Answer:
<u>The quantity is US$ 58, which 6.5% is US$ 3.77 </u>
Step-by-step explanation:
Number = x
6.5% of x = $ 3.77
6.5% = 0.065 = 65/1,000 = 13/200 (Dividing by 5)
3.77 = 3 + 77/100 (We can't simplify 77/100)
Thus,
13/200 * x = 3 77/100
13x/200 = 377/100
13x = 754 (Multiplying by 200 at both sides)
x = 754/13 (Dividing by 13 at both sides)
<u>x = 58</u>
Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
Answer:
Three cubes
Step-by-step explanation:
Lets first write down what we know.
<em>The dimensions of the pyramid are a base of 6cm and a height of 10cm.</em>
<em>The cubes are 2cm by 2cm by 2cm.</em>
<em>We need to find the volume of both to solve.</em>
First, lets solve for the volume of the pyramid. The equation is <u>Volume=base*height/3</u>
Lets put in the values we know.
volume=6*10/3
Multiply.
volume=60/3
Divide.
volume=20cm
Now that we know the volume of the pyramid is 20cm, all we have to do is find the volume of the cubes, and then divide 20cm by their volume.
To find the volume of the cubes, we just need to multiply length, width, and height together.
2cm*2cm*2cm=8cm
Now divide 20cm by 8cm.
20/8=2.5 rounding up to 3.
<em>Devin will need to melt 3 cubes to fill the square pyramid.</em>
Hope this helps!
To solve this you can subtract and you get 6
the distance between -7 and -1 is 6
Answer:
<em>(-3, 3/2)</em>
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
<em>Hence the ordered pair is (x, y) = (-3, 3/2)</em>
