Answer:
The balance after 15 year is $831.25 .
Step-by-step explanation:
Formula
Where P is the principle and r is the rate of interest in the decimal form and t is the time.
As given
Caiden earned $475 from mowing lawns last summer.
He deposited this money in an account that pays an interest rate of 3.8% compounded annually.
Here
P = $475
3.8% is written in the decimal form.
= 0.038
r = 0.038
t = 15 years
Put in the formula
Amount = $831.25
Therefore the balance after 15 year is $831.25 .
Considering the slopes of the given lines, they are parallel lines.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
The first line, in standard form, is given by:
5y = x + 5
y = 0.2x + 1.
The slope is of m = 0.2.
For the second line, we have that:
25y = 5x - 75
y = 0.2x - 3
The slope is of m = 0.2.
Same slope, hence the lines are parallel.
More can be learned about the slope of a line at brainly.com/question/12207360
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Answer:
c.
Step-by-step explanation:
That is the only answer choice that makes the most sense.
±10 = √100; in this case, they want the non-negative value, so it is 10.
Consider the following example:
Mira and Lola are looking to hire a hall for their 18th birthday party. They are expecting at least 50 guests and want a hire that will accommodate the party. Write this requirement as an inequality
Solution: the keyword here is 'at least' because it means that the hall must be able to accommodate a minimum of 50 people. It is a clue that Mira and Lola are expecting more than 50 guests. The inequality symbol for this context is 'more than or equal to' and as inequality, we have x ≥ 50
Answer:
last one
Step-by-step explanation:
You are swinging A(-1,-2) around the center which in this case is the origin. Keep in mind that points on a circle all have a equal distance from the origin. We don't want the distance from the center to change.
We want the center of that circle to be the origin.
So the answer is the last one:
"Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A. "
