Personal Finance
Abbey is an artist who makes $180 for each large portrait and $100 for each small portrait. How much will she make if she sells 13 large and 28 small portraits?
180 x 13 = $2340
100 x 28 = $2800
2340 + 2800 = $5140
If a store marked a TV on discount of 24% from $360. How much is the TV discounted?
Discount = (r/100) x original price
D = (24/100) x 360
D = $86.40
Find the perimeter of a rectangle that has a length on 7.9cm and a width of 3.3cm.
P = 2L + 2W
P = (2 x 7.9) + (2 x 3.3)
P = 22.4cm
Solve the equation
13 = 13r - 11
13 + 11 = 13r - 11 + 11
24 = 3r
24/3 = 3r/3
8 = r
If 23 people are in the same room, what is the chance that two people will have the same birthday?
There is a 50% chance two people would have the same birthday
Mia is a casual employee who worked 8 hours at normal pay rates and 2 hours at time-and-a-half. Her normal rate of pay is $12.30 per hour. What is her pay for this time?
8hr x $12.30 = $98.40
2hr x ($12.30 x 1.5) = $36.90
98.40 + 36.90 = $135.30
Kaylee has 1023 shares in an Art Gallery. The Gallery has recently paid a dividend of 83 cents per share.
How much does Kaylee receive in dividends total?
Total Dividend = number of shares x dividend per share
= 1023 x 0.83 = $849.09
Kaylee receives a dividends total of $849.09
A right angled triangle has a hypotenuse length of 20cm and another side length of 16cm. What is the length of the remaining side?
c2 = a2 + b2
a = square root (c2 - b2)
a = square root (202 - 162)
a = 12cm
State the y-intercept and the slope of:
y = 4x + 1
y-intercept = 1
slope = 4
What is the third decimal point in pi?
1
--> 3.14159....
Stacy is a salesperson. She is paid $26,000 per year plus commission of 1% of all sales she makes. Last week she sold $64,900 worth of goods. How much did she earn that week?
26000/52 = $500 per week
69400 x (1/100) = $649 of commission
500 + 649 = $1149 earning that week
A sum of $8000 was invested in a fixed term account for 3 years paying a simple interest rate of 7.5% per annum. Calculate the total amount of interest earned after the 3 years.
P = $8000 r = 7.5% t = 3 years
I = Prt/100
I = (8000 x 7.5 x 3) / 100
I = $1800
Calculate the area of a triangle with a base of 14.2cm and a height of 7cm
Area of a triangle = 1/2 bh
A = 1/2 x (14.2 x 7)
A = 49.7cm2
Solve the following linear equation:
2(y-1) = 6
2(y-1) / 2 = 6 / 2
y - 1 = 3
y - 1 + 1 = 3 + 1
y = 4
What is the roman numeral for 16?
XVI
A car uses 45 liters of petrol to travel 495km. Under the same driving conditions, how far could the car travel on 50L on petrol?
(45/45) L for (495/45) km
1L for 11km
So 50L is equal to 11 x 50km = 550km
Therefore, the car could travel 550km on 50L of fuel
Suppose that inflation was recorded as 3.7% in 2020. At the end of 2019 a magazine costs $3.50. Assuming that the price increases with inflation.
What was the price of the magazine at the end of 2020?
Price = $3.50 + ($3.50 x (3.7/100))
Price = $3.50 + 0.1295 = 3.6295
Price at the end of 2020 of the same magazine would be $3.63
The radius of the base of a cylinder is 4cm and its height is 12cm. Calculate the volume of the cylinder in cm3
Volume of a cylinder = πr2h
V = π x 42 x 12
V = 603.19cm3
Balloons cost 50cents each and streamers cost 20cents each.
Construct a formula and find the cost for 25 balloons and 20 streamers.
C = 0.5b + 0.2s
C = (0.5 x 25) + (0.2 x 20)
C = 12.5 + 4
C = 16.5
In Asia, what number is considered unlucky?
(hint: between 1 and 20)
4
On a particular day, $850 AUD could be exchanged to $581.40 USD. How many USD would be exchanged for $480 AUD?
$1 AUD = 581.40/850 USD
$1 AUD = 0.684 USD
$480 AUD = 480 x 0.684 USD
$450 AUD = $328.32 USD
An amount of $7000 is invested at 8% compound interest per annum for 4 years. Determine the final value of this investment.
A = P(1+ r/100)t
A = 7000 (1 + 8/100)4
A = $9523.42
A rectangular prism has length 10cm and width 5cm and height 2cm. Calculate the surface area of the object.
surface area = 2(WL + HL + HW)
SA = 2(50 + 20 + 10)
SA = 160cm 2
The cost for a buffet is $30 for food plus $5 per drink. Ellie paid $50 all together. Write an equation and solve for how many drinks ellie brought.
B = 30 + 5n
50 = 30 + 5n
50 - 30 = 30 + 5n - 30
20 = 5n
20/5 = 5n/5
4 = n
The fastest record for a person counting to 1 million is _ _ days?
89 days