Answer:
a) $20,771.76
b) $20,817.67
c) $20,484.80
d) $20,864.52
Step-by-step explanation:
<u>Compound Interest Formula</u>
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
<u>Part (a): semiannually</u>
Given:
- P = $15,000
- r = 5.5% = 0.055
- n = 2
- t = 6 years
Substitute the given values into the formula and solve for A:
<u>Part (b): quarterly</u>
Given:
- P = $15,000
- r = 5.5% = 0.055
- n = 4
- t = 6 years
Substitute the given values into the formula and solve for A:
<u>Part (c): monthly</u>
Given:
- P = $15,000
- r = 5.5% = 0.055
- n = 12
- t = 6 years
Substitute the given values into the formula and solve for A:
<u>Continuous Compounding Formula</u>
where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
<u>Part (d): continuous</u>
Given:
- P = $15,000
- r = 5.5% = 0.055
- t = 6 years
Substitute the given values into the formula and solve for A:
Learn more about compound interest here:
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Answer:
67.3%
Step-by-step explanation:
Calculate profit = selling price - cost price
cost price = 50 × $28 = $1400
38 × $49 = $1862
12 × $40 = $480
selling price = $1862 + $480 = $2342
Profit = $2342 - $1400 = $942
% profit = 
× 100%
= 
× 100% ≈ 67.3% ( to 1 dec. place )
Answer:
A length=24ft, width=15ft
Step-by-step explanation:
the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm
the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm
then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft
Hope this helps! :)
Answer:
The very last one is a function
Step-by-step explanation:
The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.
To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.
I hope this helps!! :D
Answer:
the plane would fall and crash at 150mph
Step-by-step explanation:
