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:
b) y = f(x - 7) - 3
Step-by-step explanation:
it adds if its goes to the right and subtracts if it goes to the left
And when it goes down then it will also decrease in number.
that is why b) y = f(x - 7) - 3 is the correct answer to put
Answer:
5. LCM of 7 and 14: <u> </u><u> </u><em><u>1</u></em><em><u>4</u></em><em><u>. </u></em>
multiples of 7: <u> </u><u> </u><u>7</u><u>,</u><u> </u><u>1</u><u>4</u><u> </u>
multiples of 14: <u> </u><u>1</u><u>4</u><u> </u>
LCM of 8 and 12: <u> </u><u> </u><em><u>2</u></em><em><u>4</u></em><em><u>. </u></em>
multiples of 8: <u> </u><u> </u><u>8</u><u>,</u><u> </u><u>1</u><u>6</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>
multiples of 12: <u> </u><u> </u><u>1</u><u>2</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>
Step-by-step explanation:

Answer:

Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is

The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is
.



The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is 
We need to use the relation
to find
.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)





We substitute these values into the standard equation of the hyperbola to obtain:

