$7881.18
Step-by-step explanation:
Let the initial Investment be 
. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.
As the annual interest rate is 12%, the monthly interest rate is 1%.
Since this is a compound interest problem, the total amount can be modeled as follows: 
Here 
is the interest rate, i.e 
, and t is the number of time periods, i.e 
= 
∴ Initial Investment = $7881.18
The slope of the line is 1. the equation would be y=x-3
The two numbers are 12 and 15
<em><u>Solution:</u></em>
Let the smaller number be "x"
Let the larger number be "y"
Given that,
<em><u>The sum of two numbers is 27</u></em>
Therefore, we frame a equation as:
Smaller number + Larger number = 27
x + y = 27 ------ eqn 1
<em><u>The larger number is 3 more than the smaller number</u></em>
Larger number = 3 + smaller number
y = 3 + x ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
x + 3 + x = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
<h3>x = 12</h3>
<em><u>Substitute x = 12 in eqn 2</u></em>
y = 3 + 12
<h3>y = 15</h3>
Thus the two numbers are 12 and 15
Answer:
79.95
Step-by-step explanation:
The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).
12% becomes -0.12
8% becomes 0.08
Now, let's solve.
79.99 - 0.12 + 0.08
Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.
Evaluating 79.87 + 0.08, we get the final answer, 79.95.
The graph that matches the function f(x) = 2(x – 1)2(x + 1)(x + 2) is shown in the attached file
<h3>How to draw the graph of a Polynomial?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
We want to draw the graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2). Using relevant coordinates input into the function and the generated output, the graph of the given function is as attached below.
Read more about Graph of polynomial at; brainly.com/question/14625910
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