In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>
Answer:
See below
Step-by-step explanation:
Given the above information, we can make the first part to be;
First part = y + 10
Then,
Second part = y
y + 10 : y = 5 : 3
(y + 10) / y = (5) / (3)
Cross multiply,
3y + 30 = 5y
Collect like terms
5y - 3y = 30
2y = 30
y = 15
Therefore, substituting the value of y,
First part = y + 10
First part = 15 + 10
First part = 25
Second part = y
Second part = 15
Number = First part + Second part
Number = 25 + 15
Number = 40
A) See the attached graph. The purple area appears to be what you want to find.
b) Integrating with respect to x seems much easier. If one were to integrate over y, there would need to be two regions of integration: [1, e^2] and [e^2, e^4].
c)
Answer:
1 2 3
Step-by-step explanation:
4 * 1 <16 4 is less than 16
4 * 2 <16 8 is less than 16
4 *3 <16 12 is less than 16
4 * 4 is not less than 16. 16 is not less than 16