Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
A spinner with 10 equally sized slices has 2 red slices , and 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or yellow slice?
Given parameters:
Number of equally sized slices = 10
Red slices = 2
Yellow slices = 4
Blue slices = 4
Unknown:
Probability that the dial stops on a red or yellow color =?
Solution:
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome }{Total outcome}[/tex]
This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.
Pr(red or yellow) = Pr(red) + Pr(Yellow)
= [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{10}[/tex]
= [tex]\frac{6}{10}[/tex]
= [tex]\frac{3}{5}[/tex]
The probability of red or yellow is [tex]\frac{3}{5}[/tex]
HELP!!!!On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $7.75. On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95. Which of the following systems of equations can be used to determine the cost for one peach (p) and one watermelon (w)?
1. 5p+2w=$7.75
3p+4w=$10.95
2. 5p×2w=$7.75 (Wrong)
3p×4w=$10.95
3. 5w+2p=$7.75
3w+4p=$10.95
4. 5w×2p=$7.75
3w×4p=$10.95
Answer:
1. 5p+2w=$7.75
3p+4w=$10.95
Step-by-step explanation:
Just make sure the sign is adding and the w and p are in the right spots
Answer: 1. 5p+2w=$7.75
3p+4w=$10.95
Step-by-step explanation: did the test n got it correct, hope this helped :)
which actions are most likely to lead to the discovery of new info
Answer:
the answer is D :3
Step-by-step explanation:
you must use the dividen to answer the question
A is opposite _________???
Need help Just say a b c or d
Answer:
A) 2
Step-by-step explanation:
19=2x-15
19-15=4
4=2x
4÷2=2
×=2
What is the simple interest formula?
A.I=P-rt
B.I=Prt
C.I=P+r+t
PLEASE HELP ASAP ILL GIVE YOU BRAINLEST
Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?
Step-by-step explanation:1,200x 0.06 interest= 72.
She paid it over the course of 9 months, so 72x9= 648.
Mira pay $1,254 the bank back all together.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
Mira borrowed $1,200 from the bank to help pay rent.
And, The bank charged 6% interest over 9 months.
Now, We know that;
⇒ Simple interest = PRT / 100
Where, P is principle amount, R is rate and T is time.
So, We get;
⇒ Simple interest = PRT / 100
⇒ Simple interest = 1200 × 6 × 9/12 × 1/100
⇒ Simple interest = $54
Hence, The total amount to pay back to bank is,
⇒ Amount = Principle amount + Interest
⇒ Amount = $1,200 + $54
⇒ Amount = $1,254
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A community center with 700
members has 56 teenage members.
What percentage of the members are
teenagers?
F 56%
G 8%
H 5.6%
J 80%
Answer:
8%
Step-by-step explanation:
divide number of teenagers by total and the multiply by 100... this is very basic
Answer: 8
Step-by-step explanation:
list 1/6, -4, sq root of 8, 4.3 from least to greatest 
Answer:
-4, 1/6, sq rt 8, 4.3
Step-by-step explanation:
1/6=.167
sq rt8= 2.82
The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?
PLEASE HELPPP
Answer:
y(0) = -39
Step-by-step explanation:
15 * 3 = 45
6- 45 = -39
What’s the diameter and the radius
Answer:
Radius is 12 (24/2)
Diameter is 24 (a straight line passing from side to side through the center of a circle)
Solve for x 5z-8=-28
U said solve for x do u mean z?
z=-4
Answer: z = -4
Step-by-step explanation:
Simplifying
5z + -8 = -28
Reorder the terms:
-8 + 5z = -28
Solving
-8 + 5z = -28
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 5z = -28 + 8
Combine like terms: -8 + 8 = 0
0 + 5z = -28 + 8
5z = -28 + 8
Combine like terms: -28 + 8 = -20
5z = -20
Divide each side by '5'.
z = -4
Simplifying
z = -4 Hope this helps !
Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer
Answer:
1. The system of equations is given as follows;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
Where;
S = The cost of a sofa
L = The cost of a love sea
C = The cost of a single chair
2. The cost of a love sea, L is $500
Step-by-step explanation:
1. The given information are;
The price of sofa and love sea = $1,300
The price of sofa and two chairs = $1,400
The price of sofa, love sea, and one chair = $1,600
Let the cost of a sofa = S
Let the cost of a love sea = L
Let the cost of a chair = C
Therefore, we have;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
2. From equation (1), we have;
L = $1,300 - S
Similarly, from equation (2),we have;
C = ($1,400 - S)/2
Substituting the values of L and C in equation (3), we have;
S + $1,300 - S + ($1,400 - S)/2 = $1,600
Which gives;
($1,400 - S)/2 = $1,600 - $1,300 = $300
$1,400 - S = 2 × $300 = $600
$1,400 = $600 + S
$600 + S = $1,400
S = $1,400 - $600 = $800
S = $800
The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;
L = $1,300 - $800 = $500
The cost of a love sea, L is $500 .
NASA is launching a prove that will travel in a straight line to Saturn and then beyond. Use d to represent the distance from Earth to Saturn, and use q to represent the total distance the probe has traveled. Saturn has not moved relative to the probe.
