Since Christian sets aside $60 per month for daily coffee, and McDonalds sells coffee for $ 1, and The Bean Sprout sells a cup of coffee for $3, to create an equation that represents the combinations of coffee options that allow Christian to stay in his budget and provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following linear equation must be proposed:
M + BS = 60
2 combinations using the entire budget =
- 15 McDonalds + 15 The Bean Sprout = 15 + 45 = 60
- 30 McDonalds + 10 The Bean Sprout = 30 + 30 = 60
1 combination under budget =
- 15 McDonalds + 10 The Bean Sprout = 15 + 30 = 45
1 combination over budget =
- 30 McDonalds + 30 The Bean Sprout = 30 + 90 = 120
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The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.
Step-by-step explanation:
The given is,
Construction paper cost $0.10 per square inch
Pyramid diagram with dimensions
Step:1
Formula to calculate the area of pyramid,
..............(1)
Where,
l - Base length
w - Base width
h - Height of pyramid
From given,
l = 12 inches
w = 12 inches
For height of pyramid,
By using Pythagorean theorem,
.................(2)
For right angle triangle,
Base =
= 6 inches
Equation (2) becomes,




Height = 5.2915 inches
h - 5.2915 inches
Equation (1) becomes,




≅ 336 square inches
Where,
$0.10 per square inch ( from given)
Paper cost of total figure = 336 square inches
= 336 × 0.10
= $ 33.60
Result:
The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.
Answer:
Ans. you should deposit each month to end up with $38,000 the amount of $533.33 every month for 5 years at a APR of 6.5%
Step-by-step explanation:
Hi, first we have to convert all the data to monthly basis, that is, 5 years (5*12=60 months) and the rate of 6.5% APR offered by the bank (Monthly rate = 0.065/12=0,005666667 or 0.5667% monthly)
With that in mind, we need to solve for "A" the following equation.

Where:
FV = Future value of the car
r = rate of return offered by the bank
n = number of periods that you are going to make the monthly deposit
That is:




Best of luck.