Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?​

Answers

Answer 1

Answer:

3,075

Step-by-step explanation:


Related Questions

14 is 24% of what number? (Write your final answer as a mixed number.) ​

Answers

Answer:

58 1/3

Step-by-step explanation:

14=.24x

14*25/3 = x

58 1/3

Use the graph to write a linear function that relates y to x



y=

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-2}{6-0}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{4}{3}[/tex] x + 2 ← equation of line

Can someone please help me

Answers

Answer:

COULD YOU PLEASE HELP ME ON MY RECENT QUESTION ASAP

Step-by-step explanation:

If one side of a cube measures x cm what is the volume

Answers

Answer:

The volume is x times x times x which is x^3 :)

URGENT!!!! I NEED A SMART PERSON!!!!
Randall is mapping the area of his town using the map below and placing the town hall at the origin. The shopping mall is three units north of the movie theater. A parking garage is located one unit south of the shopping mall. The movie theater is six units to the east of the town hall. A beauty parlor is reflected across the x-axis from the location of the parking garage.

Locate the shopping mall, movie theater, parking garage, and beauty parlor on the map.

Answers

Answer:

Shopping Mall: (-6,3)

Movie Theater: (-6,0)

Parking Garage: (-6,2)

Beauty Parlor: (-6, -2)

Explanation:

The starting point here is the (0,0), or what would be considered according to the reading the "Town Hall".

The shopping mall is a point at the west (left) of the graph. We can know this because during the reading it is specified that the city center is 6 units east of the movie theater, which is only three units south of the mall. This means that the same distance of x between the Shopping Mall and the line y would be the same as the movie theater to the town hall, adding three units of y: (-6, 3)

Knowing this point, the Parking Garage is easier to find since it is just one unit below the mall. (-6, 2). Only the y value changes.

Knowing where the garage is, the reading says 3 units further down is the Movie Theater —3 units to the south of the shopping mall, and 2 in the same direction of the garage, the red point is marke d at (6.0).

The Beauty Parlor is the reflection of the parking garage across the x-axis. To find the reflection of a graph point across the x-axis, the formula is: (x, y) → (x, -y). Hence, the garage point, which we said was (-6, 2), becomes (-6, -2). The -6 (x) remains negative, while the 2 changes its sign.

Find the sum of the first 8 terms of the following series, to the nearest integer.16,20,25

Answers

The correct answer is 317.

The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The series is,

⇒ 16, 20, 25,

Now, We get;

Common ratio = 20 / 16 = 5 / 4

And, 25 / 20 = 5 / 4

Thus, The series is geometric series.

Hence, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)

⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)

⇒ S₈ = 16 × 4 (325,089 / 65,536)

⇒ S₈ = 317.46

⇒ S₈ = 317

Thus, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

Learn more about the geometric sequence visit:

brainly.com/question/29632351

#SPJ2

2=n over 3 what does n equal?

Answers

Answer:

n = 6

Step-by-step explanation:

2 = [tex]\frac{n}{3}[/tex]

multiply both sides by 3

=> n = 6

Answer:

n = 6

Step-by-step explanation:

If 2 = n/3, then n = 6, because 3 times 2 is 6 (2 of 3 is 6)

(side note, this might not be what you are looking for soo)

Plsssss help me with this angle circle problem what is x

Answers

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

What is the length of line segment FE?



Enter your answer, as a decimal rounded to the nearest tenth, in the box.
FE =
units

Answers

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

FE=7.1
F (-3,4)
E (4,3)
distance formula: √(4-(-3))^2 + (3-4)^2 = √49+1 = √50 = 7.07 or 7.1

The mark up on an item is $3.75. If the mark up is 35%, what was the original price? Round
your answer to the nearest hundredth. (Show all work)

Answers

Answer:

$10.71

Step-by-step explanation:

[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]

y × 35 = 3.75 × 100

35y = 375

35y ÷ 35 = 375 ÷ 35

[tex]y=10\frac{5}{7}[/tex]

y = 10.7142857143

10.7142857143 round to 10.71

What is the area of the shape below?

Answers

Answer:

31 1/2 yd 2

Step-by-step explanation:

4*6=24

3*5= 15 15/2 = 7 1/2

24+7 1/2 = 31 1/2

Help with number 10! Step by step please!

Answers

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  [tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]

_____

I find it helpful to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

can someone find the length of the spine plss

Answers

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

How do you know if alternate interior angles and alternate exterior angles have the same measure?

