Answer:
z =86
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior angles
z + z-39 = z+47
2z-39 = z+47
Subtract z from each side
z-39 = 47
Add 39 from each side
z = 47+39
z =86
Given:
<span> Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000
House 1: exponential function
House 2: linear function
House 1: f(x) = 249,000 * (1.02)^(x-1)
</span>→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60
House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000
House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110
House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000
House 1 will have a greater value than House 2 after 45 years.
Answer:
Perimeter: 22cm Area: 24cm^2
Step-by-step explanation:
To find perimeter we add all the sides together. There are two missing sides in this picture.
The bottom one is found by adding the two top lines 4 + 2 = 6
The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.
Now we have all the lines, add them together we get 22cm!
Now, there are two ways to find the area. Of course I’m going to show the one I prefer.
Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2
And now what’s the area of the missing chunk?
Our given line multiplied by the one we calculated for: 6cm^2
Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2
Answer:
The domain is 
.
Step-by-step explanation:
Domain is the input to a function. The input to a function is marked along the x axis as the x values are the independent values and thus are in the domain of the function.
From the graph, the function starts at 
when the point is (3,1) and then the graph of the moves towards infinity.
So, the domain of the function starts at 3 and move towards infinity.
Hence, the domain include the 
values between 3 to infinity including 3.
Solve for A:3 + 5/a = 3/A - 2
3 + 5/a = 3/A - 2 is equivalent to 3/A - 2 = 3 + 5/a:3/A - 2 = 3 + 5/a
Bring 3/A - 2 together using the common denominator A:(3 - 2 A)/A = 3 + 5/a
Multiply both sides by A:3 - 2 A = A (3 + 5/a)
Subtract (3 + 5/a) A + 3 from both sides:A (-5/a - 5) = -3
Divide both sides by -5/a - 5:Answer: A = 3/(5 + 5/a)
