Tuition for one year at a state university is about $30,000. Nyella would like to attend this university and will save money each month for the next 3 years. Her parents will give her $12,500 for her first year of tuition. What plan shows the minimum amount of money Nyella must save to have enough money to her first year of tuition?
Responses
A Save $833.33 per month for 3 yearsSave $833.33 per month for 3 years
B Save $486.11 per month for 3 yearsSave $486.11 per month for 3 years
C Save $1,180.56 per month for 3 yearsSave $1,180.56 per month for 3 years
D Save $364.58 per month for 3 years
The total amount Nyella needs to save is $30,000 - $12,500 = $17,500.
The amount she needs to save per month is $17,500 / 36 months = $486.11.
Therefore, the answer is B. Save $486.11 per month for 3 years.
Leigh Ann is designing a wrapper for a new dark chocolate candy bar that her company is going to sell. The candy bar is a triangular prism. The dimensions of the candy bar are shown in the diagram.
Which measurement is closest to the total surface area of the candy bar in square centimeters?
Responses
A 232.20 cm2232.20 cm 2
B 197.01 cm2197.01 cm 2
C 265.32 cm2265.32 cm 2
D 174.19 cm2
To find the total surface area of the candy bar, we need to calculate the area of each of the faces and then sum them up.
The front and back faces are congruent triangles with base 12 cm and height 10 cm. The area of one triangle is (1/2) * base * height = (1/2) * 12 cm * 10 cm = 60 cm^2. So, the area of both triangles is 2 * 60 cm^2 = 120 cm^2.
The top and bottom faces are congruent triangles with base 12 cm and height 8 cm. The area of one triangle is (1/2) * base * height = (1/2) * 12 cm * 8 cm = 48 cm^2. So, the area of both triangles is 2 * 48 cm^2 = 96 cm^2.
The two side faces are rectangles with dimensions 10 cm by 8 cm. The area of one rectangle is length * width = 10 cm * 8 cm = 80 cm^2. So, the area of both rectangles is 2 * 80 cm^2 = 160 cm^2.
Therefore, the total surface area of the candy bar is 120 cm^2 + 96 cm^2 + 160 cm^2 = 376 cm^2.
None of the given options are close to 376 cm^2, so it seems that there may be a mistake in the question or in the options presented.