Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (after a year). However, the second account suffered a 2% loss in the same time period. At the end of one year, the total amount of money gained was $930.00. How much was invested into each account? was invested in the account that gained 13% and $ was invested in the account that lost 2%.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1-Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (after a year). However, the second account suffered a 2% loss in the same time period. At the end of one year, the total amount of money gained was $930.00. How much was invested into each account?

was invested in the account that gained 13% and
$ was invested in the account that lost 2%.

 

2-The Nutty Professor sells cashews for $7.40 per pound and Brazil nuts for $4.30 per pound. How much of each type should be used to make a 46 pound mixture that sells for $5.98 per pound?



Round answers to the nearest pound.



 pounds of cashews
 pounds of Brazil nuts

 

3-Taylor invests $7000 in two different accounts. The first account paid 8 %, the second account paid 14 % in interest. At the end of the first year he had earned $632 in interest. How much was in each account?

$  at 8 %

$  at 14 %

 

4- If 95 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.5 and total receipts for the concert was $197.5, how many of each went to the concert?

 adults

 children

 

5--A bank loaned out $17,500, part of it at the rate of 8% annual interest, and the rest at 6% annual interest. The total interest earned for both loans was $1,320.00. How much was loaned at each rate?

$ was loaned at 8% and
$ was loaned at 6%.

 

 

 

6-In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weighed the chain, its mass was 71.5 grams.

I believe the chain is solid metal (not gold plated), but is probably a blend of gold and other metals. I looked up that gold has a density of 19.3 g/ml, while the other metals like silver and copper usually blended with gold have a combined density of about 9.7 g/ml.

Determine what percentage of the chain is gold, by mass, to at least 1 decimal place?

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