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Leokris [45]
1 year ago
12

Cole owns a corner store that resells pastries from a local bakery. The table below shows the costs charged for a week of orderi

ng pastries. Cost of Order E Pastries Ordered 28 41 38 34 50 45 1.55(28) + 18.25 1.55(41) + 18.25 1.55(38) + 18.25 1.55(34) + 18.25 1.55(50) + 18.25 1.55(45) + 18.25 1.55(27) + 18.25 27 Which of the following BEST explains why the fee charged varies linearly with the number of pastries ordered? O A The bakery charges a fixed base rate of $18.25 per order. OB. The bakery charges a fixed base rate of $19.80 per order. C For each pastry that Cole ordered, the fee increased by a fixed percentage of 1.55%. O D. For each pastry Cole ordered, the cost of the order increased by a fixed amount of $1.55. Tung horn to coarch 3:45 PM
Mathematics
1 answer:
chubhunter [2.5K]1 year ago
5 0

Let:

x = Pastries ordered

y = Cost of order

y=1.55x+18.25

For each pastry Cole ordered, the cost of the order increased by a fixed amount of $1.55

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Hello!

To find the amount of years it will take for Tina's account to reach $11,900, we need to first, write an equation, then we would solve for the amount of years it would take using logarithms.

1. Write an equation

Since this question is a compound interest problem, we would write the equation in a format like this: y = a(1 + n)^x.

In this equation, y is the final value, a is the beginning value, n is the interest rate, and x is the amount of years. Since we are given the values of y, a, and n, we can substitute those values into the equation.

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Notice that 6.25% was converted to 0.0625. To convert percentages to a decimal, divide the percent by 100.

2. Solve for x using logarithms

11900 = 1200(1.0625)^x (divide by 1200 to both sides)

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log 11900/1200 = x log 1.0625 (divide both sides by log 1.0625)

log 11900/1200 / log 1.0625 = x

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This can be rounded to about 37.84 years.

Therefore, it will take about 37.84 years for Tina's account to reach 11,900 dollars.

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