Answer:
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
Let
amount invested in 9% account be "x"
so
amount invested in 4% account would be "2300 - x"
The profit from the account would be the percentage (in decimal) multiplied with the amount invested in that account. So,
<u>Profit in 9% account:</u>
9% = 9/100 = 0.09
0.09 * x
0.09x
<u>Profit in 4% account:</u>
4% = 4/100 = 0.04
0.04(2300-x)
92 - 0.04x
Total profit = 0.09x + 92 - 0.04x
This is equal to 172. We equate this and find x:
Now,
2300 - x = 2300 - 1600 = 700
Hence,
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
When a graph is reflected about the x-axis, their x-intercept(s) are invariant point(s).
For y = 2x + 3, the x-intercept is -3/2.
Also the slope of the line graph when reflected about the x-axis will change from m to -m.
Therefore the new slope is -2.
We have y = -2x + c.
When x = -3/2, y = 0.
=> (0) = -2(-3/2) + c, c = -3.
Hence the answer is y = -2x - 3. (E)
Answer:
Step-by-step explanation:
Given:
The concrete block is a rectangular prism with two cubes cut out. The cubes have a side length of 6 inches.
To find: total volume, cubic feet, of concrete needed to make this block
Solution:
Side of cube = 6 inches
Volume of cube = 
So, volume of two cubes = 2(216) = 432 cubic inches
Length of rectangular prism = 12 inches
Breadth of rectangular prism = 8 inches
Height of rectangular prism = 8 inches
Volume of rectangular prism = length × breadth × height = 
Total volume of concrete needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = 
( use 1 cubic inch = 
)
