Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?

Answers

Answer 1

Answer:

$4786.72

Step-by-step explanation:

4000(1+0.03/6)^12(3)

Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.


Related Questions

Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?

Answers

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years​

Answers

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

Dora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make?

Answers

Answer:

[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]

you made 27 of the invitations

The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6

Answers

Answer:

answer is x=5, not x=6

Step-by-step explanation:

I don't really understand how this is structured, but the correct way of solving this is

2(3x − 4) = 8 + 2x + 4

do distributive property.

6x - 8 =  8 + 2x + 4

subtract 2x on both sides.

you get...

4x - 8 = 12

add 8 on both sides.

4x =20

divide by 4

x = 5

2 m
6 m
Volume = Base x height
Find the volume of this cylinder.

Answers

Base = (pi)(r^2) = 3.14 (2m)^2 = 3.14 (4m^2) = 12.56m^2

Base x Height = (12.56m^2) (6m) = 75.36m^3 (A.)

Hi guys can you please do this only question 6 and 8 ty

Answers

Question 6

End ÷ Initial  = Growth + 1         (percent increase problems)

6,500/5,000 = 1.30

1.30 - 1 = 0.30

30% increase

Question 8

End ÷ Initial  = 1 - Growth         (percent decrease problems)

10.75/15.50 = 0.69

1 - 0.69 = 0.31

31% decrease

I hope this helps!

Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?

The discounted price for milk is $____(Round to the nearest cent.)

Answers

Answer:

$2.25

Step-by-step explanation:

You have to set up a proportion to show how much the cost of milk is when discounted per gallon. 0% off, the milk would be $3.75. 40% off, the milk would be x. Now I flipped the percents because that is how much you are actually paying.

Proportion would look something like this:

3.75/100 = x/60

solve for x:

225 = 100x

x= 2.25

The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi

Answers

Answer

A = 30.25pi. PLS GIVE BRAINLIEST

Step-by-step explanation:

so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.

Radius: 11pi/2 = 5.5pi = 5.5 is radius

Area = pi * r^2

so Area = pi*5.5^2

so A = 30.25pi left in terms of pi

Answer: 11/4pi

Step-by-step explanation:

Hello, can you help me out with this please i will give brainlist :D

Answers

Answer:

2.23

Step-by-step explanation:

X+6
Given f(x) =
x2 - 9x +18
which of the following is true?

Answers

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Increasing and decreasing function

Given the rational function expressed as:

f(x) = x+6/x^2-9x+18

To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x

x + 6 = 0
x = -6

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

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A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675

Answers

The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

How to solve the decimals?

From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.

In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.

Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

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Which of the following functions best models the data represented by the scatterplot shown below


y=25x+20


y=160x−100


y=8x2+10


y=2x+12

Answers

Answer:

I am pretty sure the answer is going to be y=25x+20 :)

Have an amazing day!!

Please rate and mark brainliest!!

The correct function for the given data representation will be,

y = 8x² + 10

What is Function?

A relation between a set of inputs having one output each is called a function.

Data representation is given by the scatterplot in the graph.

Now,

Take a function y = 8x² + 10

Then, Check each point on the x - axis for the value of y - axis.

So. Substitute x = 1 in the function we get;

y = 8 × 1 + 10

y = 8 + 10

y = 18

So, Point is (1, 18)

For, x = 3

y = 8 × 3² + 10

y = 72 +10

y = 82

So, Point is (3, 82)

For, x = 5

y = 8 × 5² + 20

y = 200 + 20

y = 220

So, Point is (5, 220)

Thus, All points are satisfy the given scatterplot graph.

So, The correct function for the given data representation will be,

y = 8x² + 10

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The electrician charges a $20 service fee, plus $60 per
hour for electrical repairs, shown by the equation below.
Solve the equation 60h + 20 = 140 and explain the
meaning of the solutions• (What does h represent?
What do the numbers in the equation represent, etc.)
Now let's change this equation into an inequality:
60h + 20 < 140
How does the change from an equation to an inequality
impact the meaning? Give one scenario that could
account for the less than sign.

