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Dovator [93]
1 year ago
10

MODELING REAL LIFE You purchase a car from a dealership for $10,000. The trade-in value of the car each year after the purchase

is given by the function f(x) = 10.000 - 1250x, where x is the number of years after the purchase. Identify the function family to which f belongs.​
Mathematics
1 answer:
Crazy boy [7]1 year ago
4 0

Answer:7500

Step-by-step explanation:

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Lucy have $6400 if she invests<br> $1200 at 15% interest<br> compounded quarterly?
svet-max [94.6K]

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

8 0
3 years ago
Determine the distance between -1 and -7.
Andrei [34K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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A vertical pole is supported by a wire that is 26 feet long. If the wire is attached to the ground 24 feet away from the base of
Andrei [34K]

The answer is in the attachment

8 0
3 years ago
At a movie theatre adult tickets cost $10 and child ticjets cost $6. Which equation can be used to find s, the number of dollars
timurjin [86]

Answer:

s = 10k + 30

Step-by-step explanation:

Cost of Adults ticket = $10 per adult

Cost of Ticket = $6 per child

Number of adults = k

Number of Children = 5

s = Total cost

Total cost = (Cost per adult * number of adults) + (Cost per child * Number of children)

s = ($10 * k) + ($6 * 5)

s = $10k + $30

s = 10k + 30

4 0
3 years ago
How do you calculate this?
Dmitry_Shevchenko [17]

d = 5.6t {}^{2}  \\ 1814.4 = 5.6 \times t {}^{2}  \\ t {}^{2}  = 1814.4 \div 5.6 \\ t {}^{2}  = 324 \\ t =  \sqrt{324}  \\ t = 18
7 0
3 years ago
Read 2 more answers
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