Answer:
The combined amount is $14871.21.
Step-by-step explanation:
It is given that, the total yearly income of gentry family is <em>$29742.42</em>
<em>The % charge on income for food is 20%.</em>
<em>The % charge on income for housing is 30%.</em>
The amount in dollar from % form is given by,
= 
For annual food,
= 
= $5948.484
For housing budgets,
= 
= $8922.726
Thus the combined amount is,
= 
= $14871.21
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
=
= 
= 
= 
= cot²A = right side , thus proven
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.
We will substitute
and
.

This is the equation of the line with slope -2 that passes through (5,-1).
Answer:
-350% -0.4% -40% -37.5% hope this helps!
Step-by-step explanation:
Answer:
The factors are;
23, -23 , a , b
Step-by-step explanation:
Here, we want to write the factors of the given expression
-23 ab^2
The factors are simply those values or expression that can be divided by the given expressions
We have the factors as follows;
23
-23
a
b