Answer:
The correct answer is 250.
Step-by-step explanation:
To determine what is the total value of an operation in which the value 50 will mean its 20%, what we must do is simply multiply the value by 100, and divide it by the percentage:
(50,100): 20 =
5000: 20 =
250
In this way we verify that the total value was 250.
If you had any questions, we can calculate the% 20 of 250, to see if the result is 50:
250 0.20 = 50.
Thus we verify that the calculation was correct.
The expression for the money deposited in the bank is 500 + 40m and it will take 7 months to get the required amount.
The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
(A) The balance of Raj's account is given as $500.
And, the money deposited every month is $40.
Suppose, the number of months be m.
Then, the following expression can be written for money in account as,
500 + 40m.
(B) The equation for the given case can be written as,
500 + 40m = 780
⇒ 40m = 280
⇒ m = 7
Hence, the required expression is 500 + 40m number of months required is 7.
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The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
Option C is the correct answer.
We have,
To find the inverse of the function f(x) = x/4 - 2, we can follow these steps:
Step 1: Replace f(x) with y: y = x/4 - 2.
Step 2: Swap the variables x and y: x = y/4 - 2.
Step 3: Solve the equation for y.
Let's start by isolating y:
x = y/4 - 2
x + 2 = y/4 (Adding 2 to both sides)
4(x + 2) = y (Multiplying both sides by 4)
So, the inversefunction is y = 4(x + 2).
However, it's common to write the inversefunction with the variable x instead of y.
Therefore,
The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
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<= means greater then or egual to ok