A pension fund owns 11,000 shares in a stock mutual fund and a bond mutual fund. Currently the stock fund sells for $12 per share and the bond sells fund sells for $15 per share. How many shares of each does the pension fund own if the value of the securities is $150,000?

Fund owns:
Stock fund shares
Bond fund shares

Answers

Answer 1

9514 1404 393

Answer:

5000 shares of stock fund6000 shares of bond fund

Step-by-step explanation:

Let b represent the number of shares of the bond fund owned. Then the value of the pension fund is ...

  15b +12(11000-b) = 150000

  3b = 18000 . . . . . . . . . . subtract 130,000

  b = 6000 . . . . . . . . . shares of bond fund

  11000 -b = 5000 . . . shares of stock fund


Related Questions

A car dealership increased the price of a certain car by 13%. The original price was $47400 what is the new price?

Answers

The answer would be 53,562. You would multiply 47400 by 1.13 to get your answer. Hope this helps!

for what value of x do the expressions 4x+3 and -2x-6 have the same value​

Answers

Answer:

x= -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

just equal both of the equations and solve for x

Which number is NOT in the solution set of x + 6 < 142
-0)
A)
3
B)
5
C)
7
D)
11
Please help

Answers

C? I think I’m not really sure

please solve this problem.​

Answers

Answer:

a= 14^2 or 196

b= 48^2 or 2304

c= 50^2 or 2500

Step-by-step explanation:

uesday
Write 784,000 in each form,
Word:
Expanded

Answers

Standard: 784,000

Word: seven hundred eighty-four thousand

Expanded: (700,000) + (80,000) + (4,000)

. La suma de 1/4 + 5/8 = *
cuál es la respuesta​

Answers

Answer:

La respuesta es 7/8

Step-by-step explanation:

five friends bought admission tickets to the museum and a box lunch. The cost of each admission ticket was 11.75$. Each box lunch was 5$. Write two equivalent expressions and then find the total cost.​

Answers

Answer:

83.75$

Step-by-step explanation:

(5×11.75)+5×(5)=?

5×(11.75+5)=? [DISTRIBUTIVE PROPERTY]

5×16.75=?

83.75

Yeah it’s 83.75$ .......

Please answer and I will brainliest you

No troll comments please or I will remove ur account :)

Answers

Answer:

The one the left Will most likely land on 5,6, and 1 and less likely to land on 2,3,and 4 and the one on the right you are more likely to land on all equally

Step-by-step explanation:

I have no idea what to do any help is appreciated.

Answers

Answer:

C) x²-2x-15=0

Step-by-step explanation:

You could put both -3 and 5 in the equations to guess and check, but the better way is to use them to create the factors.  If -3 is a root, one of the factors must be (x+3).  If 5 is a root, the other factor must be (x-5).  

(x+3)(x-5)

x²-5x+3x-15=0

x²-2x-15=0

Step-by-step explanation:

x2+2x_15:1234589098988888

50
Question 6
At the local zoo, the ratio of monkeys to tigers is 6:4 and there are 20 tigers, how many
monkeys are at the zoo?
30
13
40
3
133

Answers

Answer:

30

Step-by-step explanation:

60 points! Please help me fast this is due soon. I will mark brainliest. Random answers will be reported.

Answers

Answer:

k = 1/4, m = 16

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides:

k = 7/28 = 1/4

Find m using the scale factor:

m*1/4 = 4m = 16

Answer:

scale factor is 4 and m is 16.

Step-by-step explanation:

This is because these are similar rectangles, so the proportion of each side to the congruent side is the same. This means that to get from 7 to 28 u multiply by a scale factor of 4, and to get m you would multiply 4 by 4.

You have less than three hours to finish your
homework. Which one of the following graphs
represents this situation?
A. A
+
1
+
2
4
3
o
5.
B.
+
1
2
3
4.
5
0
C.

+
1
3
4
5
0
2
+
D.
中 &
3
4
5
2
0
1
llant)

Answers

The answer for this problem mia 102

Mei runs 77.4 miles in 5 weeks. If she runs 3 days each week, what is the average distance she runs each day?

The average distance she runs each day is ____ miles.

Answers

Answer:

5.16

Step-by-step explanation:

We multiply the number of weeks by the number of days to find the total amount of days that she ran:

5 weeks × 3 days/week = 15 days

We are looking for the amount of miles/day (which represents the number of miles per day).

So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day

please hurry

Paul deposit $500 in an account that pays 4% annual interest. Find how much Paul will
have after 3 years when the interest is compounded quarterly.

a. $563.41
b. $501.12
c. $515.15
d. $580

Answers

The answer is C $515.15

Find the exact value of each of the remaining trigonometric functions of theta.
Rationalize denominators when applicable.
sin theta= [tex]\sqrt{\frac{3}{7} }[/tex] given that theta is in quadrant I.
cos theta=
csc theta=
sec theta=
tan theta=
cot theta=

Answers

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Find the area of the triangle with A = 35º, b = 11 feet, and c = 10 feet. Round to the nearest tenth.​

Answers

Answer:

31.5

Step-by-step explanation:

PS 5.1- Solving
9. The ratio of leaders to followers was 2:7. If there were a total of 108 people, how many were followers?

