Answer:
$311.20
Step-by-step explanation:
Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year
The formula is given as
Where ,
A is the final amount
P is the initial amount = $200
r is the rate of interest = 5% annual = 0.05
n is the frequency of compounding in a year ( Here it is compounding monthly) = 12
t is the time period = 9
Now we substitute all these values in the formula and solve for A
Hence the amount after 9 years will be $311.20
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
<h3>Defining the variables, let</h3>
<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>
<h3>Plugging everything into the equation</h3>
<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3><h3>30=2x+4x+6 combining like terms</h3><h3>30=6x+6 subtracting 6 from both sides,</h3><h3>24=6x divide both sides by 6</h3><h3>4=x This means that the width is 4 m.</h3><h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3><h3>L=2(4)+3</h3><h3>L=8+3 = 11 m</h3>
<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>