Answer:
translated left by 6 units
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left of a units
• If a < 0 then shift right by a units
g(x) = (x + 6)² + 3
Indicating a shift of f(x) to the left by 6 units
Answer:28.25
Step-by-step explanation:
Equation is: y = - 2x^2 + 113x - 497
In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.
When we do that, derrivative function is:
dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113
At the maximum point derrvative function equals to zero.
So, - 4x + 113 = 0
-4x = -113
x = 28.25
So, the selling price should be 28.25
Answer:
area=length*breadth
area=24*40
area=960sqare m
if we convert 960m to mm it will be 960000mm
final answer area=960000 square mm
Answer:

Step-by-step explanation:
The formula for continuously compounded is:

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
- 1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015
Now we know all the values and can substitute them into the formula.


Solve the multiplication in the exponent first.

Solve the exponent.


Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

The account balance will be <u>$9,534.37</u> after 16 years.