Because of heavy spring runoff, the shoreline of a lake increased from 4.3 miles
ID: 2904357 • Letter: B
Question
Because of heavy spring runoff, the shoreline of a lake increased from 4.3 miles to 10.9 miles. What was the percent of increase in the shoreline? Round answer to the nearest percent, if necessary. The sticker price of a really cool belt buckle is $499.00, however, for a limited time only, it is on sale for 35% off of the sticker price. If the sales tax rate is 8.75%, then how much will Ms. Tones pay for the belt buckle? Clearly Form an equation and solve it to answer the next problem. Please clearly define the variable. Ms. Torres hired a caterer to make some tacos for a family gathering. The caterer charges $14.50 for his personal costs and then 5 cents for each taco he makes. If the caterer charged $28.75 for his services, then how many tacos did he make? Write your answer in a complete sentence.Explanation / Answer
Initial = 4.3
Final = 10.9
% increase = (final - initial) / (initial ) * 100
= (10.9 - 4.3) / (4.3) * 100
= 153.488 % increase
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35% off.
So, Mrs. T will only pay 65% of the price.
Amt paid by T = 0.65 * 499 = 324.35 dollars
Sales tax is always charged on reduced price
So, 8.75 % of 324.35 becomes 28.38 dollars of tax
Total amt paid by Mrs. T = 324.35 + 28.38
= 352.73 dollars
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Number of tacosx = x
5 cents per taco
So, for x tacos, he charges 5x cents
or 0.05x dollars
Total charge = 0.05x + 14.50
Now, the equation is :
0.05x + 14.50 = 28.75
0.05x = 14.25
x = 285
So, he makes 285 tacos