Answer:
42.69% of information is acquired by the student in two weeks.
Step-by-step explanation:
We are given the following in the question:
where a and b are constants.
p tells us about the percentage of acquired knowledge that a person retains after t weeks.
We have to find the percentage of knowledge acquired in two week.
We put t = 2
Thus, 42.69% of information is acquired by the student in two weeks.
Answer:
-3.69
Step-by-step explanation:
Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:
Now lets work out this problem:
Using calculator, we take the values of Ln 16 and Ln 13 as:
Ln 16 = 2.7726
Ln 13 = 2.5649
Now, we can solve for x:
x is -3.69 (rounded to 2 decimal places)
Answer:
12 feet
Step-by-step explanation:
Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.
Create a proportion to solve. Put the missing value in a numerator.
Tree height / Tree shadow = Man height / Man shadow
Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.
4x = 48 Divide both sides by 4 to isolate x.
x = 12 Height of tree
The tree is 12 feet tall.
