A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Try to get the fractions with same denominators. Use the LCD system to find equal factors to a common denominator. Then just simply compare it.
*Note: Larger fraction is the greater numerator.*
Hoped this helped.
~Bob Ross®
Answer:
f(x) = 34,500 × (1.032)^x
Step-by-step explanation:
Just completed the test and copied the answer directly from the review.
There is no restriction upon the domain, the x values, and is all real numbers or (-oo,+oo)
From such it is clear that the domain also contains all real numbers.
The range of f(x) is (-oo,+oo)
Answer: The predictor variable in this problem is the amount spent on promotional material.
Explanation:
A predictor variable refers to variable needed to make a prediction of another variable. If we analyze the problem, we notice that the supermarket chain is predicting the sales revenue generated because once the supermarket spends on promotional material, it will result to sales revenue. Thus, the predictor variable is the amount spent on promotional material.
