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
9514 1404 393
Answer:
5000 shares of stock fund6000 shares of bond fundStep-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
Find the slope of the line that passes through the pair of points.
(2, -3). (-5, 1)
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Help ksjsjsjs
find the equation of a parabola whose vertex is at (-1,7), whos axis of symmetry is x=-1, and who's y-intercept is (0,10). write your answer in vertex form
Answer:
42
Step-by-step explanation:
I say this because the answer to life the universe and everything is 42 so yeah?!
Which of the following represents 3x - 5y + 10 = 0 written in slope-intercept form?
y = -x + 2
y = x - 2
y = x + 2
Answer:
Rewritten in slope-intercept form,
y = mx + b
The answer is
y = 3/5x + 2.
Answer:
y = 3/5x + 2
Step-by-step explanation:
Which form of a quadratic would be the easiest to identify the y-intercept?
A. Vertex Form
B. Standard Form
C. Intercept Form
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Given the functions f(x) = x2 + 6x - 1 and h(x) = 2x2 - 4x + 3. What is the vertex for each?
a
(-3, -10) and (1, 9)
b
(-3, -28) and (-1, 5)
c
(-3, -10) and (1, 1)
d
(3, -20) and (-1, 9)
Answer:
c. (-3, -10) and (1,1)
I took this test and remembered,
A student in algebra course has test scores of 80, 85, 72, and 85. What score on the
next test will raise the student's average to 84?
Answer:
98
Step-by-step explanation:
First, you need to find the current average: 80+85+72+85/ 4= 322/4= 80.5
Now you need to find how many points you need to have the average of 84.
84x 5= 420
420- 322= 98
Two hundred
copies can be
mode for $6.00.
How much will 150 copies cost?
Answer:
$4.50 for 150 papers
Step-by-step explanation:
5. If three tacos and two drinks cost $13.00, and four tacos and one drink costs $15.25, how much does
a taco cost?
O a) $2.75
O b) $3.00
O c) $3.25
O d) $3.50
O e) $3.75
Answer:
D. 3.50
Step-by-step explanation:
3t+2d=$13.00
4t+d=$15.25
3t+2d=$13.00
8t+2d=$30.50
E2-E1
5t=$30.50-$13.00
t=3.5
The taco cost is option D. 3.50
Given that,
If three tacos and two drinks cost $13.00, and four tacos and one drink costs $15.25.
Based on the above information, the calculation is as follows:
3t+2d=$13.00 ......(1)
4t+d=$15.25 .......(2)
Here we have to multiply by 2 in equation 2
So,
3t+2d=$13.00
8t+2d=$30.50
So,
5t=$30.50-$13.00
t=3.5
Learn more: brainly.com/question/16911495
EVALUATE this problem: 7 x 6 = 2
Please show work and answer. Worth 30 points
Answer:
21
Step-by-step explanation:
7 × 6 = 42
42 ÷ 2 = 21
21 (Correct)
Simplify the product
5/n+1*n+1/n+3
5n+1/n^2 + 4n+ 3
5n+1/n^2+4n+3
5/n+3
5n+1/n+3
Answer:
5(n+1)/((n+1)(n+3))
5/(n+3) is a answer
Step-by-step explanation:
(n+1)/(n+1)=1
The solution is, the simplified product of the expression 5/n+1*n+1/n+3 is 5/(n+3) .
here, we have,
given that,
the expression is 5/n+1*n+1/n+3
now, we have to find the simplified product.
as, * means the multiplication,
we get,
5/n+1*n+1/n+3
=5*(n+1)/((n+1)*(n+3))
now, we know that,
(n+1)/(n+1)=1
so, we get,
5*(n+1)/((n+1)*(n+3))
=5*1 /(n+3) *1
=5/(n+3) is a answer
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The first night in a hotel costs 60 dollars. All additional nights cost 49 dollars. How many nights did we stay
at this hotel if the total bill was 501 dollars?
nights
What is the classification for this polynomial?
59264 -4ab - 8
Answer:
Trinomial
Step-by-step explanation:
It is a trinomial since it has three terms
Hope that helps!
What is the answer please help
Ismail tried to prove that sin(θ) = cos(90°− θ) using the following diagram. His proof is not correct.
What is the first mistake in Ismail's proof?
Answer:
C. Ismail used the wrong sides in his ratio for cos (90 - θ)Step-by-step explanation:
All steps correct apart from:
cos (90° - θ) = AC/BCIt should be
cos (90° - θ) = AB/BCCorrect choice is C
Answer:
c
Step-by-step explanation:
Find the 39th term of the sequence 72, 64,56...
