Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.


The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?

How long will it take the fund she invested in to be worth $10,000?

Answers

Answer 1
Answer it 8 years until she invested worth

Related Questions

Which of the following is a statistical question?
Select one:

How many of Mrs. Malone's students earned an A for the first nine weeks?

How many students missed question #5 on Mrs. Malone's math test yesterday?

How many of Mrs Malone's students turn in their homework each day?

Answers

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

See below for answers and explanation

Step-by-step explanation:

A statistical question has variability in collecting the data, and doesn't have one definitive answer:

Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.

Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.

Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.

Hence, Question 3 is a statistical question

Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3

Answers

The equation that represents the directrix of y² = 12x is x = -3

How to determine the directrix?

The parabola is given as:

y² = 12x

The general equation of a parabola is

(y-y₀)² = 4a(x-x₀)

Where the equation of the directrix is x = x₀ - a

By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:

4a = 12 and x-x₀ = x

Solve for a in 4a = 12

a = 3

Solve for x₀ in x-x₀ = x

x₀ = 0

Substitute a = 3 and x₀ = 0 in x = x₀ - a

x = 0 - 3

Evaluate

x = -3

Hence, the equation that represents the directrix is x = -3

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Simplify 12 raised to 2/5 into 5 raised to 2/5

Answers

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]

[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]

[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]

[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]


[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
​I NEED HELP ASAP!

Answers

The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

What is the Length of an Arc?

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?

Answers

She can simplify it further by dividing with 3 on both numeration and denominator.

So new answer will be 3/5

Have a good day.

Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line ​

Answers

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

The condition for two parallel lines.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

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Does anybody know how to solve this?

Answers

The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be

Area = (10x + 10)(4x + 20)

Area = 40x² + 200x + 40x + 200

Area = 40x² + 240x + 200

Area = 40(x² + 6x + 5)

If the width is 160 feet then the value of x will be

4x + 20 = 160

       4x = 140

         x = 35

Then the area of the rectangle will be

Area = 40(35² + 6 × 35 + 5)

Area = 40(1225 + 210 + 5)

Area = 40 (1440)

Area = 57,600 square ft

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If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g

Answers

The value of cos x⁰ from the information given is; g/h.

What is the value of cos x⁰?

According to the task content;

The value of cos x° from the information contained in the task content is required.

From conventional Trigonometry;

It follows that tan x = sin x/cos x.

On this note, it follows that;

cos x⁰ = sin x⁰/tan x⁰.

cos x⁰ = 6/h ÷ 6/g

cos x⁰ = g/h

Ultimately, the value of Cos x⁰ by evaluation is g/h.

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Answer:

cos x° = g divided by h

Step-by-step explanation:

I need the numbers please con y’all help me

Answers

Answer:

[tex]y=\frac{2}{3}x+4[/tex]

Step-by-step explanation:

Calculate the slope by using rise over run to get 2/3x

The Y Intercept is 4

> 4

Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?

Answers

12+12 is 24. Therefore the total amount they are was 24/no. Of popcorn in the bag

If f(x) = 2x + 7, find f(5) ​

Answers

Answer:

17

Step-by-step explanation:

f(x) = 2x+7

Let x =5

f(5) = 2*5 +7

     = 10+7

    = 17

There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?

Answers

Answer: 97/125

Step-by-step explanation:

Helppp!

The net of a solid figure is shown below:

Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches


Which calculation will give the total surface area of the solid figure?

3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches

Answers

Answer:

It's the the 4th one. 6.3.3

Match each cone to its corresponding volume imaged attached down below.

Answers

Answer:

Left side                                  Right side

1                                                   3

2                                                  2

3                                                  1

Step-by-step explanation:

left side on the picture right side on the picture

Cara brought $34.50 to the art supply store. she bought a brush, a sketchbook, and a paint set. the brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. cara had $2.00 left over after buying these items.

Answers

Using a system of equations, it is found that the cost of a paint set is of $19.50.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.

Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:

x + y + z = 32.50.

The sketchbook cost half the cost of the paint set, hence:

y = 0.5x.

The brush cost one third of the sketchbook, hence:

z = 0.3333(0.5x) = 0.1667x.

Then, to solve for x:

x + y + z = 32.50

x + 0.5x + 0.1667x = 32.50

x = 32.50/1.6667

x = 19.50.

The cost of a paint set is of $19.50.

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Find the area of a circle with a radius of 9. Leave the answer in terms of π.

Answers

Answer:

A = 81π units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 9² = 81π units²

PLEASE HELP! WILL GET BRAINLEST

Answers

Answer:

See below ~

Step-by-step explanation:

Question 12

Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 times

Question 17

Part A

Possible outcomes = {HT, HH, TH, TT}

Part B

P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4

1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft

Answers

Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:



Like Pies

Do Not Like Pies

Total

Like Sandwiches

25

43

68

Do Not Like Sandwiches

26

6

32

Total

51

49

100



If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%

Answers

Answer:

18.8%

Step-by-step explanation:

For calculating this, focus on one part of the table :

The row where students do not like sandwiches

There are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :

P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%

Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line

Probability

P(E)=6/32P(E)=6/32×100=3/16×100=18.8%

Option D

please awnser quickly

Answers

Answer:

R' (- 1, 6 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

R (- 1, - 6 ) → R' (- 1, 6 )

Answer:

the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts  to help you know everything you need in case of future problems.

So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)

so hopefully that is the correct answer and have a great day.

remember first is x and then y

Step-by-step explanation:

What fraction of a clock is represented if the hands are at the 12 and 3

Answers

Answer:

fraction :4

Step-by-step explanation:

if a = 5+2√6 then find a²-1÷a²

Answers

Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7


What is the ratio of lines b : c if A is 77°

Answers

Answer:

3rd option

Step-by-step explanation:

the ratio of b : c is the cos77° , that is

cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.

Which is the graph of y-3=-2/3(x+6)

Answers

Answer:

The first graph.

You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]

                   = [tex]\frac{1}{6}[/tex]

Charlie raked 23 piles of leaves. jessie raked 14 piles of leaves.

how many more piles of leaves did charlie rake than jessie?

Answers

difference of leaves : 23-14=9

answer : 9

Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths

Answers

This looks similar to one of my questions I’ll be back if I find the answer

Answer:

A

Step-by-step explanation:

10 10 x 10 10 x 10x10 x10

Answers

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10


So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

Answer:

Step-by-step explanation:

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10

So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths

Answers

Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

[tex]\frac{4}{9}[/tex]

What is the average rate of change of a function over an interval?

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

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Answer:

B

Step-by-step explanation:

4/13

Which is the graph of f(x) = x^2 – 2x + 3?

Answers

Answer:

The first graph

Step-by-step explanation:

-2x is the key here, when you add a subtraction sign to the x-axis it goes right.

+2x would be the graph on the bottom because it is translated to the left.

So the first graph on your picture is the answer.

Answer+Step-by-step explanation:

x² – 2x + 3 = (x - 1)² + 2

Then

The vertex of the parabola is the point (1 , 2)

then

The graph number 1 (on top) is the one which represents f

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