Answer and solution below:
The answer is B. You didn't mention compounding, so I have to assume that this is simple interest. The formula for simple interest is
<span>Interest = principal * interest rate expressed as a decimal * time in years. </span>
<span>$126 = $450 * X * 7. Now multiply $450 * 7 years = $3,150 </span>
<span>$126 = 3,150X </span>
<span>What has been done to the X? It was multiplied by $3,150. What is the opposite of multiplication? It is division. Remember that whatever we do to one side of the equal sign we must also do to the other side of the equal sign. </span>
<span>$126 = $3,150X </span>
<span>-------____---------- </span>
<span>$3,150__$3,150 </span>
<span>Any number over itself = 1. Now we have </span>
<span>.04 = X </span>
<span>To change a decimal to a percent move the decimal place two places to the right and add a percent sign. </span>
<span>.04 = 4$. The answer is B</span>
Answer:
Area:
Step-by-step explanation:
Area of the blue area:
Perimeter of blue area:unsure as no numbers are given for the slanted side if the triangle.
Answer:
<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.
Step-by-step explanation:
Given:
A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.
Now, to find the ounces of silver alloy.
Let the silver costs $5.50 per ounce be 
And the silver costs $7.00 per ounce be 
So, the total ounce make a new alloy:
....(1)
Now, the total costs of silver alloy:
Putting the value of 
from equation (1) in the place of :
<em>Subtracting both sides by 210 we get:</em>
<em>Dividing both sides by -1.5 we get:</em>
Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.
Answer:
6.5 seconds
Step-by-step explanation:
When s=0, we have ...
0 = -16t^2 +676
t^2 = 42.25 . . . . . add 16t^2, divide by 16
t = √42.25 = 6.5
6.5 seconds will pass before the object hits the ground.
