Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns 4% interest and Stock B earns 7% interest, and Jim has a total of $32,000 to invest. How much should he invest in each in order to earn $2,000 interest?

Answers

Answer 1

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

[tex]x+y=32000[/tex]        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

[tex]0.04x+0.07y=2000[/tex]           ...(ii)

From (i) and (ii), we get

[tex]0.04x+0.07(32000-x)=2000[/tex]

[tex]0.04x+2240-0.07x=2000[/tex]

[tex]-0.03x=2000-2240[/tex]

[tex]-0.03x=-240[/tex]

Divide both sides by -0.03.

[tex]x=\dfrac{-240}{-0.03}[/tex]

[tex]x=8000[/tex]

Put x=8000 in (i).

[tex]8000+y=32000[/tex]  

[tex]y=32000-8000[/tex]  

[tex]y=24000[/tex]  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.


Related Questions

The graph models a weight bobbing up and down on a spring. How far does the weight travel, going from maximum displacement to minimum displacement?
O2 inches
O4 inches
6 inches
O12 inches​

Answers

Answer: B

4 inches

Step-by-step explanation:

The weight travel from maximum displacement to minimum displacement is 4 inches.

What is Displacement in wave?

The relative shift in a wave's position that occurs when it passes through a medium is referred to as wave displacement.

When a wave oscillates, displacement is the movement of a particle or field relative to its resting location. The amplitude of the wave is a measurement and recording of the largest displacement that has place.

Given:

From the graph we can a wave.

Now, we can see that the Wave is 2 inches in crust and 2 inches in trough.

So, the weight travel from maximum displacement to minimum displacement is

= 2 + 2

= 4 inches.

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A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional. Which equation shows this relationship?

A. h = 70t
B. t=70h
C. h=70 + t
D. t = 70 - h

Answers

B) t = 70 h

A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.

Somebody help me this is on my final and I don’t wanna fail it please somebody help me

Answers

Answer:

D

Step-by-step explanation:

they both equal each other. 5x+7=9x-63

then you would take 70 divided by 4

which equals 17.5

Answer:

A

Step-by-step explanation:

5x + 7 + 9x -63 = 180

     14x - 56 = 180

            + 56    +56

             14x = 236

 divide both sides by 14

           x = 16.85

Write the slope-intercept form of the equation of each line

Answers

Y=Mx+b

Y=Mx+b

Y=Mx+b




Y=Mx+b













find the equation of the line with a slope of -2 that passes through the point (4,-3)​

Answers

Answer:

y = -2(4) -3

Step-by-step explanation:

y = mx + b

m in the equation means slope

x in the equation means x intercept

b in the equation means y intercept

y = -2(4) -3

plz mark brainliest if helpful

Graph 6x=-36 pleaseeeeeeeee helpppppp

Answers

Answer:

6 times 6=36

Step-by-step explanation:

HOPE THIS HELPS

Answer:

x = -6

Step-by-step explanation:

The  graph of 6x = -36:

Transpose to find x

6x = -36

6x/6 = -36/6

x = -6

Therefore the line should cut your graph at -6 on the x-axis (the horizontal one).

See red line of the image attached.

help me, please cause I'm stuck

Answers

Answer:4.03 x 10^4

Step-by-step explanation:

What is the equation of the line in point-slope form?
O y +4 = {(x+4)
O y-4 = 4(x + 4)
Oy-0 = 2(x-4)
Oy -4 = 2(x-0)

Answers

Answer: y + 4 = 1/2 (x + 4)

PLEASE HELP! I WILL MAKE YOU BRAINSTER.
my questions are in the photo i need numbers 1-4.

Answers

Answer:

1.) Addition property

2.) reflective property

3.) Symmetric property

4.) Division property

Step-by-step explanation:

what is 698475.50585057 multiplied by three

Answers

Answer:

2,095,426.517

Step-by-step explanation:

From the question above we are required to find the product of 698475.50585057 and 3

Therefore the product can be calculated as follows

698475.50585057 × 3

= 2,095,426.517

Hence 698475.50585057 multiplied by 3 is 2,095,426.517

h. What is the solution of 3n+ 5 = 26?
Use a table.

Answers

Answer: the answer is n=7 but what table do you want me to use because it does not show us on your question .

Step-by-step explanation:

One car rental company charges $35 for the rental, plus $2 per mile driven. A second rental car company charges $20 for the rental, plus $5 per mile driven. At how many miles will the two companies cost the same?

Answers

Answer:

b

Step-by-step explanation:

For 5 miles will the two companies cost the same.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

One car rental company charges $35 for the rental, plus $2 per mile driven.

A second rental car company charges $20 for the rental, plus $5 per mile driven.

Now,

Let distance for the two companies cost the same is x miles.

Then, for first condition we can formulate;

Total cost for x miles = $35 + $2x

And, For the second condition;

Total cost for x miles = $20 + $5x

So, For distance of the two companies which has cost the same;

$35 + $2x = $20 + $5x

$35 - $20 = $5x - $2x

$15 = $3x

x = 5

Thus, For 5 miles will the two companies cost the same.

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The slopes of lines PQ and P'Q' can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answers

Answer:

100%  (A)

Step-by-step explanation:

I got it right on da test ..believe me Foh

Answer:

Ayo the answer is A, yo!

