Each LED bulb, along with installation labor, is priced at
.. $6.95 +$3 = $9.95
For 100 bulbs over a span of 10 years, that equals (100*10) = 1000 bulb·years. At $9.95 per bulb, 5 bulb·years are obtained, and thus the projected total cost for 1000 bulb·years is
.. (1000 b·y)*($9.95/(5 b·y)) = $1990
In summary, for a decade, the installation and changes of 200 bulbs in 100 lamps amount to $1990. Therefore, the yearly cost is...
.. $1990/(10 yr) = $199/yr
None of the provided options appear to be accurate. The equation resembles y = mx + b, identifying m as the slope and b as the y-intercept. Here, m = -14. Parallel lines maintain the same slope, resulting in the new line's slope of -14. To find the y-intercept, we substitute x = 4 and y = 4 into the equation. Consequently: 4 = (-14)(4) + b. By solving for b, we find b = 60. Therefore, the new line's equation is y = -14x + 60.
Answer:
Review the explanation
Step-by-step explanation:
The triangles ΔABC and ΔBAD are congruent, establishing:
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Now, consider triangles AEC and BED. In these triangles, we have:
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (due to ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (being vertical angles).
Therefore, ΔAEC ≅ ΔBED, which leads to the conclusion that:
AE ≅ EB.
This indicates that line segment CD bisects segment AD.
The value of y that would ensure OP runs parallel to LN is 36. Step-by-step explanation: This pertains to the concept of similar triangles. The diagram based on the provided data is attached. Given: The length of OL is 14, OM is 28, MP is y, and PN measures 18. The total length of MN is the combination of MP and PN, expressed as y + 18. The length ML is calculated as MO plus OL, giving us 28 + 14 = 42. For OP to be parallel to LN, the ratio MO to ML must equal MP to PN, formulated as MO/ML = 28/42 and MP/PN= y/(y+18). By equating both ratios 28/42 = y/(y+18), it simplifies to 42y = 28(y + 18). Solving for y leads to 42y being equal to 28y + 504, resulting in 14y = 504. Thus, y equals 504/14 = 36.
