Answer:
a.) $29,750.00 simple interest
b.) $75,266.35 Compounded annually
c.) $79,358.65 compunded quarterly
d.) $80,332.11 compounded monthly
Step-by-step explanation:
a.) Formula: I = p x r x t
Where:
P is the principal amount, $17000.00.
r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.
t is the time involved, 25....year(s) time periods.
So, t is 25....year time periods.
To find the simple interest, we multiply 17000 × 0.07 × 25 to get that:
The interest is: $29750.00
______________________________
b.) $75,266.35
c.) $79,358.65
d.) $80,332.11
From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325 See explanation below.
<h3>
What are the step by steps solution to the questions above?</h3>
First, lets us restate the question properly. We have
Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
Note that there are three equals signs. So lets divide the problem according and solve for the different parts.
Lets 1 - ((6*12+6)/80)² ............A
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C
Solving for A we have
1 - (78/80)²
= 1 - (0.975)²
= 1 - 0.950625
A = 0.049375
Solving for B we have
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)
= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625
B = -8.050625
Solving for C we have
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144
= 0.0325
In summary we can state that:
A = 0.049375
B = -8.050625
C = 0.0325
Given that there were no abstract quantities, we can state that
Pr = A ≠ B ≠C or
Pr = 0.049375 ≠ -8.050625 ≠ 0.0325
Learn more about equations with equal signs at
brainly.com/question/18924248
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Answer:
Step-by-step explanation:
External angle equals to the sum of opposite internal angles
z - 41° + z - 20° = z + 40°
2z - 61° = z + 40°
2z - z - 61° = 40°
z - 61° = 40
z = 40° + 61°
z = 101°
Answer:
the answer is 6
Step-by-step explanation:
the little triangle is half the size but with the same degree
Aiden will receive $1.43 from a $5 bill.
If the state tax is 5.5%, you can use the equation below to solve for the total cost, <em>t</em>.
<em>t</em> = 1.055 (2 × 1.09 + 1.20)
<em>t</em> = 1.055 (2.18 + 1.20)
<em /><em>t </em>= 1.055 (3.38)
<em>t </em>= 3.5659
You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, <em>c</em><em />.
<em>c </em>= 5 - 3.57
<em>c </em>= 1.43
