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MArishka [77]
3 years ago
9

Steven wants to buy a $520 bicycle steven has no money saved but will be able to deposit $45 into a savings account when he rece

ives his paycheck each friday however before steven can buy a bike he must give his sister $65 that he owes her for how many weeks will steven need to deposit money into his savings account before he can pay back his sister and buy the bike ?
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

13 weeks.

Step-by-step explanation:

First, you want to take out the numbers stated in the question. In this case, you would take out the information that he needs $520 for the bike, $65 to pay his sister back, and he is able to save $45 once a week.

Next, you want to add $520 and $65, so you know how much money in total he needs to save.

Lastly, once you get your total you want to divide that by his weekly pay which leaves you with 13 weeks to save up to buy a bike and pay his sister back.

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Answer:

The answer to your question is h = 125.85 ft = 126 ft

Step-by-step explanation:

Process

1.- Determine two equations to solve the problem

    tan 14 = \frac{h}{x}                     (1)

    tan 47 = \frac{h}{x - 386}           (2)

    from (1)                           h = xtan14

    substitute in (2)             tan 47 = \frac{xtan14}{x - 386}

    solve for x                     tan47(x - 386) = xtan14

                                          1.07x - 413.9 = 0.25x

                                          1.07x - 0.25x = 413.9

                                           0.82x = 413.9

                                           x = 413.9/0.82

                                           x = 504.76 ft

2.- Calculate h

                                          h = 504.76 tan 14

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Step-by-step explanation:

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