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
Nadya [2.5K]
3 years ago
10

A stockbroker has money in three accounts. The interest rates on the three accounts are 10 % 10%, 11 % 11%, and 12 % 12%. If she

has twice as much money invested at 11 % 11% as she does in 10 % 10%, three times as much at 12 % 12% as she has at 10 % 10%, and the total interest for the year is $ 136 $136, how much is invested at each rate?
Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer: he invested $200 at 10%, $400 at 11% and $600 at 12%

Step-by-step explanation:

Let x represent the amount invested in the account earning 10% interest.

Let y represent the amount invested in the account earning 11% interest.

Let z represent the amount invested in the account earning 12% interest.

If she has twice as much money invested at 11 % as she does in 10 %, it means that

y = 2x

If she has three times as much at

12 % as she has at 10 %, it means that

z = 3x

The interest from the first account is

x × 0.1 × 1 = 0.1x

The interest from the second account is

y × 0.11 × 1 = 0.11y

The interest from the third account is

z × 0.12 × 1 = 0.12z

If the total interest for the year is $136, it means that

0.1x + 0.11y + 0.12z = 136 - - - - - - - - 1

Substituting y = 2x and z = 3x into equation 1, it becomes

0.1x + 0.11(2x) + 0.12(3x) = 136

0.1x + 0.22x + 0.36x = 136

0.68x = 136

x = 136/0.68 = 200

y = 2x = 2 × 200

y = $400

z = 3x = 3 × 200

z = $600

You might be interested in
Yo got an easy questioin for u guys why does canvas suck so much?
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

No esay but they just do

4 0
3 years ago
Read 2 more answers
HELP!!!! I need help
ahrayia [7]

Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.

3 0
2 years ago
Given the graph of a function f. Identify the function by name. Then Graph, state domain & range in set notation:A) f(x) +2B
WARRIOR [948]

The function in the graph has the name of square function.

The domain of a function is all values of x the function can have. The domain of this function is all real numbers:

\mleft\lbrace x\in\R\mright\rbrace

The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:

\mleft\lbrace y\in\R\mright|y\ge0\}

In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:

(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ 2}

Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:

(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ -2}

4 0
10 months ago
The perimeter of a rectangle is 84 Centimeters. the length is twice the width. find the length and width
KatRina [158]
Length= 28
Width= 14

Work:

2(2x)+2(x)=84
4x+2x=84
6x=84
x=14

14x2=28 (length)
6 0
2 years ago
Write three expressions that are equivalent to 2^6
aleksandr82 [10.1K]

Answer:

well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct

4 0
3 years ago
Other questions:
  • Which of the following would eliminate the variable on the left side of the given equation? 36 - 19w = -6w + 41.  1. add -19w  2
    10·1 answer
  • Triunghiul si elementele lui<br> Geometrie Clasa a -7 ex.11 p.154
    11·1 answer
  • Please help! <br><br> Solve for M.<br> R=9/5M+21
    7·1 answer
  • You have a pizza with diameter 12
    7·2 answers
  • Find the measure of e. (Please explain how you got your answer thanks!)
    11·1 answer
  • The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar
    12·1 answer
  • A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits insid
    15·1 answer
  • What is the fraction of 44 out of 160?
    7·1 answer
  • Please help solve for correct answer​
    6·1 answer
  • What is<br> A?<br> Write your answer as a fraction.<br> Submit
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!