Answer:
Age of teacher = 32 years
Step-by-step explanation:
Average age of 15 students = 16 years
Sum of age of 15 students = 16 * 15 = 240 years
Average of age 15 students and a teacher = 17 years
Sum of age 15 students and a teacher = 17 * 16 = 272 years
Age of teacher = 272 - 240 = 32 years
The total length of the rope = 32 ft
It is cut into two sections, say x and y
But one section is seven times the other, say y=7x (shorter section being x)
Solving for x
x+y =32
x+7x = 32
8x=32
x=32/8 = 4 ft.
Therefore, the shorter piece is 4 ft long.
Step-by-step explanation:
i hope this makes sense lol. You can see it's a linear since it decrease at a steady rate. so you have to find the slope and find the y- intercept
Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.
In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.
Find 10% of it (just move the decimal point one spot to the left) and multiply by 4