Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?

Answers

Answer 1

Answer:

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]

Step-by-step explanation:

Total amount with Tamara = $30,000

Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.

She wants to invest no less than $8,000 into corporate bonds.

So, the inequality is [tex]8000\leq x[/tex]    

Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.

[tex]3y\leq x[/tex]    

The system of inequalities describes Tamara’s investment options are as follows:

[tex]8000\leq x[/tex]

[tex]3y\leq x[/tex]


Related Questions

Can someone help me with this geometry problem tysm

Answers

Answer:

2x=128 x=64

Step-by-step explanation:

64x 2 =128

Can you help me please

Answers

Answer:

Using trigonometry:

Let's take Tan of 60 degrees:

Tan 60 degrees = Opposite / adjacent

We can see that the opposite side is 3√3 and the adjacent side is x

Tan 60 degrees = 3√3 / x

From the trigonometric table, we know that Tan 60 degrees is √3

√3 = 3√3 / x

x = 3√3 / √3

x = 3

Now, we will take Sin of 60 degrees

Sin 60 degrees = Opposite / Hypotenuse

We can see that the opposite side is 3√3 and the hypotenuse is y

Sin 60 degrees = 3√3 / y

From the trigonometric table, we know that Sin 60 degrees is √3 / 2

√3/2 = 3√3 / y

y = 3√3 / (√3/2)

y = 3√3 * 2/√3

y = 6

Therefore, y = 6 and x = 3

Help answer this please!!!!!!!!!

Answers

Answer:

210 yards

Step-by-step explanation:

You are told that the two triangles (trails) are similar (since Perry wants to construct a similar trail to Hillsville's) this means that there is a scale factor meaning the length of one side of the Hillsville trail * scale factor = length of corresponding side of Perry's trail)

1. One side of the Hillsville trail that measures 400 yards corresponds to the 280 yard side of Perry's trail so the scale factor is

280/400 -> 7/10

2. Use the scale factor to find n since you know that the length of one side of the Hillsville trail * scale factor = length of corresponding side of Perry's trail

n = 300 * 7/10 -> n = 210

210 yards because uhh I think

Joe makes $9.00 per hour. He gets time and a half for overtime. What would his total pay be for a week where he worked 48 hours?

Answers

Answer:

$432

Step-by-step explanation:

9.00 times 48

Answer: 48* 9.00= 43200

Step-by-step explanation: 48 *9.00=43200

ANSWER NOW PRONTO STACKED PLSSSSSS 20 POINTS

lacey is at -7.5 and noah is at 4.2 what iS the distance between them

Answers

Answer:

6.7 I think

Step-by-step explanation:

hope this helps

Answer: 11.7 apart

Step-by-step explanation:

whats 9×9 how do you get the answer​

Answers

Answer:

9 × 9 = 81

This is basic 12x12 tables math

Answer:

81

Step-by-step explanation:

you just take 9 and times it by 8 and you get 81

What is the equation of the line that passes through the point (5,-7) and has a slope of negative 1

Answers

Answer:

y = -x - 2

Step-by-step explanation:

Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.

Since you are given a point, plug the x and y values in to the equation.

-7 = -(5) + b

Solve for b:

-7 = -5 + b

-2 = b

Knowing "m" and "b", plug these in to get your final equation

y = -x - 2

OHHHHHHHHHHHHHH WHO LIVES IN A PINEAPPLE UNDER THE SEA _______?

Answers

Answer:

Sponge Bob Square Pants!

Absorbent and yellow and porous is he.

Sponge Bob Square Pants!

If nautical nonsense be somethin' ya wish.

Sponge Bob Square Pants!

Then drop on the deck and flop like a fish.

Sponge Bob Square Pants!

Ready?

Sponge Bob Square Pants,

Sponge Bob Square Pants,

Sponge Bob Square Pants,

Sponge Booob Square Paaants!

Ah Ha Ha, Ha Ha Ha, Ha, hArgh wh..arire..Ha arrrigh.

Step-by-step explanation:

HELP ASAP

The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance,
X, represented by 30 inches on the map?
2 30
15
2 X
1530
15
2
0 30
15 X
302

Answers

Answer:

The proportion that can be used is  

2 inches           30 inches

15 miles                   x

Step-by-step explanation:

If 15 miles is 2 inches and 30 divided by 2 is 15, you have to multiply 15 by 15 to figure out how many miles 30 inches is. Because 15 x 15 = 225, 30 inches is 225 miles. Therefore, x = 225.

What is the slope-intercept form of 9x + 3y = 15?

Answers

Answer:

y = -3x + 15

Step-by-step explanation:

9x + 3y = 15

subtract 9x from both sides of equation

3y = 15 - 9x

isolate y by dividing

y = 15 -3x

rewrite

y = -3x + 15

Answer:

The answer is y = -3x + 5

Step-by-step explanation:

I took the quiz and got it correct.

Laura sells beaded necklaces each large necklace sells for $6.80 and each small necklace sells for $5.10 how much will she earn from selling three large necklace and one small necklace

Answers

Answer:

25.5

Step-by-step explanation:

3 large necklaces equals 20.4 plus 5.10 equals 25.5

What is 441,902 rounded to the nearest ten thousand?

Answers

Answer:

440,000

Step-by-step explanation:

The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

Calculation of the number:

Since the given number is 441,902

We have round the above number to the nearest ten thousand

Since the thousand is less than 5,000 so here it should be 440,000

hence, The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

Learn more about number here: https://brainly.com/question/17166653

Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.
Question 8 options:


19 minutes2 miles



912 minutes1 mile



1 mile912 minutes



912
miles per minute.

