3x - 2 = x + 1
2x = 3
x = 3/2
x = 1.5
3x - 2 = 3(1.5) - 2 = 2.5
or
x + 1 = 1.5 + 1 = 2.5
P = 4(2.5) = 10
perimeter of square is 10 cm so side of square = 2.5cm
Hey!
Finding the factorial for the first few numbers, we have:
1!=1
2!=2
3!=6
4!=24
5!=120
6!=720
7!=720*7
8!=720*56
What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.
Feel free to ask further questions!
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The table shows a linear function.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table
m = 
= 4, thus
y = 4x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 → C
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
