Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
If CE bisects ZBCD and if m ZBCE = 3x - 6
and mZECD = 2x + 11, find mZBCD. Is
ZBCD acute, right, or obtuse?
Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
If a ray bisects an angle, that means it divides the angle into two equal parts in measure
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD = [tex]\frac{1}{2}[/tex] m∠BCD
∵ m∠BCE = 3x - 6
∵ m∠ECD = 2x + 11
→ Equate them to find x
∴ 3x - 6 = 2x + 11
→ Add 6 to both sides
∵ 3x - 6 + 6 = 2x + 11 + 6
∴ 3x = 2x + 17
→ Subtract 2x from both sides
∵ 3x - 2x = 2x - 2x + 17
∴ x = 17
∵ m∠BCE = [tex]\frac{1}{2}[/tex] m∠BCD
→ Substitute x in the measure of ∠BCE to find it, then use it to
find m∠BCD
∵ m∠BCE = 3(17) - 6 = 51 - 6
∴ m∠BCE = 45°
∵ 45 = [tex]\frac{1}{2}[/tex] m∠BCD
→ Multiply both sides by 2
∴ 90 = m∠BCD
∴ m∠BCD = 90°
→ The measure of the acute angle is less than 90°, the measure of
the obtuse angle is greater than 90°, and the measure of the
right angle is 90°
∴ ∠BCD is a right angle
Help ASAP ‼️If m∠A=5x-12 m∠B=2x+18 ∠A and ∠C are supplementary and ∠B and ∠C are supplementary, find x.
i need help please for geometry
Answer:
EF ≈ 1.98
Step-by-step explanation:
Using the sine ratio in the right triangle
sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EF}{FD}[/tex] = [tex]\frac{EF}{4.5 }[/tex] ( multiply both sides by 4.5 )
4.5 × sin26° = EF
4.5 × 0.44 = EF , that is
EF ≈ 1.98 ( to 2 dec. places )
The distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Venus from the Sun? A 0.4 • 10^8. B 0.4 •10^9. C 1.4 • 10^9. D 1.4 • 10^10
the distance is s mil lion
Answer:
million
Step-by-step explanation:
So I was ordering me food that cost $16.13. And I have $15 and 4 quarters, 1 dime and 5 pennies. How can I make it work? Can I use the extra dollar with the 4 quarters so that I have $16?
Answer:
Technically, it already works because you have $16.15
Step-by-step explanation:
place the items in order from lowest to highest degree of internal organization
stomach
digestive system
epithelial stomach cell
stomach lining tissue
Answer:
Simplest
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
Most complex
Answer:
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
I hope this helps
In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.
Answer:
Angle BCD is 13 degrees
Step-by-step explanation:
Here, we want to find the measure of angle BCD
To get this, we need an appropriate diagram. The diagram can be seen in the attachment.
To find the value of BCD, we can use an important triangle theorem.
This is that the sum of opposite interior angles of a triangle equals the exterior angle.
Thus, we have that;
BCD + DBC = CDE
hence;
3x + 5 + 2x + 3 = 9x-12
5x + 8 = 9x -12
9x-5x = 8 + 12
4x = 20
x = 20/4
x = 5
So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13
Answer:
13°
Step-by-step explanation:
just solved on delta math
A polygon is shown on the graph:
A polygon is shown on a coordinate plane. Vertex A is located at 2 comma negative 1, vertex B is located at 1 comma negative 4, vertex C is located at 3 comma negative 5, vertex D is located at 5 comma negative 3.
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.
Answer:
4 units left : subtract 4 from each x coordinate
3 units down : subtract 3 from each y coordinate
Step-by-step explanation:
pls help before 11:59
Answer:
78 Degrees
Step-by-step explanation:
Two supplementary angles:
4x + 2 + 3x + 3 = 180
Combine like terms:
7x + 5 = 180
Simplify
7x = 175
x = 25
(25)3 + 3 = 75 + 3 = 78
Angle DCB is 78 degrees
Answer:
78 Degrees
Step-by-step explanation:
Two supplementary angles: (GIven)
4x + 2 + 3x + 3 = 180
Combine like terms:
7x + 5 = 180
Simplify
7x = 175
x = 25
(25)3 + 3 = 75 + 3 = 78
So,
Angle DCB is 78 degrees.
I hope it will help you :)
Suppose each stock in Andre’s portfolio has a correlation coefficient of 0.40 (rho = 0.40) with each of the other stocks. The market’s average standard deviation is approximately 20%, and the weighted average of the risk of the individual securities in the partially diversified four-stock portfolio is 39%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.30 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio’s standard deviation?
Answer:
Explained below.
Step-by-step explanation:
The correlation coefficient for the portfolio with each of the other stocks is 0.40.
This correlation coefficient is less than 1. This implies that the portfolio’s assets are weakly correlated with each other.
The portfolio profits from modification. Randomly selected stocks are added to the portfolio.
The correlation coefficient of these stocks with the other stocks in the portfolio is about 0.30.
Therefore adding these randomly selected stocks will decrease the portfolio’s standard deviation.
Company-specific risk in portfolio can be reduced by this diversification but systematic or market risk can’t be eliminated. Thus the risk will (σ) decrease slowly until σp reaches to the average standard deviation of returns on the market i.e. about 20 %.
what is 3^4*3^3 expressed as a power?
A.9^7
B.3^3
C.3^7
D. 3^12
If you answer this question CORRECTLY ill give you 20 brainliests:)) plz try to help me before 2:00pm tmr thx<3
[tex]3^4 * 3^3[/tex]
Exponent rule states that you can add the powers.
which means that the answer is C
[tex]3^7[/tex]
Hope this helped.
