Point-slope formula;
y - y1 = m(x - x1) slope(m) = -6 point(7, 5)
y - 5 = -6(x - 5)
y - 5 = -6x + 30
y = -6x + 30 + 5
y = -6x + 35 <<< the equation.
hope this helps, God bless!
Hello!
To find surface area, all you need to do is add up the areas of all the faces of the prism. Let’s start by remembering some basic area formulas:
Area of a triangle= 1/2*base*height
Area of a rectangle= length*width
First, find the area of each of the little triangles on the sides of the net. The base is 3 ft, and the height is 4 ft. So:
1/2*3*4= 6 ft
There are two triangles of the same size, so multiply that number by 2.
6*2=12
Now, find the area of the top rectangle:
3*8= 24
And the area of the bottom rectangle:
5*8= 40
Finally, add all of those numbers together:
12+24+40= 76 ft^2
That should be your answer!
Answer:
B -2x - 12y
Step-by-step explanation:
-8x + 6x = -2x
12y - 24y = -12y
-2x - 12y
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V =
πr³ when r is the radius.
V =
πr³
V =
π(30)³
V ≈ 113,097.34 units
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.

Multiply both sides by 100.


Divide both sides by 50.


The amount invested at 7% is
.
The amount invested at 8% is

The amount invested at 9% is

Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.