Answer:
Step-by-step explanation:
Since we are talking about compounded annual interest, we can use the Exponential Growth Formula to calculate the answer for this question.
Where:
- y is the total amount after a given time
- a is the initial amount
- r is the interest rate in decimal form
- t is the amount of time
First we need to calculate the total after 2 years with a 9% interest.
So after 2 years there will be £1,188.10 in the account. Now we can add £3000 to that and use the new value as the initial amount, and calculate the new total in 5 years.
So now we can subtract the £4000 purchase from the amount currently in the account, and calculate one more year of interest with the new initial amount.
So at the end you would have £2,662.86 in the account one year after the purchase.
9514 1404 393
Answer:
x = -1, 1, 9
Step-by-step explanation:
You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...
f(x) -g(x) = 0
x³ -9x² -(x -9) = 0
x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms
(x² -1)(x -9) = 0 . . . . . . use the distributive property
(x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares
Values of x that make these factors zero will make f(x) = g(x):
x = -1, 1, 9 for f(x) = g(x)
The value of .
Solution:
Given data:
To find the value of
Using trigonometric identity,
Substitute in the identity, we get
1 can be written as .
Do cross multiplication.
Denominators are same, so you can add the fractions.
Taking square root on both sides, we get
Option B is the correct answer.
Hence the value of .
Answer:
75.50
Step-by-step explanation:
Let the original price P
As per given information, Price of a Discount ticket is 12.50 less than original price
Discount price of a ticket= P- 12.50
Also discounted Price= 63
According To Question
P- 12.50 = 63
P= 63+ 12.50
P= 75.50
Hence, the original price of a ticket is 75.70
Hence, the correct answer is 75.50