Kernel: Python 3 (system-wide)

COSC130 - Homework 01

Kyle Anderson

Problem 1: Arithmetic and Geometric Means

In [1]:

x0 = 11
x1 = 13
x2 = 17
x3 = 19

total = x0+x1+x2+x3
product = x0*x1*x2*x3

arith_mean = round(total/4,2);

geom_mean = round(product**(1/float(4)),2)

print("Sum:             ", total)
print("Product:         ", product)
print("Arithmetic Mean: ",arith_mean)
print("Geometric Mean:  ", geom_mean)

Out[1]:

Sum:              60
Product:          46189
Arithmetic Mean:  15.0
Geometric Mean:   14.66

Problem 2: Calculating Bill

In [2]:

ss_cost = 3.95*2
hb_cost = 8.95*2
ds_cost = 2.50*2

subtotal = ss_cost + hb_cost + ds_cost

tax = round(subtotal * 0.0475,2)
tip = round(subtotal * 0.15,2)

total_charge = subtotal + tax + tip

print(f"2 Side Salads:\t${ss_cost:5.2f}")
print(f"2 Hamburgers:\t${hb_cost:5.2f}")
print(f"2 Diet Sodas:\t${ds_cost:5.2f}")
print("----------------------")
print(f"Subtotal:\t${subtotal:5.2f}")
print(f"Tax (4.75%):\t${tax:5.2f}")
print(f"Tip (15%):\t${tip:5.2f}")
print("----------------------")
print(f"Total Charge:\t${total_charge:5.2f}")

Out[2]:

2 Side Salads:	$ 7.90
2 Hamburgers:	$17.90
2 Diet Sodas:	$ 5.00
----------------------
Subtotal:	$30.80
Tax (4.75%):	$ 1.46
Tip (15%):	$ 4.62
----------------------
Total Charge:	$36.88

Problem 3: Volume of a Sphere

In [3]:

def findVolume(r):
    pi = 3.14519 #pi
    v = (4/3)*pi*r*r*r
    return v

r1, r2, r3 = 4.6, 7.2, 9.7
ans = findVolume(r1)
print("The volume of a sphere with radius",r1,"is equal to ",round(ans,3))
ans = findVolume(r2)
print("The volume of a sphere with radius",r2,"is equal to ",round(ans,3))
ans = findVolume(r3)
print("The volume of a sphere with radius",r3,"is equal to ",round(ans,3))

Out[3]:

The volume of a sphere with radius 4.6 is equal to  408.187
The volume of a sphere with radius 7.2 is equal to  1565.248
The volume of a sphere with radius 9.7 is equal to  3827.373

Problem 4: Simple Interest

In [4]:

p = 210
i = 0.09
t = 10/12
A = p * (1 + i * t)
print("Amount repaid: ${:.2f}".format(A))

Out[4]:

Amount repaid: $225.75

Problem 5: Compound Interest

In [5]:

P = 400
i = 0.05
t = 3

A = p * (1 + i * t)

print("Amount repaid: ${:.2f}".format(A))

Out[5]:

Amount repaid: $241.50

Problem 6: Annuity

In [6]:

PMT = 2000
i = 0.04
n = 18
k = (1 + i) **n
j = (k - 1) / i
A = PMT * j
txt="Balance after 18 years: ${G:.2f}"
print(txt.format(G = A))

Out[6]:

Balance after 18 years: $51290.83

Problem 7: Probability

In [7]:

prob_A = 0.6
prob_B = 0.3
prob_A_and_B = prob_A * prob_B
prob_A_or_B = (prob_A + prob_B - prob_A_and_B)

print("Probability that both people are late:        ", prob_A_and_B)
print("Probability that at least one person is late: ", prob_A_or_B)

Out[7]:

Probability that both people are late:         0.18
Probability that at least one person is late:  0.72

Problem 8: Constucting an Output Message

In [8]:

first = " first"
last = "   last"
sid = "  1234"
msg = f"First Name:{first}\nLast Name:{last}\nStudent ID:{sid}"
print(msg)

Out[8]:

First Name: first
Last Name:   last
Student ID:  1234

In [9]:

print(len(msg))
print(len(msg)-3)

Out[9]:

53
50