Please help with my word problems?

Solve the problem.

The rabbit population in a forest area grows at the rate of 6% monthly. If there are 260 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April. Use y=260(2.7)^0.06t? (I don't understand how to solve this problem?)

The size of the beaver population at a national park increases at the rate of 5.1% per year. If the size of the current population is 151, find how many beavers there should be in 4 years. Use the function f(x)=151e^0.051t and round to the nearest whole number. (This is what I got so far: f(4)=151e^0.051t)

Find the accumulated value of an investment of $20,000 at 12% compounded annually for 5 years. (I know annually is once year, so this is over a period of 5 years, so it would be five years and I would have to use the formual a=p(1 +r/n)^nt)

Find the accumulated value of an investment of $700 at 16% compounded quarterly for 2 years
(I know quarterly means 4 times, so if its for 2 years, it would 8 times, and I think the equation I would use would be a=p(1 +r/n)^nt)

a recipe calls for 3 cups of milk for four servings. how much milk will be needed to make 10 servings?

A square is made up of section A and section B. Section A is 500 sq. ft. and section B is 750 sq. ft. What percent of the square is section A?

Find the number of years forb$4800 to grow to $9400 at 6% compounded quareterly

To solve the first problem, let's break it down step by step.

Problem 1:
The given formula is y=260(2.7)^0.06t

Step 1: Understand the formula.
The formula represents exponential growth, where y is the number of rabbits, t is the time in months, and 0.06 is the growth rate per month.

Step 2: Substitute the given values.
We are given that there are 260 rabbits in April. So, let's substitute t = 0 into the formula to find the initial value:
y = 260(2.7)^0.06(0) = 260.

Step 3: Find the number of rabbits by next April.
To find the number of rabbits by next April, we need to substitute t with the number of months between April and next April (which is 12 months) into the formula:
y = 260(2.7)^0.06(12).

Step 4: Use a calculator to calculate the value.
Using a calculator, evaluate 2.7^0.06(12) to find the value. The result is approximately 330. Round it to the nearest whole number, and we get around 330 rabbits expected by next April.

So, the answer is approximately 330 rabbits by next April.

Now let's move on to the second problem:

Problem 2:
The given function is f(x) = 151e^0.051t.

Step 1: Understand the formula.
This formula represents exponential growth, where f(x) is the number of beavers, t is the time in years, and 0.051 is the growth rate per year.

Step 2: Substitute the given values.
We are given that the current population size is 151. So, let's substitute t = 0 into the formula to find the initial value:
f(x) = 151e^0.051(0) = 151.

Step 3: Find the number of beavers in 4 years.
To find the number of beavers in 4 years, we substitute t = 4 into the formula:
f(x) = 151e^0.051(4).

Step 4: Use a calculator to calculate the value.
Using a calculator, evaluate e^0.051(4) to find the value. The result is approximately 182. Round it to the nearest whole number, and we get around 182 beavers expected in 4 years.

So, the answer is approximately 182 beavers in 4 years.

Moving on to the third problem:

Problem 3:
To find the accumulated value of an investment, we can use the formula: a = p(1 + r/n)^(n*t).

Step 1: Understand the formula.
The formula represents compound interest, where a is the accumulated value, p is the principal amount (initial investment), r is the interest rate (expressed as a decimal), n is the number of compounding periods per year, and t is the time in years.

Step 2: Substitute the given values.
We are given:
Principal amount (p): $20,000
Interest rate (r): 12% (0.12 as a decimal)
Number of compounding periods per year (n): 1 (as it's compounded annually)
Time (t): 5 years

Substituting these values into the formula, we get:
a = 20000(1 + 0.12/1)^(1*5).

Step 3: Calculate the value.
Using a calculator, evaluate (1 + 0.12/1)^(1*5) to find the value. The result is approximately 35,732.91. Round it to the nearest whole number, and we get $35,733 as the accumulated value of the investment after 5 years.

So, the accumulated value is $35,733.

Finally, let's solve the fourth problem:

Problem 4:
The formula for compound interest remains the same: a = p(1 + r/n)^(n*t).

Step 1: Understand the formula.
We know the formula for compound interest. The given values are:
Principal amount (p): $700
Interest rate (r): 16% (0.16 as a decimal)
Number of compounding periods per year (n): 4 (as it's compounded quarterly)
Time (t): 2 years

Step 2: Substitute the given values.
Substituting the given values into the formula, we get:
a = 700(1 + 0.16/4)^(4*2).

Step 3: Calculate the value.
Using a calculator, evaluate (1 + 0.16/4)^(4*2) to find the value. The result is approximately 898.84. Round it to the nearest whole number, and we get $899 as the accumulated value of the investment after 2 years.

So, the accumulated value is $899.

I hope these explanations help you understand how to solve word problems using the given formulas! Let me know if you have any more questions.