1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shalnov [3]
3 years ago
13

Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market

fund paying 9%. The annual interest from the three accounts is $860, and she has 2 times as much invested in the bond as in the savings account. What amount does she have invested in each account?

Mathematics
2 answers:
NeX [460]3 years ago
6 0

Answer:

She invested $2000 in the savings account,

$4000 in the bond account AND

$6000 in the Money market fund

Step-by-step explanation:

Please refer to the attached image for explanations

xenn [34]3 years ago
3 0

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

You might be interested in
Jay rides his bike 634 miles in 13 hour. What is his average speed?Jay rides his bike 634 miles in 13 hour. What is his average
antiseptic1488 [7]

His average speed is 634/13 = 48,77 miles/hour. Well, he's fast :D

4 0
3 years ago
Read 2 more answers
∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°. What is the measure of ​ ∠1 ​? Enter your answer in the box. °
kirza4 [7]
The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>
6 0
3 years ago
Read 2 more answers
Simplify 9x + 18(2x - 6) + 13
Aliun [14]

Answer:

45x-95

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of
Amiraneli [1.4K]

The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:

<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2

We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so

864 = (<em>b</em>₁ + 30) 24 / 2

864 = (<em>b</em>₁ + 30) 12

864 = (<em>b</em>₁ + 30) 12

72 = <em>b</em>₁ + 30

<em>b</em>₁ = 42

5 0
3 years ago
last year the hiking club had 19 members. this year there are 37 members in the club. estimate the percetnage change in the numb
Mama L [17]
About 190% because its almost two times the original number

I hope that answers your question
7 0
2 years ago
Other questions:
  • Which stands for 250 feet below sea level?
    13·1 answer
  • On a piece of paper, show how to find the slope between these two points: (-1,5) and (3,13). Show all of your work and simplify
    12·1 answer
  • What is the point-slope form of the equation of a
    7·1 answer
  • PLS HELP ILL MARK BRAINLIEST FOR EXPLANATION If the spinner shown below is spun 40 times, predict the number of times the spinne
    8·2 answers
  • Solve: 7 - 5x = -5x - 6x + 7 *<br> 0<br> -6<br> No Solution<br> Infinitely many solutions
    9·1 answer
  • Please someone answer this, “what is the area of triangle ABC?”
    7·1 answer
  • Write six and five hundredths in decimal form.
    11·2 answers
  • Ind 59:
    7·1 answer
  • Evaluate F=9/5C+32 for C = 35 degrees.<br><br> 82<br><br><br> 63<br><br><br> 67<br><br><br> 95
    7·1 answer
  • Joe kept track of how much TV she watched each day for two weeks how many hours did she spend watching TV
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!