Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that 
Component costs $60 today
So P(0) = 60. Then



What will it cost in three years?
This is P(3).


The component will cost $36.8475 in three years.
He has $18 left (sorry im have to type 20 letterssss)
Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55