Katy3613
21.11.2019 •
Mathematics
Lisa invests $4,000 in two types of bonds, bond a and bond b. bond a offers a 10% return, and bond b offers a 6% return. lisa invests $x in bond a and $y in bond b. her total return on the investment is $340. the system of linear equations defining the situation is x+y=4,000 and .1x=.06y=340. the amount lisa invested at the rate of 10% is , and the amount she invested at the rate of 6% is .
Solved
Show answers
More tips
- G Goods and services How to Choose a Video Camera: Tips from Professionals...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- H Health and Medicine Novomin: What is it and how to use it?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Where are the solutions of the equations (x^2+3)^2 + 21 = 10x^2 + 30 ?...
- M Mathematics Kitchen chairs are purchased wholesale for $36 by a discount furniture store. then, the store marks up the chairs by 60 percent. the store has a special sale where all items...
- E English Which sentence explains what most influenced Roosevelt to collect trinkets as an adult?...
- M Mathematics Plzzzz HELP A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. Let w = quarts of water left in the tub and t = time in minutes. A 2-column table...
- M Mathematics Which statement describes the transformation that would map triangle M to triangle N on this grid answer choicesA. (X, Y) → (-X + 5, -Y)B. (X, Y) → (-X + 5, Y)C. (X, Y) →...
Ответ:
Ответ:
3/4 and -3/4
or
0.75 and -0.75
but there is no solution for
10 times the smaller number added to 6 times the larger number to get 3 as result.
the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).
therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).
it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.
Step-by-step explanation:
x + y = 0
10×x + 6×y = 3
=>
x = -y
10×(-y) + 6×y = 3
-10y + 6y = 3
-4y = 3
y = -3/4
=>
x = -y = -(-3/4) = 3/4
control :
10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3
12/4 = 3
3 = 3
correct