Answer:
$9.60
Step-by-step explanation:
<em>Find the Discount </em>
The sale is 85% off, and the chalkboard is $64. To find the discount, multiply 85% and 64
85%*64
Convert 85% to a decimal by dividing by 100, or moving the decimal 2 spots to the left
85/100=0.85
85. --> 8.5--> .85
0.85*64=54.4
$54.40 is the discount
<em>Find the price </em>
Now we now the discount is $54.40. We have to subtract the discount from the regular price to find the sale price
regular price - discount
64-54.40
9.6
$9.60 is the sale price
Data:
P (Principal) = $1500
I (Simple Interest) = ?
t (time) = 5 years
r (percentage rate) = 4% = 0.04
Formula:
Solving (1) <span>Find the interest earned.</span>
Solution (2) <span>Find the balance of the account.
</span>The future value, (Account), of a loan is given by the equation: A = P + I
Sum/difference:
Let
This means that
Now, assume that is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.