Answers

Answer:

1a) h = 2

1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.

2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.

2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140

Step-by-step explanation:

60h+20=140

60h=120

h=2

Solve 2x+4> 16.
O A. X> 10
B. x <10
C. x< 6
O
D. X>6

Answers

Answer:

D

Step-by-step explanation:

First subtract 4 from both sides and divde both sides by 2.

Solution:

=2x+4>16

=2x+4-4>16-4

=2x>12

=2x÷2>12÷2

=x>6

Pls…!!!!!help…!!!I don’t get this…

Answers

The circle illustrates the theorems of angles in the same segment

The measure of angle NTS is 53°The measure of arc AB is 200°

How to determine the measure of NTS?

Given that:

∠SKA = 74°

The angle SKA is at the center of the circle.

This means that:

Arc AS = 74°

Calculate Arc SN using:

SN + AS = 180°

Substitute 74 for AS

SN + 74° = 180°

Subtract 74 from both sides

SN = 106°

The arc SN is subtended by the angle NTS.

This means that:

∠NTS = 0.5 * SN

So, we have:

∠NTS = 0.5 * 106°

Evaluate

∠NTS = 53°

Hence, the measure of angle NTS is 53°

How to determine the measure of arc AB?

Given that:

∠BCA = (7w - 4)°

∠ADB = (5w + 20)°

Angles subtended by the same arc at the circumference are congruent.

So, we have:

7w - 4 = 5w + 20

Collect like terms

7w - 5w = 20 + 4

Evaluate

2w = 24

Divide by 2

w = 12

This implies that:

∠BCA = (7 * 12 - 4)°

Evaluate

∠BCA = 80°

The measure of arc AB is then calculated using:

AB = 360 - 2 * ∠BCA

This gives

AB = 360 - 2 * 80°

Evaluate

AB = 200°

Hence, the measure of arc AB is 200°

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The equations in this sytem were added to solve for x. What is the value of x?

Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3

Answers

The value of x would be 1.

Researchers want to determine whether all frozen pizzas have the same proportion of toppings regardless of the brand of pizza. To test this, they sampled randomly pizzas of each brand and recorded their findings in the table.
Brand Topping
Pepperoni Sausage Onion Mushrooms
Digiorno 14 21 17 17
Tombstone 11 8 10 6
Red Baron® 17 13 14 11
Tony's 9 17 15 18
Part A: What are the correct degrees of freedom for this table? (2 points)

Part B: Calculate the expected count for the number of pepperoni for Red Baron® pizza. Show your work.

Part C: Is there sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza? Provide a statistical justification for your conclusion.

Answers

The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.

How to calculate the degree of freedom?

The degree of freedom will be calculated thus:

= (Number of rows - 1) × (Number of columns - 1)

= (4 - 1)(4 - 1)

= 3 × 3 = 9

The expected amount for the number of pepperoni for Red Baron will be:

= (55 × 51) / 218

= 12.867

Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.

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b + 1.5 = 6

solve the equation and find the value of the variable

Answers

The answer is 4.5. Because 6 minus 1.5 is equal to 4.5

Answer:

[tex]\boxed{\sf{b=4.5}}[/tex]

Step-by-step explanation:

To find the value of variable, you have to isolate the term of b from one side of the equation.

b+1.5=6

First, you subtract by 1.5 from both sides.

→ b+1.5-1.5=6-1.5

Solve.

Subtract the numbers from left to right.

⇒ 6-1.5=4.5

⇒ b=4.5

Therefore, the correct answer is b=4.5.

I hope this helps you! Let me know if my answer is wrong or not.

Hakeem has a points card for a movie theater. he receives 45 rewards points just for signing up. he earns 11. 5 points for each visit to the movie theater. he needs 206 points for a free movie ticket. how many visits must hakeem make to earn a free movie ticket?

