Answer:
- A) k = 18.75
- B) R(0.8) = 161419
- C) R(0.3) = 275
Step-by-step explanation:
<u>Given expression</u>
A) <u>Given</u>
<u>Solving for k</u>
- 10 = 6*e^(0.04k)
- e^(0.04k) = 10/6
- ln (e^0.04k) = ln (1.6666)
- 0.04k = 0.51
- k = 0.51/0.04
- k = 12.75
B) <u>Given</u>
<u>The value of R(0.8) is:</u>
- R(0.8) =
- 6*e^(0.8*12.75) =
- 6*e^(10.2) =
C) <u>Given</u>
<u>The value of R(0.3) is:</u>
- R(0.3) =
- 6*e^(0.3*12.75) =
- 6*e^(3.825) =
First, let's write two expressions, letting x= the number of months which have elapsed:
Bill: 120 + 10x
Phil: 150 + 4x
If we set them equal to each other, then solve for x, that will be the number of months where their weights equal each other:
120+10x = 150 + 4x [starting equation]
-120 -4x -120 -4x [ subtract 120 from both sides, and 4x from both sides, to isolate the term with the variable]
<u>6x</u> = <u>30</u> [divide both sides by 5]
5 5
x=6. They will weigh the same in six months.
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
The answer is :150 square inches because: a cube have equal lengths like a square so therefore 5x5 = 25. There are 6 sides of a cube so: 25x 6= 150
Answer:
P = 7.14%
The percentage of those 30 years or older that own an ipod is 7.14%
Step-by-step explanation:
Given;
Percentage of ipod owners Pi = 20%
Percentage who don't own ipod Pd = 100-20 = 80%
For age 30 or older;
Percentage of ipod owners who belong to this group
Po = 20% of Pi
Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd
The percentage of those 30 years or older that own an ipod is;
P = Po/(Po+Pu) × 100%
Po = 20% of Pi = 20% of 20% = 0.2×20 =4%
Pu = 65% of Pd = 65% of 80% = 0.65×80% = 52%
Substituting the values;
P = 4/(4+52) × 100%
P = 7.14%
