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zlopas [31]
2 years ago
9

Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a

nd Kevin have taken on jobs so they can each earn at least enough money to purchase the tickets?
Philip has a job doing yard work for 6 hours each weekend earning $8.75 for each full hour he works. Philip has already saved $45.
Kevin has a part-time job at a local store working 3 hours per day for 3 days a week. Kevin earns $7.50 per hour.He currently has $30 saved.
Philip and Kevin are disagreeing about who is going to be able to have enough money for the concert the fastest. They also need to decide what is the minimum number of weeks each of them must work to get enough money for the concert tickets.
help Philip and Kevin with their disagreement. be sure to show all of your mathematical thinking to help Philip and Kevin answer their question.
and make sure to do at least two equations for this question or two ways to solve the question?
Mathematics
1 answer:
liubo4ka [24]2 years ago
8 0

Answer:

Kevin will earn the money before than Philip

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

Let's call x to the number of weeks

Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week

Philip has already saved $45. Then he needs the next number of weeks:

52.5*x + 45 = 225

x = (225 - 45)/52.5

x = 3.4

Philip needs at least 4 weeks

Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week

Kevin has already saved $30. Then he needs the next number of weeks:

67.5*x + 30 = 225

x = (225 - 30)/67.5

x = 2.9

Kevin needs at least 3 weeks

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Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

 Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

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3 years ago
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

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Step-by-step explanation:

4.25 inch on map

4.25/0.5 = 8,5

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tiny-mole [99]
I think that one number is 77 and the other is 86. 77 + 9 is 86. 86 +77 is 163.
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