Answer:
$1,085
Step-by-step explanation:
Data provided in the question:
Amount inherited and invested i.e principle = $31,000
Annual return for Mark on savings account = 2.9% = 0.029
Annual return for Charles on CD = 6.4% = 0.064
Now,
The Interest earned by Mark in 1 year = principle × Rate × Time
= $31,000 × 0.029 × 1
= $899
The Interest earned by Charles in 1 year = principle × Rate × Time
= $31,000 × 0.064 × 1
= $1,984
Therefore,
More Money that Charles have than Mark = $1,984 - $899
= $1,085
The elevation of the plane is 3600 ft
Let
- h = elevation of plane,
- d = distance from Marsha's house to spot on ground below plane = 3600 feet and
- Ф = angle of elevation of plane = 45°
From the triangle, we have the trigonometric ratio
tanФ = h/D
<h3>Elevation of the plane</h3>
Making h subject of the formula, we have
h = DtanФ
substituting the values of the variables into the equation, we have
h = DtanФ
h = 3600 ft × tan45°
h = 3600 ft × 1
h = 3600 ft
So, the elevation of the plane is 3600 ft
Learn more about elevation of the plane here:
brainly.com/question/26380084
Answer:
zero
Step-by-step explanation:
The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.
The regression line is expressed as:
where;
= dependent variable
a = intercept
b = slope
= independent variable
So, when is independent of the variation of , it means that does not linearly depend on . Thus, the slope of the regression will be zero.
a^2+b^2=c^2 <----- the equation to find out sides for a right triangle
Yeah. You basically have to look at every x value and see if for every x value, is there ONLY one y-value. So in your example, it is a function because every x value has only one y value. Let’s say you had (1,3) and (1,5). That would not be a function because the x value of 1 has TWO y values (3 and 5), therefore it is not a function.
That’s how you can easily spot if something is a function by just looking at a handful of ordered pairs. I hope this makes sense.
