7526.44 because you look at the thousanth place (the 2) and since it is less than 5 you round down
18 !
27/x = 12/8
Cross multiply and then solve
Answer:
The final balance is $18,332.79.
The total compound interest is $6,332.79.
Step-by-step explanation:
Recall that the derivative of a function f(x) at a point x = c is given by

By substituting h = x - c, we have the equivalent expression

since if x approaches c, then h = x - c approaches c - c = 0.
The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.
For the first limit,

recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have

and cos(π/3) = 1/2.
For the second limit,

we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have

and 2e⁰ = 2.
We need to solve the equation to find x

We will simplify the left side by multiply each bracket by the number before it
-3(x - 6) = -3(x) + -3(-6) = -3x + 18
4(x + 1) = 4(x) + 4(1) = 4x + 4
Now put them on the left side

Add the like terms on the left side

Now we will collect x on the right side and the numbers on the left side
Subtract x from both sides

Add 14 to both sides

Divide both sides by 6 to find x

The value of x is 6