Susan Marciano invested part of her 28,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall profit was 2,920

Answers

Answer 1

a = amount that paid 11% profits

b = amount that lost 5% profits

we know that whatever those values are, a + b = 28000.

how much is 11% of "a"? well, (11/100) * a = 0.11a.

how much is 5% of "b"? well (5/100) * b = 0.05b.

[tex]a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}[/tex]


Related Questions

#20 #21

help would be great im struggling so hard

Answers

Answer:

20: is 34 degrees

21: is 34 degrees as well.

Step-by-step explanation:

Hope this helps! :)

Chris is opening candy store. He is charging $4 for a small box of candy and then $1.25 for each additional box. What is the slope and y-intercept for this situation?

Answers

Answers:

Slope = 1.25

y intercept = 4

Explanation:

The slope is the rate of change. In this case, it's the price of getting an extra box.  

The y intercept is the starting cost assuming that everyone has to get at least one small box of candy.

8j + 5 = 61

Steps to solve

Answers

Answer:

j =7

Step-by-step explanation:

8j + 5 = 61

Subtract 5 from each side

8j + 5-5 = 61-5

8j = 56

Divide each side by 8

8j/8 = 56/8

j = 7

Answer:

J = 7

Step-by-step explanation:

8j + 5 = 61

8j = 61 - 5

8j = 56

8j ÷ 8 = 56 ÷ 8

j = 7

Express your answer to the 3rd sf 304.03 - 189.65

Answers

Answer:

114.4

Step-by-step explanation:

the answer is originally 114.38, but rounding it off makes it 114.4

Answer:

114.38 Is Your Answer

Please Help! I have a math test and can't understand this one!?

Answers

So the answer would be. Stop cheating on my app

What is the solution given the expression
216^2/3

36
6
108
12

Answers

Answer:

36

Step-by-step explanation:

Noticing that 216 = 6^3 and using (x^a)^b = x^ab

216^2/3 = (6^3)^2/3 = 6^3 times 2/3 = 6^2 = 36

ILL GIVE BRAINLIEST ​

Answers

The answer is z=20 because 25-6 is 19 and rounded that is 20

Need help pls respond asap!

Answers

Answer:

[tex]n\sqrt{5}[/tex]

Step-by-step explanation:

The length of the legs is n and 2n.

The hypotenuse is:

[tex]PQ = \sqrt{n^2+(2n)^2} =\sqrt{5n^2} =n\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

3

5. Which statistical graph is the most useful when comparing multiple datasets?
a. Ogive
b. Box-plot
c. Pie chart
d. Histogram

Answers

C. Pie chart because of your head

Mike has 25 toys. Lucy has 31 toys.
What number is equal to
Lucy's number of toys?

Answers

Answer:

31 - 25 = 6

Step-by-step explanation:

Have a good day! :)

Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measures of angle ECF.

Answers

Answer:

22 degrees

Step-by-step explanation:

Angles ABC and ECF are corresponding angles.

Set up and solve a system of equations to solve the problem.

A jar contains n nickels and d dimes. There are 26 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?

Answers

Answer:

14 Dimes and 12 Nickels

Step-by-step explanation:

So you want to make 2 equations like this:

n+d=26

0.05n+0.10d=2

Now, use substitution and get d=26-n

plug that into the next equation and get

0.05n+0.10(26-n)=2

Distribute and combine like terms

0.05n+2.6-0.10n=2

2.6-0.05n=2

subtract 2.6 from both sides and you get

-0.05n=-0.6

Solve for n by dividing and you get

12 nickels.

Now, plug that into the first equation and you get

12+d=26

d=14

Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?

Answers

Answer:

dude I need like a picture or something to say

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and
K(-5, 1)

Answers

Solution:

Draw the parallelogram on the coordinate plane.

Graph #1 Attached~

We can tell that the intersection point is (-8/5,27/10).

Hoped this helped!

How many radians is 30°?

Answers

Answer:

That would be 0.523599 radians.

Step-by-step explanation:

This is the formula I used:

30° × π/180 = 0.5236rad

Radians - π6

Approx. radians - 0.524

What the inverse of this question

Answers

Answer is

f(x) inverse = (1/5x)^1/3 +4

How do I solve this problem?

Answers

Answer:

M. E. = +_2.086

Step-by-step explanation:

How do I solve this problem?

pls answer i have to get this done

Answers

Answer:

[tex]\huge\boxed{\times 2}[/tex]

Step-by-step explanation:

1 turned into 2, that means, it has been multiplied by 2.

1 × 2 = 2

3 turned into 6, that also means, it has been multiplied by 2.

