Answer:
Therefore the rate of growth of the tree is 33 cm/ yr.
Step-by-step explanation:
Given that,
The height of the tree is
H= 210 +33t
Here H represent the height of tree in cm and t is time in year.
The rate of growth is the first order derivative of the H with respect to time.
i.e The rate of growth 
∴H= 210 +33t
Differentiating with respect to t


Therefore the rate of growth of the tree is 33 cm/ yr.
Answer:
60%
Step-by-step explanation:
You can solve this problem by setting up a system of equations.
Let's say that the number of tickets bought by students in the first year is x, and the number bought by continuing students is y. From there, you can set it up like this:
0.4x+0.2y=160
x+y=500
Now, you can multiply the first equation by 5 on both sides to get:
2x+y=800
Subtracting the second equation from the first equation now yields:
x=300
y=200
Since 300 of the 500 tickets bought were from the first year students, and 300/500 is 0.6, 60% of the students who bought the ticket were first year students. Hope this helps!
Answer:
the answer is $598
Step-by-step explanation:
299×2=598
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.