To solve this problem, we are going to set up an equation. However, first we need to convert the percentages to decimals by dividing by 100.
15% = 0.15 , 7.5% = 0.075
Now, we should substitute in our given information into our equation and let our unknown value be equal to the variable x.
0.15(500) = 0.075x
Then, we should simplify our equation by multiplying together the two factors on the left side of the equation.
75 = 0.075x
Finally, we should divide both sides of the equation by 0.075 to get the variable x alone.
x = 1000
Therefore, your answer is 1000.
Hope this helps!
To solve the question we use the compound interest formula which is given by:
A=p(1+r)^(nt)
where:
A=future value
p=principle
r=rate
n=number of terms
t=time
thus plugging in the values in the formula we shall have:
A=835(1+0.04)^(4t)
simplifying this we get the sequence:
A=835(1.040)^(4t)
Thus the answer to the sequence will be:
A=835(1.040)^(4t)
For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
(6 - 2) - 1 = 4 - 1 = 3
6 - (2 - 1) = 6 - 1 = 5
The associative rule doesn't work for subtraction because you get different results when you move the parentheses.
Where x is the length of the first piece

so the first piece is 3 inches, the second is 6 inches and the third is 19 inches