50 POINTS!

You have $10,000 to invest, and three different funds from which to choose. The municipal bond fund has a 7% return, the local bank's CDs have an 8% return, and the high‐risk account has an expected (hoped‐for) 12% return. To minimize risk, you decide not to invest any more than $2,000 in the high‐risk account. For tax reasons, you need to invest at least three times as much in the municipal bonds as in the bank CDs. Assuming the year‐end yields are as expected, what are the optimal investment amounts?

Answer:

i think its 320

Step-by-step explanation:

i looked it up

Answer:

320

Step-by-step explanation:

To find the total sum, divide the sum of money by the percentage.

12 1/2% = 0.125

40/0.125 = 320

answer.

14 and 33

Step-by-step explanation:

lets use x for the smaller number and y for the other

x+y=47

3x=y+9

x=47-y

3(47-y)=y+9

141-3y=y+9

put the liketerms together

141-9=3y+y

132=4y. (divide both sides by 4)

y=33

x=14

Answer:

14&33

Step-by-step explanation:

x+y=47

3x=y+9

x=47-y  

3(47-y)=y+9

141-3y=y+9

141-9=3y+y

132=4y

y=33

x=14

Answer:

the value of a and b is 68

Step-by-step explanation:

the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.

Answer:

a = 68, b = 136

Step-by-step explanation:

The angle in the circle = 360°, thus

b = 360 - 224 = 136

The inscribed angle a between a tangent- chord is equal to half the measure of its intercepted arc, so

a = 0.5 × 136 = 68

a) 108°

Answer:

b) 54°

Step-by-step explanation:

a) By arc sum property of a circle.

[tex] m\widehat {AEB} + m\widehat {AB} = 360°\\

252° + m\widehat {AB} = 360°\\

m\widehat {AB} = 360°- 252°\\

\huge \red {\boxed {m\widehat {AB} = 108°}} \\[/tex]

b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:

[tex] m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\

\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\

\huge \purple {\boxed {m\angle BAC = 54°}} [/tex]

Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

Answer: 1, 2, and 4

Step-by-step explanation:

The graph with straight line is an function.

The second one shows about every has two single numbers instead of more than one output.

The third one shows the points, but -1 has more than one output, show it's not an function.

The final one shows the slope intercept form and it's just an function.

Answer:

1,2,4 also

Step-by-step explanation:

Answer:

C on EDG

Step-by-step explanation:

Answer: C on edge

Step-by-step explanation:

the range of the speeds after the course is smaller than the range of the speeds before the course.

Answer:

105 seconds

Step-by-step explanation:

To solve this, we can set up an equation.

First, let's find how far ahead Jillian is.

15*6=90

Jillian is 90 feet ahead.

Let's name the time that Samantha walks x.

7x is the distance Samantha walks.

90+6x is the distance Jillian walks.

We want to find how many seconds they have walked when the distance is equal.

So let's form an equation.

7x=90+6x

Subtract 6x from both sides.

x=90

Samantha needs to walk 90 seconds.

Jillian started 15 seconds before that.

90+15=105

Jillian had been walking for 105 seconds when the two girls had walked the same distance.

Answer:

Step-by-step explanation: (130-27)/4 = 25.75 im not sure how you want to round it

Answer:25

Step-by-step explanation: to round 25.75 you have to round it 25 but i believe 25.75 is less than 5 we simply remove the fractional part to get the answer.25.Hope this helped.

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

Answer:

197.192

Step-by-step explanation:

The formula forthe area of a circle is 3.14r squared

so 3.14(20) 2(squared)=197.192

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200

Answer:15

Step-by-step explanation:

it could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Answer: 70

Step-by-step explanation:

Since the spot where the 3.5 and the 4 meet is 55 and there is 2 of that exact angle you can add them to get 110. 180-110 is 70 :)

Answer:

[tex]12^{\circ}[/tex]  [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

[tex]= \frac{360}{30}[/tex]

[tex]= 12^{\circ}[/tex]

The arc length is

[tex]= \frac{12}{360}(30)[/tex]

= 1 feet

And, the area of a sector between two cars is

[tex]= \frac{12}{360}(\pi (30)^2)[/tex]

= [tex]94.28\ ft^2[/tex]

We simply do the above calculations so that each item could be find out

Answer:

Step-by-step explanation:

What you just have to do is multiply 2 1/2 and 1 1/4, but i can still do it. 2 1/2 is the same as 5/2 , and 1 1/4 is the same as 5/4, so just multiply the top and the bottom and you will get 25/8 whicxh is basically 3 and 1/8

Answer:

[tex]5x^{x}[/tex]

Answer:

see below

Step-by-step explanation:

The mean is the sum of all the terms divided by the number of terms

The median is the middle number  when the terms are arranged smallest to largest

The mode is the number that appears most often ( most frequently)

Answer:

Median: C

Mode: B

Mean: A

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We are hoping for 2 of the 20, and 2/20 simplified equals 1/10

C: 1/5 chance.