Step-by-step explanation:

4x+8=7.2+5x solve for x​

Answers

Answer:

[tex]\boxed {x = 0.8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4x + 8 = 7.2 + 5x[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]4x[/tex]:

[tex]4x + 8 - 5x = 7.2 + 5x - 5x[/tex]

[tex]-x + 8 = 7.2[/tex]

-Subtract [tex]8[/tex] to both sides:

[tex]-x + 8 - 8 = 7.2 - 8[/tex]

[tex]-x = -0.8[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-0.8}{-1}[/tex]

[tex]\boxed {x = 0.8}[/tex]

So, the value of [tex]x[/tex] is [tex]0.8[/tex].

The solution of the given expression is x = 0.8.

We are given that;

The expression 4x+8=7.2+5x

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To solve for x, we can use the following steps:

- Subtract 4x from both sides: 4x + 8 = 7.2 + 5x - 4x - 4x

- Simplify: 8 = 7.2 + x

- Subtract 7.2 from both sides: 8 - 7.2 = 7.2 + x - 7.2

- Simplify: 0.8 = x

Therefore, by expression the answer will be x = 0.8.

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Convert 0.04 to a fraction in lowest terms. *

Answers

Answer:

1/25

Step-by-step explanation:

0.04 = 4/100 = 1/25

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

0.04 is equal to [tex]\frac{4}{100}[/tex]. You can simplify this when both the numerator (the top number of the fraction) and the denominator (the bottom number of the fraction) can be divided by the same number. In this case, both numbers can be divided by 4, which would simplify it to its lowest form: [tex]\frac{1}{25}[/tex].

Hope this helps.

I need this ASAP!
Evaluate: (-10) + 30 ÷ 5 x 2(-7 +5)
Will give Brainliest!

Answers

Answer:

-34

Step-by-step explanation:

3)
Find x and y
Helpppp please

Answers

Answer:

x = 20

y = 25

Step-by-step explanation:

Vertical angles are always congruent, that is a theorem.

Set the vertical pairs equal to each other.

182 - 4x = 5x + 2

The lowest of the two coefficients is 4x, so that will be added to both sides.

4x + 5x = 9x

Simplify

9x + 2 = 182

Subtract both sides by 2

9x = 180

Divide by 9

180/9 = 20

x = 20

Plug in the 20 to get the angle measure.

182 - 80 = 102

the vertical pairs are 102 degrees

There is another theorem that sets the two angles outside as congruent.

So set 4y + 2 = 102

Subtract 2

100

Divide 4, which equals 25

y = 25

X=20y=25 I just did it

4x-3=2x+7


HELP PLEASEEE

Answers

Answer:

x = 5

Step-by-step explanation:

Given

4x - 3 = 2x + 7 ( subtract 2x from both sides )

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

x=5

Step-by-step explanation:

you will start by subtracting 2x from 4x then you are left with 2x-3=7. then you will add 3 to 7 that will give you 2x=10, then divide 2 from 10. from there you get x=5.

Help me help me !!!!!

Answers

Answer:

Step-by-step explanation:

what is the measure for the following angle?
AOC​

Answers

Answer:

40 degrees

cuz 40+40=80

−(1/4w+8)+8=3
the 1/4 is a fraction

Answers

Answer:

w = -12

Step-by-step explanation:

-1/4w - 8 + 8 = 3

-1/4w = 3

w = 3 / -1/4

w = 3*4/-1

w = 12/-1

w = -12

Write an equation of the line that passes through the points (-9,-6) and (-8,1)

Answers

Answer:

y= 7x+57

Step-by-step explanation:

Answer:

y+6=7(x+9)

Step-by-step explanation:

Got this off delta math straight off the back! If this was help put a star and press the thanks button!

check 3075 is perfect cube or not

Answers

Answer:

No it's not a perfect cube

Answer:

it's not a perfect cube

Jan's pay is in direct variation to the hours she works. Jan earns $54 for 12 hrs of work. How much will she earn for 18 hrs of work?​

Answers

Answer:

if she works 18 she earns 81 dollars i think

Help me with the lesson performance task please !!!!

Answers

I believe you could write B(p) =100-20p
Where 100 is her starting amount and each payment takes out 20 dollars

Write an equation that you can use to find the number of refills Keith bought. A restaurant sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Keith spent $31.75 on a mug and refills. (use x for your variable and do not use $ in your answer) *

Answers

Answer:

6.75+1.25x=31.75

Step-by-step explanation:  

let x be the number of refils

also given is that the cost of one refill is $1.25

hence the total refil will be 1.25x

given that the cost of a mug is $6.75

6.75+1.25x=31.75

therefore  the expression that can be used to solve for the number of refills is

6.75+1.25x=31.75

 

Katy and Matt are playing a card game.
Katy has 6 cards. Matt has 5 more cards than Katy.
How many cards does Matt have?
cards

Answers

Matt has 11 cards my guy

Answer:

11 cards

Step-by-step explanation:

add them

Determine whether each statement is true or false.

Answers

Answer:

A. True

B. True

C. False

D. False

Step-by-step explanation:

Explain how to identify a starting position on a line.

Answers

Answer:

it depends on the type of line but for a straight line the starting point is always the edge that is A

Helppp pls pls I’ll mark brainlest for the first comment

Answers

Answer:

D. [tex]\frac{10}{12}[/tex]

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The fraction shown on the number line is 3/5. This fraction isn't equal to 10/12.

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