Answer:
c = 13d
Step-by-step explanation:
We begin with:
4d=1/3(c-d)
Expanding this gives:
4d = 1/3c - 1/3d
Adding 1/3d to each side results in:
4d + 1/3d = 1/3c
Combining 4d and 1/3d yields:
12d+d/3 = 1/3c
Then, we simplify to get:
13/3d = 1/3c
To isolate c, we rearrange:
c = 13/3d ÷ 1/3
Which further simplifies to:
c = 13/3d × 3/1
Thus, the final result is:
c = 13d
The vectors r(t) and s(t) are indeed parallel.
Answer:
The best mortgage option for them is (3).
Step-by-step explanation:
Mortgage offers (1) and (2) are similar since Damarco and Tanya's down payment of $34,000 (20% of the purchase price) requires them to pay interest over 30 years for both scenarios. Although option (1) entails approximately $750 monthly payments and option (2) requires about $9,000 annually, the total payments are quite comparable as option (2)'s interest rate, starting at 3.5%, could potentially rise but is unlikely to exceed 5%, while option (1) maintains a fixed annual interest rate of 4.25%.
Option (3), however, demands interest payments for only 8 years at a relatively lower annual rate of 4%. If they commit to $18,000 annually with a $34,000 down payment and repay the remaining balance (under $35,000) at the end of 8 years, it leads to the lowest total payment and quickest mortgage clearance among the three options. Therefore, this choice aligns best with their financial objectives.
Answer:
Option 2
Step-by-step explanation:
A prediction interval at 68% for an output of 120 workers will be given by an interval that consists of +/- 1* standard error of regression. Thus, at a 68% PI, this would be computed as 131958 +/- 14994.93 which corresponds to option 2
Answer: The image of the line segment as reflected across the line y = –x.
Explanation:
In reflecting across the line y = -x, the coordinates of x and y will switch positions, and their signs will also switch.
Given: The endpoints of a line segment are (–1, 4) and (4, 1), and their reflection results in the endpoints (–4, 1) and (–1, –4).
(-1, 4)→(-4, 1) and
(4, 1)→(-1, -4)
This demonstrates the reflection of the line segment across the line y = –x.