Answers

Answer:

84

Step-by-step explanation:

108 / (7+2) = 12

7 x 12 = 84

Answer:

84

Step-by-step explanation:

I'm pretty sure correct me if I'm wrong

Two numbers are such that one number is 456 more than the second number and their average is equal to 433. What are the two numbers?

Answers

Answer:

hope it may help you

Step-by-step explanation:

one number = 661

second number = 205

Solve the problem.
Two plumbers make house calls. One charges $90 for a visit plus $45 per hour of work. The other charges $65
per visit plus $55 per hour of work. For how many hours of work do the two plumbers charge the same? Help!!

Answers

The total cost for plumber number 1 expressed as a function of x is

c1(x)=45x+90

That is, the charge per hour times the number of hours plus the fixed charge for a visit.

Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for

Answer:

what is the answer to 4 984

Andrea is 58 inches tall. Her dad is 6 ft 2 inches tall. Howmany inches taller is Andrea's father than Andrea.

Answers

6'2 = 74 inches.

74-58 = 16

16 inches taller.

Hope this helps ^^

Find the slope of the line that passes through (3, -1) and (4, 7)

Answers

The slope is 4 or 8/2

Answer:

Written in slope-intercept form.

y = mx + b

The answer to your question would be

m = 8

First factor out the greatest common factor from each term. Then factor the remaining polynomial.

Answers

The answer is : B B B B B B B B B B B B

jessica swim lesson was 1/2 of an hour long. 5/6 of the time was with instruction and rest of the time was spent doing streches and warming up own. what fraction of an hour was jessica with an instructor?

Answers

Answer: The fraction of an hour that Jessica was with an instructor was 5/12....

Step-by-step explanation:

1/2 X 5/6= 5/12

Drag the following cards to match each point to its value.
Point
Value
A
1.25
B
0
1
3
С
4
Help

Answers

Answer:

[tex]Blue = 0[/tex]

[tex]Green= 1.25[/tex]

[tex]A= \frac{3}{4}[/tex]

Step-by-step explanation:

The colors on alphabets B and C on the table is not clear enough. So, I will answer using the color

Required

Determine the points on the number line

From the number line each adjacent point is 0.25

Using the above findings, the solution is as follows;

The blue dot is on the 0 point.

So:

[tex]Blue = 0[/tex]

The green dot is on the 1 point after number 1

So:

[tex]Green= 1 + 0.25 * 1[/tex]

[tex]Green= 1 + 0.25[/tex]

[tex]Green= 1.25[/tex]

Lastly:

[tex]A= \frac{3}{4}[/tex]

Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers, click on "None".
(This is not negative 3)

Answers

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

The numbers whose absolute values is 3 are : 3 and - 3

The absolute value of a number is the distance from zero a number is on the number line. Absolute values measures the distance from zero ignoring whether the distance is to the right or left of the number line.

Three units to the right of Zero = 3

Three units to left of Zero = -3

The absolute value of - 3 represented as |-3| = 3

Hence, The numbers whose distance from zero is 3 on the number line are : 3 and - 3

Learn more on absolute values of numbers : https://brainly.com/question/19420051

christian has 1/8 of a hershey's bar. Ellie has 1/3 of a hershey's bar. who has more, and how much more do they have

Answers

Answer:

Christian has more candy bar left because 1/8 is less than 1/3.

Step-by-step explanation:

Answer:

Ellie has more. Ellie has 5/24 more.

Step-by-step explanation:

Common Denominator: 24

1/8=3/24 and 1/3=8/24

Then subtract to get 5/24

NEED HELP, QUICK MATH QUESTION!

Answers

Answer:

i think b or c

Step-by-step explanation:

i tryed sorry if they or one

wrong

Answer:

II and IV, so C

Step-by-step explanation:

Factorise:
1) 10x² + 5xy
2) 15xy + 3y²
3) 14x²y² + 7y

Answers

Answer:\

1) 5x ( 2x + y)

2) 3y(5x+ y)

3) 7y(2x^2y +1)

I hope im right!!

Question 1:
10x² + 5y

= 5(2x² + y)

Question 2:
15xy + 3y²

= 3y(5x + y)

Question 3:
14x²y² + 7y

= 7y(2x²y + 1)

Help
=================

Answers

Answer:

8 in²

Step-by-step explanation:

The area of a triangle is always base times half height. Since this triangle has a 90° corner, the vertical 4 inch is also the height.

So area is 4*4/2 = 8

Which of the following is false?
O 10 > 10
0 101 > 100
0 88 < 77.7
O 98 99
O 87

Answers

Answer:

A and C

Step-by-step explanation:

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