Answers

Answer:

19 minutes in 2 miles is how long it tool her to run it

Step-by-step explanation:

Answer:

9 1/2

Step-by-step explanation:

took test

I can't find the right answer I keep getting it wrong

Answers

Answer:

not sure ia may give wrong answer

The answer is D
Hope this helped

A pallet full of soda contains 40 12-packs. The pallet itself weighs about 25 lbs and with
the pop weighs 410 lbs. How much does a can of pop weigh?

Answers

Answer:

0.802 lbs or 12.8 ounces(British).

Step-by-step explanation:

Weight of the pop = 410 - 25 = 385 lbs.

40 12-packs contains 40*12 = 480 cans,

So the weight of one can = 385 / 480

= 0.802 lbs

or about 12.8 ounces(British).

What are the solutions to lx + 2) = -13?
A. X=15 and 11
B. X=-15 and 11
C. X=-11 and 15
D. No solution

Answers

Answer:

B

Step-by-step explanation:

Because -15 + 2 = -13

Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales in Quarter 4 of the next year are predicted to be

Answers

Answer:

Y(2)= 2120+ 48= 2168

Step-by-step explanation:

The given equation is

Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t

Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are

Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0)  + 24 (1)

Y(1)= 2120 + 24 = 2144   ( for year =1)

Y(2)= 2120+ 48= 2168    ( for year =2)

Y(3)= 2120 + 72= 2192   ( for year =3)

where t is the number of years.

So for the next year the fourth quarter sales are predicted to be 2168.

Please answer. View picture.

Answers

Answer:

I want to say 1, 3 and 5

Step-by-step explanation:

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula I = p r t?

I
p
r
t

Answers

Answer:

the CORRECT answer is p

Step-by-step explanation:

The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.

Given that, principal (P)=$4,383, R=5.2% and T=3 years.

What is simple interest formula?

The formula to find the simple interest is S.I=P×T×R/100.

Where, P= Principal, R= Rate of interest and T= Time period.

Now, S.I=4,383×3×5.2/100

=$683.748

The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.

To learn more about the simple interest visit:

https://brainly.com/question/22621039.

#SPJ2

Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. He designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. He then repeat the process seven times. Which statement must be true?
A. The experiment is not a binomial experiment because there is not a fixed number of drawings.
B. The experiment is not a binomial experiment because the probability of choosing a green marble is the same for each drawing.
C. The experiment is not a binomial experiment because the probability of choosing a green marble is not the same fo each drawing.
D. The experiment is not a binomial experiment because there are only two possible outcomes for each drawing.​

Answers

Answer:

C: The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.

Step-by-step explanation:

Just took the Binomial Distribution Quiz on Edge.

The experiment is not a binomial experiment because the probability of choosing a green marble is not same for each drawing

What is binomial experiment ?

An experiment consisting of a fixed number of independent trials each with two possible outcomes, success and failure .

The experiment is not  a binomial experiment because the probability of choosing a green marble is not the same for each as after drawing the marble from hat , he is laying the marble aside and not putting it back into the hat  which altered the probability every time because total number of marbles are decreasing after every turn of drawing.

hence , correct answer is

option c

lets us learn more about Binomial Experiment

https://brainly.com/question/15351475?referrer=searchResults

#SPJ2

A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?

The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.

Answers

Answer:

B. The 95% confidence interval is from about 82.87 to 88.33 miles.

C. The margin of error for 99% confidence is about 3.59 miles.

Step-by-step explanation:

No cheese detected or anything hehehe

Please help
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

Answers

Given:

The function is

[tex]r(x)=0.05(x^2+1)(x-6)[/tex]

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

[tex]r(x)=0.05(x^2+1)(x-6)[/tex]

[tex]r(x)=0.05(x^3+x-6x^2-6)[/tex]

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

Answer:

Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

Step-by-step explanation: I got it right

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24

Answers

y = mx + b

6y = 3x - 24

2y = x - 8

y = [tex]\frac{1}{2}[/tex]x - 4

Answer:y = mx + b

6y = 3x - 24

2y = x - 8

y = x - 4

Step-by-step explanation:

Just took the test

A square has a side length of 19 in. What is the area?

Answers

Answer:

A=a2=192=361in²

Step-by-step explanation:

Create an expression as close to zero as possible using numbers one through nine

Answers

Answer:

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to create an equation such that the solution is as close to zero as possible. ... 8 > Expressions & Equations > Create an Equation with a Solution Closest ...

Step-by-step explanation:

Complete the following truth table. Use T for true and F for false.
what is the answer

Answers

the answer is....

f
t
t
f
mark me brainliest or else

2/3÷2 1/3= dividing fractions

Answers

Answer:

3/3

Step-by-step explanation:

3/3

3.5 or 3 1/2 just comment if you need to show work :)

What is the x and y-intercept 15x + 8y = 120x

Answers

Answer:

x=(0,8)

y=(15,0)

Step-by-step explanation:

X = (0.8)
Y=(15,0)
Hopes this helps

What percent of the employees earn more than $400 per week?​

Answers

Answer: 26%

Step-by-step explanation:

Only 13 out of the 50 make more than 400$ a week. So it’s 13/50=26%

Answer:

26%

Step-by-step explanation:

find the total

19+18+8+5=50

find the ppl who earn >400

last 2 columns

8+5=13

find the percent

13/50=26/100

=26%

SHOW WORK ILL MARK BRAINLIST !!!!

Answers

Answer:

8x-16

Step-by-step explanation:

2 + 3x-9 + 1 -10 +5x

-16 + 8x so 8x-16 is your answer

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