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:
Surface area: 4323pi
Fill the box with the value "4323", as there is a "pi" after the box.
Step-by-step explanation:
We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).
The surface area of the cone, without the base, is:
S1 = pi * r * s
Where s is the slant height.
To find s, we can use the Pythagoras' theorem with the radius and the height:
s^2 = h^2 + r^2
s^2 = 56^2 + 33^2 = 4225
s = 65
So the surface area is:
S1 = pi * 33 * 65 = 2145pi
Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:
S2 = (1/2) * 4 * pi * r^2
S2 = 2 * pi * 33^2 = 2178pi
Finally to find the total surface area we just need to sum both surface areas:
S = S1 + S2 = 2145pi + 2178pi = 4323pi.
As after the box to answer there is a pi, we just need to fill the box with the value "4323"
Answer:
1A= 27+43= 70
Step-by-step explanation:
you add the values of each thing they are asking so for the next one you would do, Cakes Plus Biscuits. So 86+59 and that will give you your answer for 1B
-4w + 8v + 2y = -4w + 8v + 2y