3 × 2 = 6

So, both have been multiplied by 2.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer: x 2

The answer is "x 2". This is because, as we see, 1 is then turned into 2. This is because 1 is multiplied by 2, which equals 2. 1 x 2 = 2. And 3 is turned into 6 through multiplication. 3 x 2 = 6. So we can see that the relationship between the quantities is "x 2".

Step-by-step explanation:

Hope this helps =)

Substitute this simultaneous linear equation
[tex]3x {}^{ - 1} - {4y}^{ - 1} = 5 \\ {2x}^{ - 1} + {3y}^{ - 1} = 7[/tex]

Answers

Answer:

[tex] {3x}^{ - 1} - {4y}^{ - 1} = 5 \: ....(1) \\ \\ {2x}^{ - 1} + {3y}^{ - 1} = 7 \: ....(2) [/tex]

__o__o__

[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \: ....(1) \\ \\ \\ \frac{1}{2x} + \frac{1}{3y} = 7 \: ....(2)[/tex]

From equation (1) ;

[tex] \frac{1}{3x} - \frac{1}{4y} = 5 \\ \\ \frac{1}{4y} = \frac{1}{3x} - 5 \\ \\ \frac{1}{4y} = \frac{1 - 15x}{3x} \\ \\ \\ 4y(1 - 15x) = 3x \\ \\ 4y = \frac{3x}{1 - 15x} \\ \\ y = \frac{3x}{4(1 - 15x)} \\ \\ \\ y = \frac{3x}{4 - 60x} [/tex]

[tex] \frac{1}{2x} + \frac{1}{3y} = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{3( \frac{3x}{4 - 60x} )} ) = 7 \\ \\ \\ \frac{1}{2x} + ( \frac{1}{ \frac{9x}{4 - 60x} } ) = 7 \\ \\ \\ \frac{1}{2x} + \frac{4 - 60x}{9x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{2(4 - 60x)}{18x} = 7 \\ \\ \\ \frac{9}{18x} + \frac{8 - 120x}{18x} = 7 \\ \\ \\ \frac{9 + 8 - 120x}{18x} = 7 \\ \\ \frac{17 - 120x}{18x} = 7 \\ \\ 18x \times 7 = 17 - 120x \\ \\ 126x = 17 - 120x \\ \\ 126x + 120x = 17 \\ \\ 246x = 17 \\ \\ x = \frac{17}{246} [/tex]

[tex]y = \frac{3x}{4 - 60x} \\ \\ y = \frac{3( \frac{17}{246}) }{4 - 60( \frac{17}{246} )} \\ \\ y = - \frac{17}{12} [/tex]

When the binomial 27x2 - 300 is factored, the result is 3(3x – b)(3x + b). What is the value of b?

Answers

Answer:

The b-value is the middle number, the number next to the x. The other letters, a and c, are also numbers like b. Each of these can be any number. In combination, they tell you what the quadratic function will look like when graphed.    Step-by-step explanation:

Rewrite the improper fraction as a mixed number.

Answers

Answer:

8/3 would be 2 2/3 and 15/5 would be 3

Step-by-step explanation:

I wrote my answer and used a website to double check.

Solve each inequality.


x+4 >9 Write the inequality.

x + 4 -4 >9 -4 Subtract 4 from each side.

x,>5 Simplify.

Answers

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}[/tex]

Step-by-step explanation:

[tex]\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}[/tex]

______________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

Answer:

[tex] \displaystyle{x + 4 > 9}[/tex]

Subtract 4 from each side:

[tex] \displaystyle \: x + 4 - 4 > 9 - 4[/tex]

[tex] \displaystyle \: x > 5[/tex]

In a bus of 40 passengers, the number of women is 7 times more than the number of men. How many women are on that bus? Explain your answer.

Answers

Answer: is 5

Step-by-step explanation:

x is the missing number for women                                                        women are 7 times more than the number of men                                                        

So you do x times 7, which is 7x

Then you add them together

x + 7x = 8x

8x = 40

At last you divide 40 by 8

And the answer is 5

The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Alfredo month 0 1 2 3 Alex C=25+10m, where
Cost 20 30 40 50 C= cost in dollars and
M= number of months.

Answers

The equation is an illustration of a linear function

The rate of change is 10 and the initial value is 25

How to determine the rate of change and the initial value

The equation is given as:

[tex]C = 25 + 10m[/tex]

A linear equation is represented as:

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

Where:

b represents the initial valuem represents the rate

By comparison:

b = 25

m = 10

Hence, the rate of change is 10 and the initial value is 25

Read more about linear functions at:

https://brainly.com/question/15602982

SOLVE & SHOW YOUR WORK !!!!

