Price of book in 1938 = $ 0.10
Price of book in 2011 = $ 2,161,000
Number of years over 1938-2011 = 2011 - 1938 = 73
Annual increase in the price =
⇒ Annual increase in the price =
⇒ Annual increase in the price = (1.260302283 - 1 ) × 100
⇒ Annual increase in the price = 0.260302283 × 100
⇒ Annual increase in the price = 26.0302283 %
⇒ Annual increase in the price = 26%
Hence, the comic book price increased by 26% annually
Given:
To Find:
The number of months where the balance of both is equal and the balance itself.
Solution:
In 37.5 months, the account balances in both accounts will be equal.
This balance will be equal to $750 in both account A and B.
Calculation:
Let x be the number of months where both the accounts have equal balance.
So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).
And the total amount at the end of x months will therefore be $(150+16x)
Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).
And the total amount at the end of x months will therefore be $(300+12x)
By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation
Therefore, in 37.5 months, the account balances in both accounts will be equal.
This balance will be equal to i.e. $750 will be the balance in both account A and B.
Answer:
8) -8, -9
9) 4,
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of such that the polynomial becomes zero.
.
We use the following formula to determine the solutions of a quadratic equation of the form:
In this equation,
Substituting in the formula, we have:
Taking 2 common outside we get:
Therefore, we get two solutions viz, x = -3, -9.
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:
The values of x = 4, .
Hence, the answer.