Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?

Answers

Answer 1
108000= 74000e^r11
Divide both sides by 74000
1.45946=e^11r
Ln1.45946=11r
.37807=11r
Divide by 11
.03437
3.44%.

Related Questions

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Answers

Answer:

4x+1

Step-by-step explanation:

Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.

so you add: (3x-1) and (x+2)

combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

PLEASE HELP ASAP!!!!!​

Answers

Answer:

A

Step-by-step explanation:

Answer:

i believe its A

Step-by-step explanation:

In science class, students are learning about organic compounds. An acetic acid
molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.
What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?
A 4:12
B 4:16
C 12:4
D 16:4

Answers

The answer is B) 4 : 16

Explanation:
RATIO FOR 1 MOLECULE OF ACETIC ACID:
2 carbon atoms : 2 oxygen atoms : 4 hydrogen atoms
Since its asking how many for 2 MOLECULES, we double the ATOMS (we multiply all by 2)
RATIO FOR 2 MOLECULES OF ACETIC ACID:
4 carbon atoms : 4 oxygen atoms : 8 hydrogen atoms
The question only asks for the ratio of carbon atoms to ALL atoms. To calculate all atoms, we add 4 + 4 + 8 = 16
So if there are 4 carbon atoms and the sum of all atoms is 16, out final ratio answer is:
B.) 4 : 16
Mark me brainliest please!!

2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]

Answers

Answer:

                   

Step-by-step explanation:

                                                                         

What is the value of x, and what is the missing angle?

NO LINKS, THEY WILL BE REMOVED

Answers

Answer:

x = 14

Missing angles: 33° and 57°

Step-by-step explanation:

(2x + 5) + (3x + 15) = 90° (complementary angles)

Add like terms

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 70/5

x = 14

✔️Plug in the value of x to find each missing angle:

2x + 5 = 2(14) + 5 = 33°

3x + 15 = 3(14) + 15 = 57°

In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65

Answers

Answer:

A. 45

- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD

The value of y in the given diagram is 45.

Option A is the correct answer.

What are corresponding angles?

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

Let the corresponding angle with y is m.

Now,

y = m

Now,

45 and m are opposite angles.

So,

m = 45

Now,

The corresponding angle with y is m.

This means,

y = m

y = 45

Thus,

The value of y is 45.

Learn more about corresponding angles here:

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h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.

Answers

5.25 oooooooooooooooo

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Find each trig ratio.

Answers

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answers

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm

Answers

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5

Answers

I think c maybe not sure or choose one who you think it is I am not 100% sure

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

My sister needs help with this problem

Can you post step by step
Thank you!

Answers

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS


Will choose brainliest :)

Answers

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.

Answers

Answer: Population = Total students attend the school.

Parameter = Proportion of students named by president correctly.

Step-by-step explanation:

Population for a particular study is the largest possible group of individuals that are essential to be considered.

Parameter = measure of characteristic in a population.

By the above definition, we have

Population = Total students attend the school(1800).

Parameter = Proportion of students named by president correctly.

Find the Domain and Range

Answers

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?​

Answers

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

Select the correct answer Rita is making a beaded bracelet she has a collection of 160 blue beads 80 gray beads and 240 pink beads what is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection use a table of randomly generated outcomes to answer the question each letter represents the first letter of the bead color 0.05 0.10 0.45 0.55

Answers

Answer:

the answer is .45 I am assuming

Evaluate(8−3i)(3+2i)​

Answers

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.
(write the equation that you used to solve this )

Answers

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p

Answers

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR​

Answers

5839394849393959493933994493

Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:

6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)

a
7 over 22 multiplied by 7 over 22 equal 49 over 484

b
7 over 22 multiplied by 6 over 21 equal 42 over 462

c
7 over 22 plus 6 over 21 equal 279 over 462

d
7 over 22 plus 7 over 22 equal 308 over 484

Answers

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

The Roman Numeral MCM means​

Answers

Answer:

See explanation below

Step-by-step explanation:

The Roman Numeral MCM means 1900.

The first M is 1000, CM means 900 ==> 1000 + 900 = 1900

Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this

Answers

what yung papi said

HELP Easy math easy points look at the photo

Answers

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?


3/6
4/6
3/36
4/36

Answers

Answer:

4/36

Step-by-step explanation:

6x6=36/denominator

for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer

Pls help with this ASAP :)

Answers

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

No Solution is the Answer

In DEF, sin D = 24/26 What is cos E?

A. 24 26
B. 10 24
C. 10 26
D. 26 10​

Answers

Answer:

your answer will be option A. 24/26

Step-by-step explanation:

hope it helps....

In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

What are trigonometric ratios ?

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.

We have,

[tex]\triangle[/tex] DEF,

[tex]SinD = \frac{24}{26}[/tex]

We know that,

[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex]  and  [tex]CosE=\frac{EF}{ED}[/tex]

Using Pythagoras Theorem,

[tex]P^{2} +B^{2} =H^{2}[/tex]

i.e.

[tex]EF^2+FD^2=EF^2[/tex]

[tex]24^{2} +FD^2=26^2[/tex]

[tex]FD^2=676-576[/tex]

[tex]FD=10[/tex]

But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,

[tex]CosE=\frac{EF}{ED}[/tex]

so,

[tex]CosE=\frac{24}{26}[/tex]

So, the value of    [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.

Hence, we can say that In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

To know more about Trigonometric ratios click here

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