Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
If she can only work 15 hours a week and earns $7 per hour, just multiply 7 by 15 and you'll have your answer :)
<em>The</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>X </em><em>is</em><em> </em><em>9</em><em>2</em><em>.</em>
<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>solution</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>
Answer: 
Step-by-step explanation:
For this exercise it is important to remember that:
1. The Addition property of equality states that:
If
, then 
2. The Subtraction property of equality states the following:
If
, then 
3. The Division property of equality states that:
If
, then 
4. The Multiplication property of equality states the following:
If
, then 
Then, having the following equation given in the exercise:

You need to solve for the variable "r" in order to find its value.
In order to solve for "r", you must apply the Addition property of equality adding 14 to both sides of the equation.
Therefore, you get the following solution:
