7% of $5100 is 357
416.50 / 357 = 1.16
I will take 1.16 years to gain $416.50
Here is the correct order of the step:
Identify: Anna's time is the unknown
Strategize : let x = Anna's time
Set up : 7(40) = x(50)
Solve: x = 5.6
Check: 7(40) = 5.6(50)
<h3>What is Anna's time?</h3>
The first step is to determine the distance Allen travelled:
Distance = average speed x time
40 x 7 = 280 miles
The second step is to determine the time it took Anna to travel 280 miles.
Time = distance / average speed
280 / 50 = 5.6 hours
To learn more about average speed, please check: brainly.com/question/21734785
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Im assuming you are supposed to factor this problem considering there is no = sign. starting with numbers, you can factor, or divide, both of those numbers by 9. moving on to letters, both terms have a “y” attached to them, so you can take out a y as well. leaving you with the simplified equation being
9y (2x-3)
Answer:
Th correct option is D. 13
Therefore the value of x is 13.
Step-by-step explanation:
Given:
measure of an intercepted arc = 86°
Center Angle = 86°
measure of the inscribed angle creating the intercepted arc= (3x+4)°
Angle Inscribed in arc = (3x+4)°
To Find:
value of x = ?
Solution:
Inscribed Angle Theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Substituting the values we get

Therefore the value of x is 13.
Solve the following system:
{y = x - 1 | (equation 1)
{2 x - y = 0 | (equation 2)
Express the system in standard form:
{-x + y = -1 | (equation 1)
{2 x - y = 0 | (equation 2)
Swap equation 1 with equation 2:
{2 x - y = 0 | (equation 1)
{-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - y = 0 | (equation 1)
{0 x+y/2 = -1 | (equation 2)
Multiply equation 2 by 2:
{2 x - y = 0 | (equation 1)
{0 x+y = -2 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = -2 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = -1 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -1
{y = -2