Answer:
c 31b4
Step-by-step explanation:
9514 1404 393
Answer:
a. m = 2; y intercept = (0, 4); y = 2 x + 4
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (18 -4)/(7 -0) = 14/7
m = 2
The y-intercept is the first given point: (0, 4).
The equation for the line in slope-intercept form is
y = mx + b
Here, we have m=2 and b=4, so the equation is ...
y = 2x +4
Answer: * =times\multiplication
<h2>
<u>every month the amount of money increases by a factor of 1.01</u></h2>
Explanation:
when t is 0 M(t) is 1000
when t is 1 M(t) is 1000 times 1.01
when t is 2 M(t) is 1000 times 1.01 squared which also looks like this:
1000* 1.01* 1.01
so in the end the factor is 1.01 because that is what is getting added each month (each month another 1.01 appears)
Answer:
length = 17 ft and width = 12 ft
Step-by-step explanation:
The rug is rectangular .
Let
width = a
length = a + 5
Area of the rug = a × (a + 5) = a² + 5a
The rug is always placed 2 ft from the wall. The illustration describes a rectangle place into another. The space between the rug and the wall is 100 ft².
The living room
length = a + 5 + 2 + 2= a + 9
width = a + 2 + 2 = a + 4
area = (a + 9)(a + 4) = a² + 4a + 9a + 36 = a² + 13a + 36
a² + 13a + 36 - (a² + 5a) = 100
a² + 13a + 36 - a² - 5a = 100
8a + 36 = 100
8a = 100 - 36
8a = 64
a = 64/8
a = 8
Dimension of the living room
length = a + 9
length = 8 + 9 = 17 ft
width = a + 4
width = 8 + 4 = 12 ft
length = 17 ft and width = 12 ft
The Answer is 2/3
Steps: 1/4(1-(2/3^2+1/3)