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
Convert to find the equivalent rate.
1000сm/day= meters/week
4 x (22+5)
Simplify the expression.
Answer:
the simplified expression is 108x
Step-by-step explanation:
4x(22+5)
you can remove the parenthesis by multiplying 4x by everything inside of them.
4x * 22 + 4x * 5
88x + 20x
108x
Use the problem 34.65 ÷ 10³
I NEED HELP PLEASE HELP ME
Answer:
4 squares?
Step-by-step explanation:
Conditional statement
The label on a juice carton says there are 50 calories in a 4-ounce serving of juice.
Arthur drinks 12 ounces of juice.
How many calories will he consume?
A.48 calories
B.58 calories
C.150 calories
D.200 calories
Answer:
C. 150 calories
Step-by-step explanation:
I hope his helps. Have a good day!
Which of the following numbers is a composite number?
OA) 13
OB) 31
OC) 49
OD) 67
Step-by-step explanation:
First you will need to know what a composite number is.
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
see pic below
I think it would be OC) 49
(Because that is a composite number.)
[tex]hopethis helps[/tex]
Observe, in the drawing below, the length of Camila's bed.
In the image is the length of bed Camila which is: 1.80m
Question:
How long is Camila's bed, in centimeters?
I need the result and the and the de math account em pé
I ask for help with my niece's homework!
PLEASE HELP THIS IS OVER DUE.
Answer:
(-2,-4)
Step-by-step explanation:
Cant explain but its that one.
You buy a sandwich for $ 3.55 an apple for $0.65 and a bottle of juice for $2.45.What is the total cost?
The total cost of your items is $6.65. When asking for the total cost, they are asking you to add the values.
3.55 + 0.65 + 2.45 = 6.65.
Uh could you please help-
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
Answer:
2 tripsStep-by-step explanation:
first, we need to model an expression, the solve, say
let the total amount charged by taxi be y
and let the number of kilometers be x
y=2x+9
given that uber charges $5
then the number of taxi trips that will equal urber charge is
y=2x+9=5
5=2x+9
solving for x we have
2x+9-5=0
2x+4=0
2x=-4
x=-2
x=2 (x cannot be negative)
1.21x14=______x______=______
Answer:
1. 21 x 14 = 21 x 14 = 294
Step-by-step explanation:
Use a calculator
Answer:
1.21 x 14 = 4.84
What do you need in the blanks?
If you are looking for multiplications which equal 4.84 too, these are some:
14 x 1.217 x 0.691428570.17285714 x 28Step-by-step explanation:
please help me im despreate
Answer:
The answ is B
Step-by-step explanation:
Remember. Why is it called parallelogram. Look at the first section of the word parallelogram. You can see “parallel.” Rhombus has 4 parallel lines that are diagonal to each other.
First to answer correctly gets brainliest! (Asap please)
Answer:
Maybe 6000ft but im not completely positive
Step-by-step explanation:
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Answer:
Hannah is correct
Step-by-step explanation:
If it's a repeating decimal, is would be represented by 2.11 ..... But, that's not how it's represented. Therefore, Hannah is correct.
I hope this helps!
If you have 8 thousandths how many times would you multiply by 10
Answer:
-3
Step-by-step explanation:
8 thousandths = 0.008
8*10^-3=0.008
Please help! i dont understand
Answer:
3x2>n+2x7>n
Step-by-step explanation:
from what I understand, you're suppose to write what's its saying in numbers. so you have to write three times two more than the number n in numbers then add that expression with two times seven more than the number n. I hope I helped
if you are given two coordinate points, you need to first find the?
Answer: First you need to find the first point on the coordinate graph..which would be x then y. Remember run before you jump.
Step-by-step explanation:
The first point on the coordinate graph, x, must be identified first. Remember to run before you jump.
What is the coordinate points?A set of variables that accurately depicts a position. On a graph, the first number represents the distance along, and the second number represents the distance up or down. For example, the point (12,5) is 12 units down and 5 units up.
A coordinate plane is an organizing structure for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis. The coordinate plane is divided into four quadrants. The origin is where these lines intersect (0, 0).
A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x, y).
To learn more about coordinate points refer to:
https://brainly.com/question/11337174
#SPJ2
4) Find the Circumference of this circle.
4 cm
Determine o Conjunto Solução da equação do 2º grau abaixo. Deixe seus cálculos registrados.
x^{2}-25x+150=0
Answer:
x = 15, x = 10
Step-by-step explanation:
In math class, you have the following scores: 77, 82, and 73. If the
last test has a maximum of 100 points, what score do you need for
an average of 80?
