Answer:
This is the answer of your question.
Hello! $800 was the past amount for rent and now it's $900. 900 - 800 is 100. that's a $100 difference. In order to find the percent increase in the rent, we can write and sovle a proportion. It would be set up as change/original = x/100, where change is difference between two numbers and original is the previous price. It would be set up like this:
100/800 = x/100
Let's crossmultiply the values. 100 * 100 is 10,000. 800 * x is 800x. That makes 10,000 = 800x. Now, divide each side by 800 to isolate the x. 800x/800 cancels out. 10,000/800 is 12.5 or 12.5%. Let's check this by multiplying by 112.5%. 800 * 112.5% (1.125) is 900. That's what we're looking for! There. x = 12.5%. The percent increase is 12.5%.
1. The answer is 16^2, so B.
16 x 16 = 256
2. The answer is 17, so B.
Some of the factor of 68 are: 1, 2, 4, 17, 34 and 68.
3. The answer is 15, so B.
Only 15 is composite since it contains more than a factor, which are 3 and 5. The rest of the numbers are prime since they only contain a factor.
4. The answer is 2^2^3^7, so B.
The factor tree:
84
2 x 42
2 x 2 x 21
2 x 2 x 3 x 7
Hope this helps! :)
Answer:
B. 
Step-by-step explanation:
Answer:
y = 43x − 25
Step-by-step explanation:
Evaluate the function at x=1:
f(x) = 12x³ + 3x² + x + 2
f(1) = 12 + 3 + 1 + 2
f(1) = 18
Find the slope of the tangent line at x=1:
f'(x) = 36x² + 6x + 1
f'(1) = 36 + 6 + 1
f'(1) = 43
Point-slope form:
y − y₀ = m (x − x₀)
y − 18 = 43 (x − 1)
Convert to slope-intercept form:
y − 18 = 43x − 43
y = 43x − 25
Graph:
desmos.com/calculator/giumpkkphr
