Compound interest
Plz help!!!

Compound Interest Plz Help!!!

Answers

Answer 1

Answer:

a) [tex]A(t) = 17500(1.0053)^{12t}[/tex]

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

a)

Loan of $17,500 means that [tex]P = 17500[/tex]

6.4% interest rate means that [tex]r = 0.064[/tex]

Compounded monthly means that [tex]n = 12[/tex]. So

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

[tex]A(t) = 17500(1 + \frac{0.064}{12})^{12t}[/tex]

[tex]A(t) = 17500(1.0053)^{12t}[/tex]

b)

This is A(8). Then

[tex]A(8) = 17500(1.0053)^{12*8} = 29069[/tex]

The balance after 8 years will be of $29,069.


Related Questions

What is the factored form of 250x3 − 16?

Answers

Answer:

Step-by-step explanation:

250x^3-16

2(125x^3-8)

2[(5x)^3-(2)^3]

2(5x-3)[(5x)^2+5x*3+(2)^2]

2(5x-3)(25x^2+15x+4)


50 POINTS !

PLEASE HELP ILL GIVE BRAINLIEST !! EXPLAIN YOUR ANSWER .

FAKE ANSWERS WILL GET REPORTED.

Answers

Answer:

cap it's only 5

Step-by-step explanation:

Answer:

I think she drove 65 mile.

Step-by-step explanation:

I used a piece of paper and drew a triangle. One side 25 and another 60.

Then i used the Pythagorean theorem.

What is the domain of the function y=7x-1

Answers

Answer:

Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.


What combination of transformations is shown below?

Answers

Answer:

translation then rotation

(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer

Submit

Answers

13.52 fluid were drunk by Andre

What are the solutions to the quadratic equation x2-16=0

Answers

Answer:

x = -4, 4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Rewrite 16:

[tex]x^2-4^2=0[/tex]

The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:

[tex](x+4)(x-4)=0[/tex]

The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:

[tex]x+4=0\\x=-4[/tex]

[tex]x-4=0\\x=4[/tex]

Therefore, the solutions are -4 and 4.

I hope this helps!

I need the work and answers fast

A disc is thrown into the air with an upward velocity of 20 ft/s. It's
height h in feet after t seconds is given by the function h=-16t^2+20t+6.

1. How long will it take the disc to reach the maximum height?

2. What is the maximum height that the disc reaches?

3. How long does it take for the disc to hit the ground?

Thank you

Answers

1

Explanation

It’s correct

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)

Answers

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

[tex]S = d^2\pi[/tex]

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 9 cm2/min

This means that [tex]\frac{dS}{dt} = -9[/tex]

At which the diameter decreases when the diameter is 10 cm?

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.143[/tex]

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.


6. Find the area of the segment. (the shaded region)

Answers

There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.

Area of the section of the circle:

A = pi * r^2

A = pi * 15^2

A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.

A = 45pi

Area of the triangle:

A = 1/2 * a * b * sin(c)

A = 1/2 * 15 * 15 * sin(72)

A = 112.5 * sin(72)

Next, we need to subtract the area of the triangle from the area of the section of the circle.

A = 45pi - (112.5 * sin(72))

A = 112.8165 units^2 -- Feel free to round off wherever you need!

Hope this helps!! :)

Convert 7 pounds 3 ounces to kilograms.
Conversion ratios:
1 lb = 16 OZ
1 kg = 2.2 lb

Answers

Answer:

3.3

Step-by-step explanation:

7lb 3oz

3oz/16oz=.1875lb

7lb+.1875lb=7.1875lb

7.1875lb/2.2kg=3.27kg

Which is the m WZY? Need quick answers!!

Answers

Answer:

B. 55°

Step-by-step explanation:

Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]

Inscribed angle = m<WZY

Intercepted arc = arc WY = 110°

Therefore:

m<WZY = ½110°)

m<WZY = 55°

SOMEBODY PLEASE HELP I NEED THIS ASAP

Answers

Answer:

a = 1000 cm²

Step-by-step explanation:

Center square

20 * 20 = 400cm²

------------------------

Triangle side

a = (1/2)(20)(15)

a = 150

There are 4 sides

a = 4 * 150

a = 600 cm²

-----------------------

Total area

a = 400 - 600

a = 1000 cm²

According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?