Step-by-step explanation:
its c because ppl eheueebeuebeue eueeb
Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)
Answer:
[tex]y=2x-5[/tex]
Step-by-step explanation:
Let's start by finding the slope using the two points given. Use the formula for slope below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values:
[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]
Substitute:
[tex]m=\frac{3-(-5)}{4-0}[/tex]
Combine terms:
[tex]m=\frac{8}{4}[/tex]
Simplify:
[tex]m=2[/tex]
_
Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:
[tex]y=mx+b[/tex]
Identify your values:
[tex]m=2[/tex]
[tex]b=-5[/tex]
Substitute:
[tex]y=2x-5[/tex]
A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m
1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?
Answer:
0.616m
Step-by-step explanation:
Mr. Bohman is taking out a loan so that he can buy more bees. If he takes out a loan of $5,500 at 10% simple interest for 7 years, how much interest will he have to pay
Answer:$3850
Step-by-step explanation:fist do 5,500 X 1 =500
Then do 500 X 7 = 3850
- Danny multiplied a number by 7 and
added 32. Paul multiplied the same
number by 5 and added 92. After
these calculations, both boys arrived
the same answer. Which equation
can be used to determine what
number each boy multiplied?
Answer:
A.
Step-by-step explanation:
x is what is representing the unknown number. So, both are multiplying x (the unknown number) by 7 and 5, respectively, and adding that number by 32 and 92, respectively.
2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?
Answer:
Square 18.
Step-by-step explanation:
First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.
Hope this helps!
what value of x makes this equation true:
8x + 7 = 79
Answer:
x equals to 9
9
x is 9
x is 9
The figures are not drawn to scale.
35°
55°
Based on the information in the drawing, which statement
can be made about the figures?
O All sides are congruent.
O Corresponding angles are congruent.
The triangles are similar.
O Corresponding sides are proportional.
Answer:
Corresponding angles are congruent, corresponding sides are porportional, and the triangles are similar.
Step-by-step explanation:
Since angles on a triangle add up to 180 degrees, we can figure out that both triangles' angles are 55, 35, and 90. That means the triangles are similar, corresponding sides are porportional, and also means the corresponding angles are congruent. The 4th one cannot be guaranteed, as the triangles could be of different sizes.
Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)
y = –6x+2
–12x – 2y = –4
How many solutions does this linear system have?
one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
y = -6x + 2 . . . . . . . . (1)
-12x - 2y = -4 . . . . . . (2)
Putting (1) into (2), we have
-12x - 2(-6x + 2) = -4
-12x + 12x - 4 = -4
-4 = -4
Therefore, the system has infinite number of solutions.
I hope this helps you! :3 :)
Answer:
infinte number of solutions
Step-by-step explanation:
8.4 km/min into km/h
Answer:
504km/h
Step-by-step explanation:
there are 60 minutes in an hour.
8.4kmx60min= 504km/h
3. Which list below shows the number of medals that one nation's team won at the Olympics. What is the ratio of gold medals to the total number of medals that the team won? Gold 34; Silver 30; Bronze 39 * 1 point A. 34 to 93 B. 34 to 103 C. 103 to 34 D. 34 to 69
Answer:
The ratio of gold medals to the total number of medals that the team won is 34 to 103.
The correct option is B. 34 to 103
Step-by-step explanation:
From the question, the team of one nation has won 34 Gold, 30 Silver, and 39 Bronze medals.
To determine the ratio of gold medals to the total number of medals that the team won,
First, we will determine the total number of medals that the team won, which is the sum of the numbers of each medal won. That is
Total number of medals = 34 + 30 + 39 = 103
Therefore, total number of medals = 103
Now, for the ratio of gold medals to the total number of medals that the team won
Number of gold medals won = 34
Hence, the ratio of gold medals to the total number of medals that the team won is 34 to 103
Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.
(0, 10)
(3, 2.5)
(-2, 15)
(2, 5)
Step-by-step explanation:
so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.
10(0)+4(10)=40
Answer:
(0, 10)Step-by-step explanation:
substitute the value of x,y given into the formula, that equates 40.
10x + 4y = 40
let x = 0, y = 10 ; 10(0) + 4(10) = 40 √
let x = 3, y = 2.5 ; 10(3) + 4(2.5) ≠ 40 x
let x = -2, y = 15 ; 10(-2) + 4(15) ≠ 40 x
let x = 2, y = 5 ; 10(2) + 4(5) ≠ 40 x
therefore, (0, 10) is the right answer
If f(x)=3x+2, what is f(5)
A. 1
B. 17
C. 13
D. 10
Can you please solve this.
Answer:
They are not similar.
Step-by-step explanation:
They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.
Question 1.
what equation is graphed in this figure?
A. y-4= -1/3(x+2)
B. y-3=1/3(x+1)
C. y+2=-3(x-1)
D. y-5=3(x-1)
Question 2.
a line has a slope of 3 and goes through the point (6,-5) what is the equation of this line in standard form?
A. -3x+ y=-13
B. -3x + y=21
C. 3x+ y= 13
D. -3x y= -23
Question 3.
a line passes through the points (-4,-9) and (-2,-6) what is the equation of the line in slope- intercept form?
A. y=2/3x +3
B. y=3/2x-3
C. y=2/3x -3
D. y=2/3x+3
Answer:
whats the choice dudududududeudeudeududueduedudeuduededeudeudueduedeudeud ededeededede
Step-by-step explanation:
8^x = 2 write down the value of x
The required simplified value of the given expression is x = 1/3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3
Thus, the required simplified value of the given expression is x = 1/3.
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