Y=-1/2x+5 slope=-1/2 because it goes down one unit and to the right 2 units, and the y intercept is 5 because that's where the line intercepts the y-axis!
Angle TQS is equal to 74 degrees
Answer:

Step-by-step explanation:
The amount formula in compound interest is:

where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2000

t = 7 (number of years from 6th to 13th bday)
n = 4 (quarterly in a year)
Then,

To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem:
- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.
-Madison is 5 feet tall.
2. Therefore, you have:
Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft
3. Now, you can calculate the height of the Statue of Liberty, as below:
height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft
4. Therefore, as you can see, the answer is: 62.13 ft
</span>
Hi there! The formula for simple interest is prt. That means multiply the principal (initial amount) by the rate (simple interest rate) by the time (could be in months or years). In this case, we multiply 475 * 5% (0.05) to get 23.75. That's $23.75 in interest each year, but we're looking for the amount earned in 10 years. To do this, multiply 23.75 by 10. When you do, you get 237.5. There. $237.50 in interest will be earned in 10 years.