Answer:
The value of Lucys house at the start of 2017 is 231525.
Step-by-step explanation:
It is given that the initial value of Lucys house is 200,000. The at the start of 2017.
The exponential function is defined as

Where, P₀ is initial value, r is growth rate, t is time in years.
The value of house is defined by the function

Where, t is number of years after 2014.

The difference between 2017 and 2014 is 3 years.

Therefore the value of Lucys house at the start of 2017 is 231525.
Answer:
pythagorean theorem=a squared + b squared =c squared
where c is the hypotenus(the longest part)
Step-by-step explanation:
16 squared = 8 squared +....
16 ×16=256=8×8=64 + y
256_64=192
sq. root of 192=13.85
y=180_90=90
90÷2=45
y=45
z=45
x=13.85cm
hope you understand
The answer is 1/3. Hope I helped
Answer:

Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.

Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1