Answer:
h(x) * s(x) = 200(1.05)^(x - 1)
Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
Answer:
slope=4/5
y-intercept = -3
Step-by-step explanation:
first we need to rewrite the expression to

were b is the y-intercept and m the slope

so there we have it

Answer:

Step-by-step explanation:
Width=(Length-2) units
W=(L-2) units
Area of the rectangle= 35 square units
Area = length* Width

Subtracting 35 both sides:

Solving the quadratic equation for 'L' ;
Using factorization:

Taking common from the equation :

OR

The length cannot be negative, therefore Length(L)= 7


Answer:
........
Step-by-step explanation:
you didnt give a proper question so i answed with ........
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).