ericavasquez824
09.07.2019 •
Mathematics
Country days scholarship rounds receive a gift of $135000. the money is invested in stock, bonds, and cds. cds pay 2.75% interest, bonds pay 4.5% interest, and stocks pay 10.4% interest. country days invests $7 more in bonds than cds. if the annual income from the investments is $8555, how much was invested in stocks, bonds, and cds?
Solved
Show answers
More tips
- C Computers and Internet IMHO: What is it, why is it important, and how to use it?...
- H Health and Medicine How to Calculate Your Ideal Weight?...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics Can u guys PLEASE ANSWER this question 2 ASAP...
- M Mathematics Question 15 (1 point) The surface area of a sphere varies directly with the square of its radius. A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square...
- M Mathematics Make h the subject of the formula x = 5h + 8...
- M Mathematics Determine o valor numérico de cada expressão algébrica a seguir. Depois marque as respostas 40 43 24 -92 92 61...
- M Mathematics What is 5 devided by 30 and what is 9 devided by 63...
- M Mathematics Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis. 36a+9= 40+50d= 28-7f=...
- M Mathematics If 2x = 10find the value of x...
- M Mathematics Ne- 2020(06-200 Usest lea!...
- M Mathematics Substituindo x por -7 na expressão algébrica do item a) obtemos o valor numérico: a) 21 b) - 21 c) - 7 d) - 16 e) 16...
- M Mathematics If x = 4 and y = -2, the value of 3 xy?...
Ответ:
Step-by-step explanation:
Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:
c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested
0.0275c +.045b +0.104s = 8555 . . . . . total income earned
-c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs
Using the third equation to write an expression for b, we can substitute into the other two equations.
b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b
c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation
2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify
.0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn
.0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify
Using [eq4], we can write an expression for s that can be substituted into [eq5].
s = 65000 -2c . . . . . . . expression we can substitute for s
0.0725c +0.104(65000 -2c) = 5405
-0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify
c = 1355/.1355 = 10,000
s = 65000 -2×10000 = 45,000
b = 70000 +10000 = 80,000
The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.
_____
Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...
Ответ:
2.5477 feet
Step-by-step explanation:
Refer the image attached to understand my solution.
BC = height of lamppost.
DE = Julia
AD = shadow of Julia
BD = 2 feet. AD = 5 feet
BA = BD + AD
= 2 + 5 = 7 feet
In ΔABC
tan 20° =
BC = 7 * tan 20°
BC = 2.5477 feet
SO the height of lamppost = 2.5477 feet