2 hours = 60*2 = 120 minutes
120/120 = 1
Margie handed out 1 flyer every minute
Jaxon handed 18/15 = 1.2 flyers per minute
Jaxon is faster then Margie
Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
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Answer:
21428.57
Step-by-step explanation:
Steps to solve "7500 is 35 percent of what number?" We have, 35% × x = 7500 or, 35 100 × x = 7500 Multiplying both sides by 100 and dividing both sides by 35, we have x = 7500 × 100 35 x = 21428.57 If you are using a calculator, simply enter 7500×100÷35, which will give you the answer.
The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 5
Putting x=15 in Eqn 2
The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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Answer:
6.66%
Step-by-step explanation:
((1 + r/m)^n) - 1
Interest rate , r = 6.5%
m = number of compounding times per period = 4 (quarterly interest)
((1 + 0.065/4)^4) - 1
((1 + 0.01625) ^4) - 1
((1.01625)^4) - 1
1.06660 - 1
= 0.0666
0.0666 * 100%
= 6.66%