Answer:
How do you find the term of a sequence?
The formula for finding any term in the sequence is Un (or Ur) = the 1st term + the term you are trying to find minus 1 (if you were finding the 5th term it would be 5 -1) x d (the common difference).
Step-by-step explanation:
Simplify [(a⁴b⁵)² ÷ (a⁹b⁷)⁰] ÷ ab²
Answer:
a^5b^8
Step-by-step explanation:
x − (y − y)= for x = 3 and y = 6
Answer:
3
Step-by-step explanation:
x − (y − y)
3-(6-6)
3-0
3
Step-by-step explanation:
Given
x = 3 and y = 6 Then
x - (y-y)
= 3 - ( 6 - 6 )
= 3
Hope it will help :)
please help!! I don't know anything about the unit I'm on and this along with other questions soon would help me so much
Answer:
x + 21 + 33 = 180
x + 54 = 180
x = 126
PLZ BRIANLiest me!!!
Step-by-step explanation:
A certain product has supply and demand function given by p=60q+200
The question is completed as thus:
p=5300 - 60q, respectively.
What price gives market equilibrium, and how many units are demanded and supplied at this price?
Answer:
The equilibrium price is $2750 and the equilibrium quantity is 42.5
Step-by-step explanation:
Give
Supply Function
[tex]p=60q+200[/tex]
Demand Function
[tex]p=5300 - 60q[/tex]
Required: Determine the equilibrium price and quantity
To do this, we equate both functions
[tex]p = p[/tex]
[tex]60q + 200 = 5300 - 60q[/tex]
Collect Like Terms
[tex]60q +60q = 5300 - 200[/tex]
[tex]120q = 5100[/tex]
Make q the subject
[tex]q = \frac{5100}{120}[/tex]
[tex]q = 42.5[/tex]
Substitute 42.5 for q in [tex]p=60q+200[/tex]
[tex]p = 60 * 42.5 + 200[/tex]
[tex]p = 2550 + 200[/tex]
[tex]p =2750[/tex]
Hence, the equilibrium price is $2750 and the equilibrium quantity is 42.5
Which of these shows 7 + 2y rewritten using the commutative property of addition?
7y + 2
2y + 7
7 − 2y
2y − 7
Answer:
2y + 7
Step-by-step explanation:
The commutative property BASICALLY says that something is the same backwards and forwards. In this case, 7+2y = 2y+7
Answer:
2y + 7.
Hope this helps! Even though I answered this after a week. :D
A
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years
What is the smallest amount, to the nearest pound, she can invest?
Answer:
Intital investment= £6,911.57
Step-by-step explanation:
Giving the following information:
Future Value (FV)= £8,001
Number of periods (n)= 3 years
Interest rate (i)= 5% = 0.05 compounded annually
To calculate the initial investment (PV) needed to reach £8,001 (over £8,000) in 3 years, we need to use the following formula:
PV= FV / (1+i)^n
PV= 8,001 / (1.05^3)
PV= £6,911.57
An isosceles triangle has a perimeter of 28.12 centimeters. The length of the longest side is 13.08 centimeters. What could be the length of
one of the other sides of the triangle?
A. 3.92 centimeters
B. 7.52 centimeters
C. 11.26 centimeters
D. 15.04 centimeters
Answer:
7.52 cm
Step-by-step explanation:
If we subtract the longest side from the whole perimeter, we get 28.12 - 13.08 = 15.04.
So the other two sides must be equal, since the triangle is isosceles.
That means 15.04 must be divided evenly betweem two sides.
15.04/2 = 7.52
So the 3 sides are 13.08 cm, 7.52 cm, and 7.52 cm.
You check the answer by adding all 3 sides together and we do indeed get the perimeter, 28.12 cm.
Kayla drew a scale drawing of a house. In real life, the living room is 4 meters wide. It is 2
centimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction
Pls help extra points and mark brainlist
Answer:
h=2 or B
Step-by-step explanation:
if you plug in all the solutions it works
8+h/10
8+2/10
=10/10
=1
so its B
Help me plz thanks my guy or gurl
Answer:
its j daddy
Step-by-step explanation:
At the school festival heather can buy 30 game tickets for $24.
What is the price for each ticket?
Answer:
$1.25
Step-by-step explanation:
help with math plsssssssss
HELP PLEASE..........
Answer:
what is X? is x is negative they are all wrong, if X is 0 or positive whole number they are all correct
Step-by-step explanation:
7.2 is 15% of what number?
Answer:
48
Step-by-step explanation: