Answer:
A.) 0.0129 = k
B.) 2024
Step-by-step explanation:
A.)
267,000 = 250,300e^k5
267,000/250,300 = e^k5
1.0667 = e^k5
ln(1.0667) = lne^k5
ln(1.0667) = 5k
ln(1.0667)/5 = k
0.0129 = k
B.)
300,000 = 250,300^0.0129t
300,000/250,300 = e^0.0129t
1.1986 = e^0.0129t
ln(1.1986) = lne^0.0129t
ln(1.1986) = 0.0129t
ln(1.1986)/0.0129 = t
14.03 = t
so the year would be: 2024
Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:

where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality

So, we get k = 450
Now, we will find c when n = 36

So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
Answer:
(4,1)
Step-by-step explanation:
Using substitution you can determine that 2*4-7 is in fact equal to 1
Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units