Solved on Nov 14, 2023

The next sports car model will cost 11.3% less than the current $59,000\$ 59,000 model. Find the price decrease and the next model's price.

STEP 1

Assumptions1. The current model of the sports car costs $59,000. . The next model of the sports car will cost11.3% less than the current model.

STEP 2

First, we need to find the decrease in price. We can do this by multiplying the cost of the current model by the percentage decrease.
Decreaseinprice=CurrentmodelcosttimesPercentagedecreaseDecrease\, in\, price = Current\, model\, cost \\times Percentage\, decrease

STEP 3

Now, plug in the given values for the current model cost and percentage decrease to calculate the decrease in price.
Decreaseinprice=$59,000times11.3%Decrease\, in\, price = \$59,000 \\times11.3\%

STEP 4

Convert the percentage to a decimal value.
11.3%=0.11311.3\% =0.113Decreaseinprice=$59,000times0.113Decrease\, in\, price = \$59,000 \\times0.113

STEP 5

Calculate the decrease in price.
Decreaseinprice=$59,000times0.113=$,667Decrease\, in\, price = \$59,000 \\times0.113 = \$,667

STEP 6

Now that we have the decrease in price, we can find the cost of the next model. This is done by subtracting the decrease in price from the cost of the current model.
Nextmodelcost=CurrentmodelcostDecreaseinpriceNext\, model\, cost = Current\, model\, cost - Decrease\, in\, price

STEP 7

Plug in the values for the current model cost and the decrease in price to calculate the next model cost.
Nextmodelcost=$59,000$6,667Next\, model\, cost = \$59,000 - \$6,667

STEP 8

Calculate the cost of the next model.
Nextmodelcost=$59,000$6,667=$52,333Next\, model\, cost = \$59,000 - \$6,667 = \$52,333The price will decrease by 6,667andthenextmodelwillcost6,667 and the next model will cost 52,333.

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