Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
1) From the information given,
P = cost of gym = $2200
R = 6%
T = 3 years
I = (2200 × 6 × 3)/100 = $395
The total amount that he would pay after 3 years is
2200 + 395 = $2596
If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is
80 × 36 = 2880
Therefore, paying for the gym would cost more. He should take the loan.
2) if she takes the loan, the interest would be
I = (18000 × 7.5 × 5)/100 = $6750
The total amount that she would pay back after 5 years is
6750 + 18000 = $24750
Since the value that would be added to her house is $25000, therefore, she should buy it.
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
(-4c² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time 
At 
After seconds, the weight of the bucket is 
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after seconds is 
Since the well is 80 ft deep, the time to pull out the bucket is 
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
Use and 
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