We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.
We will use simple interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 2% into decimal.

We have
and
, so we will get:




Therefore, Anil will pay
to the bank after 10 years.
First we need the total of both children and adults that like all the flavors:
12 + 5 + 20 + 23 + 11 + 16 = 87 total people
then find the number of adults that like sweet mint: from the table 11 adults like sweet mint
to find the probability divide the number of adults who like sweet mint by the total number of people:
11 / 87 = 0.126
the answer is A
B.) 30 degrees would be correct here
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be
, the first and second derivatives are, respectively:
First Derivative

Second Derivative

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:


(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:


The highest altitude that the object reaches is 576 feet.