Answer:
The number is 61.9
Step-by-step explanation:
Let
x ----> the original number
Remember that

we know that
The original number multiplied by the fraction 21/100 must be equal to the number 13
so
The linear equation that model this situation is

solve for x
Multiply by 100 both sides

Divide by 21 both sides

Answer:

Step-by-step explanation:
Let
x ----> the measure of the angle
we have

using a calculator
Find the the measure of angle x


Answer:
9.5%
Step-by-step explanation:
Use the formula I = Prt
I is the interest (unknown), P is the principal (1000), rate is the percent (unknown), and t is time in years (9/12).
9 months is a fraction of a year. There are 12 months in a year, so our fraction is 9/12. You can reduce this fraction by dividing by 3. The fraction reduced is 3/4. You can also use the decimal which is .75.
First we need to solve how much interest we earned. 1071.25 is the balance, so we need to subtract the principal from the balance.
1071.25 - 1000 = 71.25
Plug the numbers in to the formula. We are solving for r.
71.25 = 1000(.75)r
71.25 = 750r
71.25/750 = 750r/750
r = 0.095
Convert the decimal to a percent by moving the decimal two places right.
0.095 = 9.5%
4768 x 1551 is 7395168
7395168 divided by 10.2 is 725016.5 (rounded to the nearest tenths)
Answer:
D
Step-by-step explanation:
$65-$39=$26 increase
$26/$39=.6667 or 66.67%