Answers

Answer:

x = 6

y = 5.5

Step-by-step explanation:

Since the shapes are similar:

A = E and

C = G

60+8x = 108 subtract 60 from both sides

8x = 48 divide both sides by 8

x = 6

8y - 3x = 62 we know x is 6

8y - 3*6 = 62

8y - 18 = 62 subtract 18 from both sides

8y = 44 divide both sides by 8

y = 5.5


Yesterday morning Kimberly had 48 dollars. She first spent 3/4 of it at the mall. She counted her
money. Later, she went to the movies and spent 1/3 of what was left after her shopping. How much

money does she have now?

Answers

Answer:

$8.00

Step-by-step explanation:

Based on the given conditions, formulate:

[tex]48[/tex] × [tex](\frac{1}{3}-1)[/tex] × [tex](\frac{3}{4}-1)[/tex]

Apply the Distributive Property:

[tex](48[/tex] × [tex]\frac{1}{3}+48[/tex] × [tex](-1))[/tex] × [tex](\frac{3}{4}-1)[/tex]

Apply Multiplicative Distribution Law:

[tex](16-48)[/tex] × [tex](\frac{3}{4}-1)[/tex]

Calculate the sum or difference:

[tex]-32[/tex] × [tex](\frac{3}{4}-1)[/tex]

Apply the Distributive Property:

[tex]-32[/tex] × [tex]\frac{3}{4}-32[/tex] × [tex](-1)[/tex]

Apply Multiplicative Distribution Law:

[tex]-24+32[/tex]

Calculate the sum or difference:

[tex]8[/tex]

If f(x) is an exponential function where f(1.5) = 7 and f(8.5) = 46, then find the value of f(14), to the nearest hundredth.

Answers

Answer:

[tex]f(14)=201.932[/tex]

Step-by-step explanation:

Set up a system of equations and solve for "b"

[tex]\left \{ {{46=ab^{8.5}} \atop {7=ab^{1.5}}} \right\\ \\\left \{ {{\frac{46}{b^{8.5}}=a } \atop {\frac{7}{b^{1.5}}=a} \right\\\\\frac{46}{b^{8.5}}=\frac{7}{b^{1.5}}\\ \\46b^{1.5}=7b^{8.5}\\\\46=7b^7\\\\\frac{46}{7}=b^7\\ \\b=1.308604899[/tex]

Determine the value of "a" using "b"

[tex]y=ab^x\\\\46=a(1.308604899)^{8.5}\\\\46=9.837224985a\\\\a=4.676115477[/tex]

Find f(14) using the new function

[tex]f(x)=4.676115477(1.308604899)^x\\\\f(14)=4.676115477(1.308604899)^{14}\\\\f(14)\approx201.932[/tex]

What is the correct answer NEED ANSWER ASAP​

Answers

Answer:

12 burgers, 0 sub sandwiches or 7 burgers, 5 sandwiches

Step-by-step explanation

First, we need to form the equation. This will be 2.50x + 3.50y ≤ 30.

2.5x + 3.5y ≤ 30

Now I'll solve for x here, but you don't have to.

First I'll move 3.5y to the other side by subtracting that value from both sides.

2.5x ≤ -3.5y + 30

Next, divide by 2.5 to get just x on the left.

x ≤ -1.4y + 12

Now to substitute.

2.5(-1.4y + 12) + 3.5y ≤ 30

-3.5y + 30 + 3.5y ≤ 30

Wait a second...This creates... (canceling out -3.5y and 3.5y...)

30 ≤ 30

The two sides are the same! That means one solution has y being 0. 30/2.5 (as we already figured out) is 12. So one solution is (12, 0).

Solution 2 can be figured out with this. What is the LCM of 3.5 and 2.5? Here we really need to use 35 and 25.

First, to factorize.

25: 5 * 5

35: 5 * 7

A five in is common. So to get the LCM, we need to multiply 5 * 7 * 5 to get 175. However, since this is in TENTHS, it's actually 17.5 being the LCM between 3.5 and 2.5.

Since 7 * 2.5 = 17.5, as does 3.5 * 5, our other solution is (7, 5).

Solve for x: 1/6(6x+12)+5x>26

Answers

From this we can simplify to get x>4

6.
(04.01 LC)
Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 . (5 points)

5 to the power of negative 5 over 6
5 to the power of 3 over 2
5 to the power of negative 1 over 6
5 to the power of 5 over 2

Answers

Answer:

A. 5 to the power of negative 5 over 6

Step-by-step explanation:

[tex]\sqrt[3]{5} \sqrt{5} /\sqrt[3]{5^5} =[/tex][tex]5^{1/3+1/2-5/3}=[/tex][tex]5^{1/2-4/3}=[/tex][tex]5^{3/6-8/6}=[/tex][tex]5^{-5/6}[/tex]
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