Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410

Answers

Answer 1

Answer:

amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 10%.

Then the amount invested in stock that suffered 3% loss is 28,000 - x.

The profit from investment in funds is 10%x

The loss from investment in stock is 3%(28,000 - x).

The net profit is 10%x - 3%(28,000 - x).

As the net profit given in the problem is $2410, we have:

10%x - 3%(28,000 - x) = 2410

Solving for x, we have:

10x - 3(28,000 - x) = 241000 (multiply both sides by 100)

10x - 84000 + 3x = 241000

13x = 241000+84000

13x = 325000

x = 325000/13

x = 25,000

So

the amount invested in funds that earned 10% is $25,000.

the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.


Related Questions

What represents the inverse of the function f(x)=4x?

Answers

Answer:

Dear user,

Answer to your query is provided below

The inverse of the function f(x)=4x is y=(x/4)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4x becomes x=4y.

Now, solve the equation x=4y for y.

y=(x/4)

In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?

Answers

Answer:

100 : 20 : 60 Making the total number of cookies 180

Step-by-step explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]

So, if we plug in 60 for butter cookies we will have something like this:

[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60

Solving:

[tex](5/3b) : (1/3b) : b[/tex]

[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.

Please help me will mark brainliest

Answers

Answer:

-10

Step-by-step explanation:

If 2x + y = 32 and 3x + 4y =68 find the value of x/y

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Find the slope of the line y=5x+4

Answers

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

Need help with this question plz

Answers

Answer:

28.26 inches

Step-by-step explanation:

The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26

What is the slope of the line shown?

Answers

Answer:1/2 slope

Step-by-step explanation:

Answer: -2

Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.

Find the lowest common multiple (LCM) of 6, 10 and 14. *
2 points
A. 30
B. 140
C. 210
D. 280

Answers

Answer:

C. 210

Step-by-step explanation:

Plugging it in directly

30/14=2.14 (not an integer)

140/6=23.33 (not an integer)

210/6=35

210/10=21

210/14=15

all of the above result in integers, so the answer is C.

D is not even checked because it is larger than 210

Two options:

First option - list everything (waste time)

6, 10, and 14

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210

Second option - divide each option by the numbers to see if a whole number is the outcome.

30 / 6 = 5
30 / 10 = 3
30 / 14 = 2.14...

140 / 6 = 23.33...

210 / 6 = 35
210 / 10 = 21
210 / 14 = 15

Answer = C. 210

what are the coefficients in the polynomial 7x^2-4x+6?

Answers

Answer:

7 and -4

Step-by-step explanation:

Coefficients are the number before the variables.  Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable.  That makes 7 and -4 the coefficients.

Thank you so much!!!

Answers

Answer:

[tex]\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}[/tex]

Step-by-step explanation:

(1) A typical form of equation of a line is:

[tex]y = Mx + b[/tex]

with, [tex]M[/tex] is slope and [tex]b[/tex] is y-intercept.

(2) Another straight line has equation in form of:

[tex]y = Nx + c[/tex]

with [tex]N[/tex] is slope and [tex]c[/tex] is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

[tex]M[/tex] x [tex]N[/tex] = -1

(4) Transform the given equation of original line into typical form:

      [tex]7x + 4y = -24\\[/tex]

<=> [tex]4y = -7x - 24[/tex]

<=>  [tex]y = (\frac{-7}{4})x - \frac{24}{4}[/tex]

<=> [tex]y = (\frac{-7}{4})x - 6[/tex]

=> [tex]M = \frac{-7}{4}[/tex]

=> [tex]N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}[/tex]

=> Option D: [tex]y = (\frac{4}{7})x + 8[/tex] is correct (Slope = [tex]\frac{4}{7}[/tex])

Hope this helps!

:)

This is the formula for the
area of a triangle. Solve the
equation for height, A

Answers

Answer: 2A/base = Height

Step-by-step explanation:

[tex]A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height[/tex]

M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answers

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

i would appreciate if you do a step by step work pls !!

Answers

Answer:

A. 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cos 60° = y / 4[tex]\sqrt{3}[/tex]

cos 60° = 1/2

y = 2[tex]\sqrt{3}[/tex]

Hi can any one please help me In math please I don’t know any thing of it

Answers

Answer:

Step-by-step explanation:

volume=area of base×height

area= length×witgh

a)

a=5×4

a=20

v=20×10

v=200 sq. cen.

b)

lol idk how to explain this one

a=153

v=153×16

v=2448 sq. cm.

c)

V = 1/3AH

a= 15×15

a=225

v=1/3 225 17

v=1/3 3825

v=1275 sq. cm.

im to tired to do the rest but i hope i helped with what i did

also that took a long time can i plz get brainilest?

Answer:

a=l times w

Step-by-step explanation:

give her brainilest. that’s why i answered some she can get brainilest

You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?

Answers

Answer:

-10 because you lost twice more than you won.

Hope this helps!

first is brainliest 0~0

Answers

Answer:

65.60

Step-by-step explanation:

First find the markdown

markdown = original price times the percent markdown

                  = 80* 18%

                  = 80 * .18

                     14.4

Take the markdown from the original price to find the retail price

80-14.4 =65.60

Please help! Correct answer only please! I need to finish this assignment by today.

At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?

Simplify your answer and write it as a fraction or whole number.

P(green) =

Answers

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

Answers

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

--------------------

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

--------------------

0x -8y = 6

= - 8y = 6

Hope this helps!

Which point is between points c and e

Answers

Answer:

the answer is D

Step-by-step explanation:

Please look at photo and solve for y

Answers

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

[tex]answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps[/tex]

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

Can some one please do this question?

Answers

Answer: a number added to three then reduced by 2

Step-by-step explanation:

3+1= 4

4-2=2

7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)​

Answers

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

I WILL GIVE YOU BRAINLIEST!!!!!

Answers

Answer: C

Step-by-step explanation:

If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)

Answer:

c

Step-by-step explanation:

When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:

[tex](-4)^{2}[/tex]

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

Answers

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

What is the largest possible value
could take given that it must be an integer?
x<5

Answers

An integer is a whole number, so 4 is the answer. This is because it is only less than, not less than or equal too.

27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?​

Answers

Answer:

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag  be represented by x and frequency be represented by f

The table is as follows

x   F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?​

Represent the number of sweets in the 10th bag by y;

The table becomes

x   F

39 1

40 2

41 5

42 0

43 1

y   1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f =  10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

[tex]42 = \frac{367 + y}{10}[/tex]

Multiply both sides by 10

[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]

[tex]420 = 367 + y[/tex]

Subtract 367 from both sides

[tex]420 - 367= 367 -367 + y[/tex]

[tex]53 = y[/tex]

[tex]y = 53[/tex]

Hence, the number of sweets in the 10th bag is 53

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]

Step 4 - Simplify the above expression.

[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]

So, the total number of sweets in the 10th bag is 53.

For more information, refer to the link given below:

https://brainly.com/question/521501

what is a geometric pattern

Answers

Here's the definition DescriptionA pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

Answer:

A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

Step-by-step explanation:

Explain the meaning of “net” drawing. Provide an example.

Answers

The net of a 3D figure is the 2D surface area all laid out flat. One example would be that you have a box and you unwrapped the wrapping paper, placing it all flat on the table. By "placing it flat", I mean there are no portions that overlap. A 2D net is useful to help see that surface area is really just area. Specifically, surface area is the total area of each face of the 3D polyhedron.

if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).

Answers

Answer:

A = 57,600 feet

Step-by-step explanation:

Area = length x width

A = 360 x 160

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