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.
Decide whether the two figures are similar. . Triangle A: (1,4), (3, 5), (4,2) Triangle B: (0, 5), (4,7), (6, 1)
puteri [66]
Answer:
Step-by-step explanation:
triangle A sides
√((5 - 4)² + (3 - 1)²) = √5
√((5 - 2)² + (3 - 4)²) = √10
√((4 - 1)² + (2 - 4)²) = √13
triangle B sides
√((7 - 5)² + (4 - 0)²) = √20 = 2√5
√((7 - 1)² + (4 - 6)²) = √40 = 2√10
√((6 - 0)² + (1 - 5)²) = √52 = 2√13
As each leg of B is twice a leg of A, they are similar
Answer:
Step-by-step explanation:
To solve this problem, you have to use the distributive property.
<u>Distributive property:</u>
⇒ A(B+C)=AB+AC
7(5+x)
Expand.
Solve.
7*5+7x
7*5=35
- <u>Therefore, the final answer is 35+7x.</u>
I hope this helps. Let me know if you have any questions.
Answer:
I think A
Step-by-step explanation:
because the side lengths should be the same and going down the middle.
if I am wrong plz tell me
When anything is divided by 10 we just move the decimal 1 place to the left So 36.0 once divided by 10 would become 3.6
