Answer:
8 to the 5th power
8^5
Step-by-step explanation:
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
To solve the problem we must know about the Ratio.
<h2>What is Ratio?</h2>
A ratio shows us the number of times a number contains another number.
The length of the living space, in reality, is 21 meters.
Given to us
- The scale is given as 2 centimeters equals 2.5 meters.
To find
- the actual length of the living space if the length of the scale drawing is 16. 8 centimeters
<h3>Scale ratio</h3>
As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as
<h3>Length of the living space</h3>
Using the same scale ratio,
Hence, the length of the living space, in reality, is 21 meters.
Learn more about Ratio:
brainly.com/question/1504221
Answer:
Sydney is 42 years old
Step-by-step explanation:
57 - 15 = 42
(a) Profit equation
Profit = revenue - cost
unit profit = revenue per unit - cost per unit = 16-7.3=8.7
profit
p(x) = (unit profit)*x=8.7x
(b) profit over time
sales,
x(t) = 1000 * (100 * (ln(t^2+87)+48.8)
=100000 ln(t^2+0.87)+48800
profit,
P(t)
=p(x(t))-5200000
=p(100000 ln(t^2+0.87)+48800)-5200000
=8.7(100000 ln(t^2+0.87)+48800)-5200000
=870000*ln((t^2+0.87))-4775440
(c)
Break even quantity is when p(x)-5200000=0,
solving,
8.7x-5200000=0 =>
x=5200000/8.7
=597701.1
=597702 (rounded to next integer)
(d)
Time t to reach break even is when
P(t)=0
or
solve for t in
870000*ln((t^2+0.87))-4775440=0
ln(t^2+0.87)=4775440/870000=5.489
raise powers to base of e
t^2+0.87=e^(5.489)=242.018
t=sqrt(242.018-0.87)=15.53 months.
