y=6
Step-by-step explanation:

Collect like terms and simplify

Divide both sides of the equation by-3.5

Simplify

Answer:
Step-by-step explanation:
Use the equation 2,000 = 16,000(1-r)^t to solve for t;
2000 = 16000(1-0.35)^t
Divide both sides by 16000
2000/16000 = 0.65^t
0.125 =0.65^t
Introduce logarithm on both sides;
<em>ln</em> 0.125 = t <em>ln</em> 0.65
Divide both sides by <em>ln</em> 0.65;
(<em>ln</em> 0.125) / (<em>ln</em> 0.65) = t
-2.07944/ -0.4308 = t
4.827 = t
t= 5 (as a whole number)
Therefore, the car is about 5 years old.
Answer:
£1.6
Step-by-step explanation:
£20 ÷ £2.3= 8 remainder 1.6
change= £1.6
Number of toothpicks required per student = At least 9
Total number of students = 30
Number of toothpicks required for the entire class = At least 9 × 30 = At least 270
Number of toothpicks in the bag in the class storage room = 50
Additional number of toothpicks required to be bought to make sure there are enough toothpicks = 270 - 50 = 220
Hence, she needs to buy 220 toothpicks.