Answer: 88
Step-by-step explanation: 77+82+73= 232. So you need an 80 for average. So what you have to do is 80x4 and that equals to 320. last step is to subtract 320-232 and you get 88. 77+82+73+88=320.
Answer:
Did you actually get that score???
Actually, it is none- of my buisness, but no one will judge
and probably not for the 77 and 73 your grade just go's up 2 points if you get a 100
a group of teenagers are attending a sports event. the sporting event costs $8 to attend.
Answer:
lets say there are 4 teens, 8x4= 32 so it would cost $32
Since we don't know how many teenagers there are, let's represent them with a variable t!
8t=cost of "tickets"
Let's say T=7
8*7=56!
56 is the cost!
WILL MARK BRAINLIEST
Jerome has read 50 pages of a novel. He plans to read a certain number of pages, p, each day from Monday to Friday. Which inequality shows that Jerome wants to have read at least 85 pages by the end of the day on Friday?
A. 50 + 5p ≥ 85
B. 50 + 5p ≤ 85
C. 5 (50 + p) ≥ 85
D. 5 (50 + p) ≤ 85
Answer:
There ya go
Step-by-step explanation:
If Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85
Given that the number of pages he read each day is "p", the number of pages he will read from Monday to Friday is 5p (Monday to Friday is 5 days)If he has read 50 pages of a novel, the total number of books he has read will be 50 + 5pIf Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85
Learn more here: https://brainly.com/question/15816805
Goofy Golf ticket prices for kids under 12 years of age increased from $4.00 to $6.00 this year. What is the percent of increase in the tickets?
A. 60%
B. 50%
C. 40%
Answer C
Step-by-step explanation:
8 POINTS!! which of the transformations that could take Figure P to Figure Q.
Carrie needs to determine the number of towels that will fit each row along the back of the shower if the back of the shower measures 6 feet long and each towel is 2/3 a foot long which equation shows how to determine the number of tiles that will fit in each row
Answer:
6 / 2/3 = 9
Step-by-step explanation:
Carrie want to find out the number of towels that will fit each row along the back of the shower
The back of the shower measures 6 ft long
Each towel is 2/3 foot long
Therefore the equation which shows how to determine the number of tile that will fit in each row is
Since 1 tile is 2/3 foot long then the number the number of tile in each row is
= 6 / 2/3
= 6 ×3/2
= 18/2
= 9
x + y = -7
-x+ 4y = 17
X=
y =
Answer:
x= -9, y= 2
Step-by-step explanation:
5y=10
y=2
x+2=-7
x=-9
Answer:
x=-9y=2Step-by-step explanation:
[tex]x + y = - 7[/tex]
[tex] - x + 4y = 17[/tex]
[tex]y = - 7 - x[/tex]
[tex]x = 4y - 17[/tex]
[tex]y = - 7 - 4y + 17[/tex]
[tex]5y = 10 \\ y = 2[/tex]
[tex]x = 4y - 17 = 4 \times 2 - 17 = 8 - 17 = -9 \\ x = -9[/tex]
The graph represents a population of bacteria over a number of days, modeled with an exponential function. Based on the graph, which statement is true?
A.Initially there were 1,000 bacteria; the population will reach zero.
B.Initially there were 1,000 bacteria; the population will not reach zero.
C.Initially there were more than 1,000 bacteria; the population will reach zero.
D.Initially there were more than 1,000 bacteria; the population will not reach zero.
Answer:
The answer is B
Step-by-step explanation:
I got a 100% on the quiz
Answer:
B - Initially there were 1,000 bacteria; the population will not reach 0
Explanation:
Edg2020
Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.
Answer:
[tex]A=28.1\ cm^2[/tex]
Step-by-step explanation:
The area of a circular sector with a central angle θ and radius r is given by:
[tex]\displaystyle A=\frac{1}{2}r^2 \theta[/tex]
Note: The angle must be in radians.
We need to find both the radius and the angle in radians.
Diameter = 9.6 cm
Radius r=Diameter/2=4.8 cm
Angle in radians= Angle in degrees*π / 180
θ = 140*π / 180 = 2.4435 rad
Now we calculate the area:
[tex]\displaystyle A=\frac{1}{2}(4.8)^2 2.4435[/tex]
[tex]\boxed{A=28.1\ cm^2}[/tex]