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
bazaltina [42]
3 years ago
11

Question

Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

 interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- <u><em>Equate (1) ans (2)</em></u>

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

You might be interested in
Simplify –3(x + 3) + 4x and do a step by step
natulia [17]

Answer:

x-9

Step-by-step explanation:

-3(x+3)+4x

-3x-9+4x

-3x+4x-9

x-9

7 0
3 years ago
Please help I will award beau l’ovest answer
yuradex [85]

Answer:

Here

Step-by-step explanation:

1. Set B: 20, 18, 7

2. 17, 14, 14

7 0
3 years ago
1Q: i will answer your questions if mark ME Brainleist
crimeas [40]

Answer:

This makes no sense pls repeat the question

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The mass of a chocolate bar is 200 g. A box contains 150 chocolate bars. What is the
Veseljchak [2.6K]

Answer:

30kg

Step-by-step explanation:

mass of 1 Chocolate bar = 200g

Box = 150 chocolate bar

150x200g = 30,000g

1kg =1000g

so 30,000g/1000g x 1kg

= 30kg

4 0
3 years ago
Read 2 more answers
How to find the side length of a triangle when they are 2 angles(i need to find x)
earnstyle [38]
Divide! hope that helps you
8 0
3 years ago
Other questions:
  • Factor the four term polynomial by grouping 2x^2-8xy-9x+36y
    6·2 answers
  • Please answer it now in two minutes
    7·1 answer
  • I need help with #21-26
    5·1 answer
  • Pls help!! if f(x) = 2x^2-4x and g(x)=5-2x, evaluate f(x) - g(x) for x=5
    8·1 answer
  • Multiply n by 5 then add 4
    9·1 answer
  • Algebraic expression for 3 more than x
    11·2 answers
  • HELP ME Please I BEG YOU
    7·1 answer
  • Two lines intersect at point B, which is also the endpoint of two rays.
    15·1 answer
  • (x+2)+10=44 please help​
    10·1 answer
  • Jasmine is 20 years old. Her brother Zac is 6 years more than half her age. Which of the following is the correct expression for
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!