A conference room can seat a maximum of 85 people. The Principal and two counselors need to meet with the school's juniors to di
1 answer:
You might be interested in
Step-by-step explanation:
- Natalie has $5000
- She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.
Part a) What type of exponential model is Natalie’s situation?
Answer:
As Natalie's situation implies
- continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.
So, it requires the more generalized version of the principal calculation formula such as:
or
Here,
= interest rate
= number of compounding periods
= time period in years
Part b) Write the model equation for Natalie’s situation?
For continuous compounding the number of compounding periods, , becomes infinitely large.
Therefore, the formula as we discussed above would become:
Part c) How much money will Natalie have after 2 years?
Using the formula
$₂ $
So, Natalie will have $ after 2 years.
Part d) How much money will Natalie have after 2 years?
Using the formula
$₁₀ $
So, Natalie will have $ after 10 years.
Keywords: word problem, interest
Learn more about compound interest from brainly.com/question/6869962
#learnwithBrainly
Answer:
Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4) </u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4) </u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)