4% = 4/100 = 0.04
Therefore,
850 = 425 x 2.7183^(0.04 x t)
850/425 = 2.7183^(0.04t)
2 = 2.7183^(0.04t)
Taking ln of both sides, it becomes
Ln 2 = 0.04t ln 2.7183
0.693 = 0.04t
t = 0.693/0.04
t = 17.325