There are 20 possible outcomes, with 4 involving chicken and 4 involving ribs.

However, only 2 of each of those involves red sauce.  

So the possibilities of getting a red sauce with chicken or ribs is 4.

4/20 = 1/5.

All that is needed to do is to simplify the expression.

The answer to your question is:

[tex]6 x^{6}[/tex] - [tex]10 x^{3}[/tex] + [tex]8x^{2}[/tex]

Hope I helped!

Answer:

the angles would either be 20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

[tex]\dfrac{3a^4b}{7}[/tex]

Step-by-step explanation:

[tex]\dfrac{15a^6bc^4}{35a^2c^4}= \\\\\dfrac{15}{35}\times\dfrac{a^6}{a^2}\times\dfrac{c^4}{c^4}\times b= \\\\\dfrac{3}{7}\times a^4 \times 1 \times b=\\\\\boxed{\dfrac{3a^4b}{7}}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5)+(7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x= 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6(13.15)+5 = 83.9°

The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°

Answer:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Step-by-step explanation: exact answer

Answer:

[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant II.

[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]

From trigonometry, we know that:

[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]

Now, in Quadrant II,

Therefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]

Therefore:

[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Answer:

2,3,5,6

Step-by-step explanation:

Answer:

1. x ≥ 0

2. x ≥ -2

3. x ≥ 2

4. x ≤ 2

5. x ≤ 0

6. All real numbers

Step-by-step explanation:

Domain of square function:

Suppose we have a square function in the following format:

[tex]f(x) = \sqrt[n]{g(x)}[/tex]

If n is even, the domain of f(x) is:

[tex]g(x) \geq 0[/tex]

Otherwise, if n is odd, the domain of f(x) is all real numbers.

1. S(x) = √x

If n does not appear is that it is 2.

g(x) = x

So the domain is:

[tex]x \geq 0[/tex]

2. H(x) = √2+x

g(x) = 2 + x

So

[tex]2 + x \geq 0[/tex]

[tex]x \geq -2[/tex]

3. Z(x) = √x-2

g(x) = x - 2

[tex]x - 2 \geq 0[/tex]

[tex]x \geq 2[/tex]

4. Q(x) = √2-x

g(x) = 2 - x

[tex]2 - x \geq 0[/tex]

[tex]-x \geq -2[/tex]

Multiplying by -1, everything

[tex]x \leq 2[/tex]

5. V(x) = √-x

g(x) = -x

Then

[tex]-x \geq 0[/tex]

Multiplying by -1

[tex]x \leq 0[/tex]

6. N(x) = ^3√2-x

Cubic root(odd number), so all real numbers.

Answer:

No real roots or no real zeros.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x+18[/tex]

We need to find the number of real zeroes.

The given function is a quadratic function.

Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].

If [tex]b^2-4ac<0[/tex], then the function has no real root.

If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.

If [tex]b^2-4ac>0[/tex], then the function has two real roots.

In the given function,

[tex]a=1,b=-3,c=18[/tex]

So,

[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]

The value of discriminant is -63.

Therefore, the given function has no real root or no real zeros.

Answer:

The discriminant value of F is -63

F has 0 distinct real number zeros

Step-by-step explanation:

Answer: SSS

The markings on the two triangles display side congruencey.

So AC is congruent to EC and etc. There are three pairs of side markings, so that means the two triangles are congruent because of the side, side side postulate.

Answer: 65 + 5x ≥200

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

Janice's savings (65) plus the product of the amount she saves per week (5) and the number of weeks (x) must be higher or equal to $200.

Mathematically speaking:

65 + 5x ≥200

If we solve it for x:

5x ≥200-65

5x ≥135

x ≥ 135/5

x ≥ 27 weeks

Feel free to ask for more if needed or if you did not understand something.

Answer:

10.7...........................................