The expression 10,785(1.0275)x represents the amount of money in an investment account with interest that compounds annually for
1 answer:
Answer: It shows the formula for "Amount" using the compound interest formula.
Step-by-step explanation:
Since we have given that
The expression :
So, it can be rewritten as
Here, initial investment = $ 10785
Rate of interest = 2.75%
Number of years = x
So, it shows the formula for "Amount" using the compound interest formula.
You might be interested in
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by
Differentiating the above equation with respect to time yields,
dx/dt = 0 since dock height doesn't change
The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,
Therefore, the boat is approaching the dock at rate of 2.14 ft/s
<u>Answer:</u>
The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.
<u>Solution:</u>
Need to find the variable in the given equation 803 divided by 73 = m
That means need to solve below expression to determine value of variable m.
So let’s solve left hand side to get the value of m.
For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.
Hence value of variable m is equal to 11.