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:
brainly.com/question/27747709
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Answer:
The answer is 3x(x - 3)(x + 2)
Step-by-step explanation:
3x³ - 3x² - 18x
<u>Factor out 3x from the expression</u>
We have
3x ( x² - x - 6)
<u>Solve</u><u> the terms in the bracket</u>
We have
3x ( x² + 2x - 3x - 6)
<u>Factor out x the expression in the bracket</u>
We have
3x ( x ( x + 2) - 3( x + 2) )
<u>Factor out x + 2 from the expression in the bracket</u>
We have the final answer as
<h3>3x ( x - 3) (x + 2)</h3>
Hope this helps you.
(10). 423,,,,,,,,,,4.10=40..
Hopefully that's help u
Most people use the decomposition method but i dont know how to do that so i use the Joes method a method similar to decomp. but easier.
canadian way
Find gcf: None
complet trinomial: 18n^2+57-10
find the product=10(18)
=-180
find the sum =57
-3 and 60 goes into both meaning if you multiply 3 and60 you get -180 and if you add them you get 57.
so (n-3)(n+60)
divide by a in this case it 18
so (n<u>-3</u>)(n+<u>60</u>)
18 18
do not divide. treat it like a fraction so you reduce it to lowest terms
(n<u>-3</u>)(n<u>-3)
</u> 18 10
<u /> at this point its reduced to lowest terms so now you take the deniminator and move it beside the "n"
=(18n-3)(10n-3)
therefore your answer is (18n-3)(10n-3)
I hoped this helped :)
Answer:
4
7
w
=
16
Multiply both sides of the equation by
7
4
.
7
4
⋅
4
7
⋅
w
=
7
4
⋅
16
Simplify
7
4
⋅
4
7
⋅
w
.
Step-by-step explanation: