Answer:
The function, h(x) = x³ - 2x² - 4x + 5 has 2 or 0 positive real zeros and exactly 1 negative real zero.
Step-by-step explanation:
Using Descartes' Rule of Signs
For the positive-root case, the sign on x is not changed:
h(x) = x³ - 2x² - 4x + 5
Counting the number of sign changes while ignoring the actual coefficients; there are two sign changes.
Thus, the function, h(x) has 2 or 0 positive real zeros
For the negative root case, h(-x), that is changing the sign on x
h(-x) = (-x)³ - 2(-x)² - 4(-x) + 5
h(-x) = -x³ - 2x² + 4x + 5
Counting the number of sign changes while ignoring the actual coefficients; there is only one sign change.
Thus, the function, h(x) has exactly 1 negative real zero.
Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
Similar to compound interest:
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that
After 12 years is A(12). So
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So .
After 12 years.
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
Answer is C.
12 servings 9 servings
----------------- = ---------------
2tsp vanilla ? tsp vanilla
Answer:
the answer is 300 if you divide y'know
Step-by-step explanation: