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a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
Answer:
Step-by-step explanation:
1. Area => 7.5 x 2 = 15 m² (Choice B)
2. Area => 5 x 11 = 55 in² (Choice B)
3. Area = (12 x 18) * 0.5 = 108 cm² (Choice A)
4. Triangular Pyramid (Choice D)
6. Area of Rectangle => 12 x 9 = 108
Area of Triangle => 7x6 = 42
Sum of Area => 150
7. Surface Area => (4x4)x6 = 96 in² (Choice D)
8. Volume = 3x15x14 = 630 in³ (Choice D)
Answer:
Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is
Here, side is 'x' and area 'y' will be .
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
When x = 1
When x = 2
=>
When x = 3
=>
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
When x = 1
When x = 2
=>
When x = 3
=>
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
When x = 1
When x = 2
=>
When y = 3
=>
This is also linear in nature.
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A. 2(l)+2(w)=P
B. lw=A
C. 2(14) + 2(8) = P
28 + 16 = P
44 = P
D. Im going to assume the rectangle shown is the same as C...
14 x 8 = A
112=A
Hope this helps!
Answer:
The projected enrollment is 
Step-by-step explanation:
Consider the provided projected rate.
Integrate the above function.
The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.
Therefore, 
Now we need to find 
Hence, the projected enrollment is
