Answer:
B) Its final coordinates are (8,-6)
Step-by-step explanation:
1. Translated 1 unit up and 4 units left
(-2,7) becomes (-6, 8)
2. Reflected about the x-axis
(-6,8) becomes (-6, -8)
3. Rotated 90° anticlockwise about the origin
(-6, -8) becomes (8, -6) because when rotating 90 degrees anticlockwise about the origin, point A (x,y) becomes point A' (-y,x). In other words, switch the x and y and make y negative.
Hello there! For this question, because the revenue increases, we will be compounding. The formula for coompounding is P(1 + r)^t, where P = initial amount, r = rate in decimal form, and t = time in years. First, let's add 1 into the rate. 3.5% is 0.035 in decimal form. 1 + 0.035 is 1.035. 1995 is 5 years from 1990 and 2006 is 16 years from 1990. Let's start by raising it to the 5th power. 1.035^5 is 1.187686306. Do not delete the number from your calculator. Multiply it by 250,000. When you do, you get 296,921.5764 or 296,921.58 when rounded to the nearest hundredth. We solved for 1995. Now, let's solve for 2006. 1.035^16 is 1.73398604. Again, do not delete the number from your calculator. Multiply by 250,000. When you do, you get 433,496.509957 or 433,496.51 when rounded to the nearest hundredth. There. Here are your answers:
1995: $296,921.58
2006: $433,496.51
Answer:
After three years, the amount in said account will be Rs $ 119,015.57.
Step-by-step explanation:
Given that Ashwin deposited rupees 75000 in a bank where the interest is credited half yearly to find the amount he will receive after 3 years at 16% per annum, the following calculation has to be made:
X = 75000 x (1 + 0.16 / 2)^3x2
X = 75000 x 1.08^6
X = 119,015.57
Thus, after three years, the amount in said account will be Rs $ 119,015.57.
Answer:
x=17
Step-by-step explanation:
VS is a straight line so it equals 180 degrees
The arc with be 180 degrees
VR + RS = 180
45+ 6x+33 = 180
Combine like terms
78+ 6x = 180
Subtract 78 from each side
78+6x-78 = 180-78
6x = 102
Divide each side by 6
6x/6 = 102/6
x =17
Answer:
-8 < x ≤ 0
<h3>
Step-by-step explanation:</h3>
Let's remember what open and closed circle mean:
<em>Open Circle:</em>
Less than ( < ) / Greater than ( > )
<em>Closed Circle:</em>
Greater than or equal to ( ≥ ) / Less than or equal to ( ≤ )
Now, let's review this graph:
Let's call this unknown value 'x'
Reading the graph left to right:
x is greater than -8, but is less than <em>or equal to</em> (Remember!! Closed circle!)
We can right this as:
-8 < x ≤ 0
And that is our answer! If your problem wants a different variable (y, z, q, etc) just put that in place of 'x'
Let me know if this helped!