The volume of a rectangular prism is 240 cm3. The height and width are each 4 cm. What is the length?
Answer:
length is 15 cm
Step-by-step explanation:
4 * 4 * x = 240
16x=240 : divide by 16 on both sides
x = 15
then to check
15 cm x 4 cm x 4 cm = 240 cm^3
pls help how do you do this??
-1 1/5 * 6 -1 5/6 * 5
-1 6/30 divided by -1 25/30
-4/30
i think thats the answer sorry if im wrong :(
i need help right now and asap this is the question and if u answer i will give brainliest and whatever it is i will give it anyway here it is
Philosophers during the Enlightenment of the 1600s and 1700s
a were most concerned with faith and religion.
b were disdainful of art and science.
c used emotion as a guiding principle.
d used reason to try to improve people’s lives.
Answer:
Sorry if I'm late!!!
D. Used reason to improve people's lives
Explanation:
The enlightenment was a time when philosophers challenged the teachings of the catholic church.
48x3 +128x2 − 75x − 200 factor
12x = 40.8 find the number for the variable
4.3
3.4
4.4
489.6
Answer:
3.4
Step-by-step explanation:
Equation:
12x = 40.8
Isolate the variable:
x = 40.8/12
x = 3.4
Answer:
x = 3.4
Step-by-step explanation:
12x = 40.8
40.8 / 12 = 3.4
x = 3.4
Which describes the slope of the given line?
Answer:
Negative
Step-by-step explanation:
because it's going down towards the right.
the perimeter of the pentagon below is 63 units. Find the value of x
Answer:
7
Step-by-step explanation:
2x+10+11+(x+2)+(3x-2)=63
2(7)+10+11+(7+2)+(3(7)-2)=63
x=7
7 is the value of x
What are sides of a pentagon with different sides ?
If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.
Given,
side 1 = 2x
side 2 = 10
side 3 = x+2
side 4 = 11
side 5 = 3x-2
Sum of all the sides of the pentagon,
2x+10+(x+2)+11+(3x-2)=63
2x+10+x+2+11+3x-2=63
6x+21=63
6x=63-21
6x=42
x=42/6
x=7
Read more about pentagon here :
https://brainly.in/question/17054992
#SPJ2
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that Cathy ends up repaying
Answer: this answer makes no sense
Step-by-step explanation:
Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?
miles, and on the second day she ran
miles.
Answer:6 miles
Step-by-step explanation:
Answer:
First Day: 8
Second Day: 12
OF COURSE CORRECT.
help me please. Alejandro babysits in the evenings. He makes a graph to show the money
earns. How much money does Alejandro earn for each hour of babysitting?
How do you know?
Water is poured into a container at a steady rate. After six minutes, 9.6 gallons of water are in the container. Let g represent the number of gallons of water in the
container after t minutes.
Select the equation that represents the relationship between g and t.
g= 0.6254
gt = 0.625
1.6g =1
g = 1.6t
Answer:
g = 1.6t
Step-by-step explanation:
Here, we want to select the equation that shows the correct relationship between g and t
We are told that after 6 seconds, we have 9.6 gallons of water
So the amount per second will be 9.6/6 = 1.6 gallons per second
So the relationship between the two will be
g = 1.6t
Where t is the time and g is the gallons
Find the midpoint of the line segment joining the points (-1,-1) and (-3,12)
The midpoint is a
(Simplify your answer. Type an ordered pair.)
Answer:
(−2, 11/2)
Step-by-step explanation:
the answer is (-2, 11/2)
CAn you guys help !!!!!!!!
Answer:
A.)
Step-by-step explanation:
explain how to solve it?
6 = 3 x - 9
Answer:
5
Step-by-step explanation:
Step 1:
6 = 3x - 9 Equation
Step 2:
15 = 3x Add 9 on both sides
Step 3:
x = 15 ÷ 3 Divide
Answer:
x = 5
Hope This Helps :)
Answer: 5
Step-by-step explanation:
6 = 3x - 9
+9 + 9
15 = 3x
/3 /3
5 = x
what is the inverse of f(x) = 1/3 x + 2
A. h(x) = 1/3 x + 3
B. h(x) = 1/3 x - 2
C. h(x) = 3x -2
D. h(x) = 3x - 6
if we are taking the same eduinuity quiz then this is the correct answer
Answer: D.h(x)=3x-6
i hope this helps cause i'm doing the assingment rn
The front of a box and the sticker label on it are similar
rectangles. The front of the box has a width of 9 inches
and a length of 12 inches. Which dimensions could be
the dimensions of the sticker label?
Answer: 6 in by 8 in
Step-by-step explanation:
help asap for brainliest!
Write an equation. Is the given value a solution?
. A truck driver drove 468 miles on Tuesday. That was 132 miles farther than she drove on Monday. Let d represent the distance she drove on Monday. Did she drive 600 miles on Monday?
Answer:No she did not she drove 336 miles
Step-by-step explanation:
Answer:368
Step-by-step explanation:
The sum of 9 times a number and 8 is 7. Use the variable c for the unknown number
Answer:
9c + 8 = 7
Step-by-step explanation:
The temperature at midnight was -6 degrees celsius. By 7 am, it had risen 6.5 degrees. By noon, it had risen another 3.9 degrees. Then a storm blew in, causing it to drop 4/25 degrees by 6 am. what was the temperature at 6pm?
Answer: 4.15 degrees
Step-by-step explanation:
-6 + 6.5 + 3.9 - 4/25 = -6 + 6.5 + 3.9 - 0.25 = 4.15 degrees (assuming that the am in the fourth sentence is a typo)