Answers

Answer:

14visists

Step-by-step explanation:

206 points= 45points + 11.5points(number of visits)

let number of visits=x

206points-45points=11.5x

161=11.5x

x=161/11.5

x=14 visits

Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? wave x → wave y → wave w → wave z wave z → wave w → wave y → wave x wave x → wave w → wave y → wave z wave z → wave y → wave w → wave x

Answers

The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question

What are sound waves?

A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.

Why is option A the correct answer?

Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.

The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.

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Answer:

C. Wave X --> Wave W --> Wave Y --> Wave Z

which decimal is equalient to 24 out 30 days

Answers

the answer is .8! 24 divided by 30 = .8

which one is different? write "both" inequalities.
a) w is greater than or equal to -7
b) w is no less than -7
c) w is no more than -7
d) w is at least -7

Answers

Answer:



These are the inequalities

A: [tex]W\geq -7[/tex]

B: [tex]W > -7[/tex]

C: [tex]W < -7[/tex]

D: [tex]W\leq -7[/tex]

I assume the "different" one is referring to the wording of the expression. B, C, and D are all similarly worded so I believe A is the "different" one.

B w is no less than -7

Fabian has a loyalty card good for a discount his locate grocery store the item he wants to buy his price at $27 before discount and tax act a discount and before tax price is $26.19 find the percent

Answers

Answer:

3%。

Step-by-step explanation:

26•19÷27.00 =.97%

so the remains 3% is after the discount and tax.

With the equation of the circle that has a center at the origin and passes through the point (1-6),​

Answers

Answer:

[tex]\sf x^2+y^2=37[/tex]

Step-by-step explanation:

Equation of a circle:  [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]

where (h, k) is the center and r is the radius

Given the center is at (0, 0)

[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\sf \implies x^2+y^2=r^2[/tex]

Given the circle passes through point (1, -6):

[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]

[tex]\sf \implies r^2=37[/tex]

Therefore, the equation of the circle is:

[tex]\sf \implies x^2+y^2=37[/tex]

Equation of a circle passing through origin

x²+y²=r²

So

As (1,-6) lies on circle it will satisfy

1²+(-6)²=r^21+36=r²r²=37

Now

equation of the circle

x²+y²=37

Help with this please

Answers

Answer:

f(4)=-10

x=0

Step-by-step explanation:

Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000

Answers

The total liabilities is $180,338

The total assets is  $1,233,000

The net worth is $1,052,662

What is the net worth, assets and liabilities?

Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.

Assets = 178,000 + 1,055,000 = $1,233,000

Liabilities = 145,908 + 34,430 = $180,338

Net worth =  $1,233,000 - $180,338 = $1,052,662

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Use translation (x,y) to (x-8, y+4)
What is the image of A (2,6)

Answers

Answer:

(-6,10)

Step-by-step explanation:

This is simple, you just subtract 8 from the x value, and add 4 to the y value.

Hope this helps

The measure of an angle is 74.8°. What is the measure of its complementary angle?

Answers

Answer:

105.2°

Step-by-step explanation:

Supplementary means the angles add up to 180. 180-74.5=105.2

Answer:

The answer is 15.2

Step-by-step explanation:

This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.

20. What is the area in square feet of the sidewalk shown

below? Round off to the next largest foot.

Answers

Answer:

it doesnt say any numbers or pictures of the question can you add them

7 ft
8 ft
8 ft
5 ft
5 ft
Find the total surface area of the prism

Answers

Answer:

look up surface area calculator

Step-by-step explanation:

The surface area of the triangular prism is 161 square feet. Then the correct option is A.

What is the surface area of a triangular prism?

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

The surface area is calculated as,

SA = (5 x 5) + (5 + 5 + 7) x 8

SA = 25 + 17 x 8

SA = 25 + 136

SA = 161 square feet

Thus, the correct option is A which is top left.

More about the surface area of a triangular prism link is given below.

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