Answers

Answer:

H0 : p = 0.028

H1: p > 0.028

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

Type 11 error

Step-by-step explanation:

H0 : p = 0.028

H1: p > 0.028

If null should not be rejected then;

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

3.)

If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed

Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]

Answers

Answer: [tex]x+3, x \neq -6[/tex]

Step-by-step explanation:

The denominator cannot equal 0, so [tex]x \neq -6[/tex].

Simplfying,

[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]

Chromium 51 is a radioactive substance used in medicine. It has a 1/2 life of 28 days. The equation for its exponential decay model is `y=a(.5)^t/28 If 10 mg is ingested by a patient, how many days before only 8 mg is still emitting radiation?

Answers

Answer:

9 days before only 8 mg is still emitting radiation.

Step-by-step explanation:

The exponential model is:

[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]

In which a is y(0), that is, the initial quantity.

10 mg is ingested by a patient

This means that [tex]a = 10[/tex], and thus:

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

How many days before only 8 mg is still emitting radiation?

This is t for which y(t) = 8. So

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]

[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]

[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]

[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]

[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]

[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 9[/tex]

9 days before only 8 mg is still emitting radiation.

PLEASE HELP IM BEING TIMED

Answers

4,-1 and 0,-2 I THINK

what is the median of 72 27 24 11 14 and 12

Answers

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - [tex]11,12,14,24,27,72[/tex]

There are 6 numbers.

The median is 19.

What combination of transformations is shown below?

Answers

Answer:

Correct answer is "reflection, then rotation".

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])

2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])

Therefore, correct answer is "reflection, then rotation".

Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571

Answers

2 sin (2pi/5 x) + 4

Identify the two pairs of complementary angles in the figure above. Justify your answer.

Answers

Answer:

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Step-by-step explanation:

the two solid lines are perpendicular, creating 4 right angles

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Question 1 of 5
Select the correct answer.
Consider functions f and g, where function g is a transformation of function f.



Which statement correctly describes a transformation on the graph of function f to arrive at the graph of function g?


The graph of function f is shifted 3 units to the right.

The midline of function f is shifted 3 units down.

The graph of function f is reflected over the x-axis.

The amplitude of function f is vertically stretched by a factor of 3.

Answers

Answer:

The graph of function f is shifted 3 units to the right.

Step-by-step explanation:

Sample Answer from Edmentum

Answer:

The graph of function f is shifted 3 units to the right.

Step-by-step explanation:

Plato/Edmentum

Plz help me well mark brainliest if correct...???

Answers

Answer:

D) 225

Step-by-step explanation:

Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.

Which expression is equivalent to (3a)-2​

Answers

Answer:

1/9a2

Step-by-step explanation:

I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.

Answer:

removing of bracket

Step-by-step explanation:

(3a)-2

3a×(-2)

-6a

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth

Answers

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.​

Answers

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

Yoko started an assignment at 8:34 AM and finished it at 9:21 AM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes

thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a

Answers

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

This has infinitely many solutions.

Step-by-step explanation:

Any number you put for a would work to make them equal. Feel free to try it.

There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)

Answers

Answer:

7

Step-by-step explanation:

3RD MAN: 1

2ND MAN: 2

1ST MAN: 4

3rd Man = 1/2+1/2 = 1

2nd Man = 1+1 = 2

1st Man = 2*2 = 4

pls help!! correct answer will be marked brainliest

Answers

Answer:

67.7

Step-by-step explanation:

Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!

Which statements are always true
about ABCD? Select all that apply.

Answers

Answer:

It doesn't show the statements so I'll create some.

Step-by-step explanation:

ABCD make a shape with 2 pairs of parallel lines.

ABCD when broken apart can create 4 triangles

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