Answer:
The value now = $207,360
Step-by-step explanation:
Rate of increase = 20% per year = 20/100 = 0.2 per year
value 3 years ago = $120,000
interest at year 1:
20% of 120,000
= 0.2 × 120,000 = 24,000
Value at the end of year 1
= initial value + interest
= 120,000 + 24,000 = $144,000
In year 2:
20% of 144,000
= 0.2 × 144,000 = 28,800
Value at the end of year 2:
144,000 + 28,800 = $172,800
In year 3
0.2 × 172,800 = 34,560
Value at the end of year 3:
34,560 + 172,800 = $207,360
Answer:
<h2>416m^2</h2>
Step-by-step explanation:
<h3>Area = Length * Width</h3><h3>Volume = Length * Width * Height</h3>
<h3>As we all can see,from the question we were given the parameters for calculating volume instead of the ones for calculating "area"</h3>
<h3>But from the the parameters, we can calculate for the total surface area</h3>
<h3>Floor = 12m ×10m = 120m^2</h3>
<h3>Roof = 12m × 10m = 120m^2</h3>
<h3>Front and back walls (x2) = 10m × 4m ×2 = 80m^2</h3>
<h3>Side walls (x2) = 12m × 4m × 2 = 96m^2</h3><h3>Total surface area</h3>
<h3>= 120m^2 + 120m^2 + 80m^2 + 96m^2</h3>
<h3>= 416 m^2</h3>
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:
m = 0
Step-by-step explanation:
<u>If two lines are parallel, their slopes are equal. </u>
The slope of x - axis is 0
(why?)
because, slope of a line is given by

Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
<u> </u>

Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units