Plz be specific..Will give BRAINLIEST!!!!!!!

Answers

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

I need help

I missed the last classes and missed the explanation of the content ​

Answers

Answer:

a) 3.625 or [tex]\frac{29}{8}[/tex]

b) 7.05 or [tex]\frac{141}{20}[/tex]

if a questions asks to find the area of half of the circle would you do 3.14(pie) times r2(radius squared) times 1/2? and if no then what would you do?

Answers

Answer:

[tex]A=\dfrac{3.14r^2}{2}[/tex]

Step-by-step explanation:

The area of a circle is given by :

[tex]A=\pi r^2[/tex]

Where

r is the radius of the circle.

If we talk about the area of half of the circle, it means we have to half the area such that,

[tex]A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}[/tex]

Hence, this is the required solution.

what is -5/3 as an equivalent fraction

Answers

Answer:

-20/12 as an example there are many others

Some examples:
1. -1 2/3
2. -10/6
3. - 15/9

To find an equivalent fraction you need to multiply the denominator and the numerator by the same number. For example:

1/3 — 1*3/3*3 — which equals 3/9

Hope this helps!!

What is the solution to the system of equations?
y = 2/3x+ 3
x=-2

{-2, -15/2}
{-2, 5/3}
{-2, 11/6}
{-2, 13/3}

Answers

Answer:

(-2,5/3)

Step-by-step explanation:

What formula can be used to find circumference? Choose all that what formula can be used to find circumference?choose all that apply apply.
Сл
2πr
πd
2πd

Answers

Answer:

2

Step-by-step explanation:

because it can find the circumference

The table and graph below show the enrollment in Italian, Chinese, and German classes at two schools.





Which statement is NOT supported by the data distributions?
A.
There is a greater number of students in the Chinese and German classes combined at School B than at School A.
B.
There is a greater percentage of students in the Italian and German classes combined at School A than at School B.
C.
65% of the total enrollment at School A and School B combined are in the Italian class.
D.
There are 2 more students taking Italian at School A than are taking Chinese at School B.

Answers

Answer:

The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.

What is the measure of ∠B?
Triangle A B C with ray A G through point C and angle measures A = 3x, B = 4x, and exterior angle B C G = 10x minus 45.




60∘60 degrees

15∘15 degrees

45∘45 degrees

105∘

Answers

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

The required measure of ∠B is 60° for the given triangle.

What is the Exterior Angle?

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

Learn more about the exterior angles here :

https://brainly.com/question/28835566

#SPJ2

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction

Answers

Answer:

[tex]Pr = \frac{1}{26}[/tex]

Step-by-step explanation:

Given

In a deck of card, we have:

[tex]Cards = 52[/tex]

[tex]King[Heart] = 1[/tex]

[tex]Queen[Spade] = 1[/tex]

Required

The probability of obtaining a king of heart or a queen of spade.

The probability of king of heart is:

[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]

[tex]P(King[Heart]) = \frac{1}{52}[/tex]

The probability of queen of spade is:

[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]

[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]

The required probability of obtaining a king of heart or a queen of spade. is:

[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]

[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]

Take LCM

[tex]Pr = \frac{1+1}{52}[/tex]

[tex]Pr = \frac{2}{52}[/tex]

Simplify

[tex]Pr = \frac{1}{26}[/tex]

Question 10 of 10
Which is not a characteristic of an exponential parent function?
A. It passes through (0,1).
B. It goes through the origin.
C. The domain is all real numbers.
D. The range is positive real numbers (y > 0).
SUBMIT

Answers

B) False
It does not pass through origin.

En una caja hay 10 monedas de $50, 20 monedas de $20 y $20 de 10. La probabilidad de sacar una moneda de $10 es:
A 20/20
B 1/2
C 4/10
D 2/5
DOY CORONITA SI RESPONDEN BIEN PLIS

Answers

Answer:

tha answer is c

Step-by-step explanation:

12. The product of 0.08 and 0.7 is 5.6
A) True
B) False

Answers

Answer:

B (false)

Step-by-step explanation:

it is 0.056

Angles X and Y are vertical. If angle X is 91 degrees, what is the measure of angle Y

Answers

Y angles is 89 degrees

A straight line is 180 degrees so I subtracted 91 from 180 to get my answer 89

Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?

Answers

Answer:

$15.19

Step-by-step explanation:

8.5% = 0.085

0.085 x 14 = $1.19

1.19+14= $15.19

Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.

You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.

Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600

After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.


Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749

These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?

Answers

Answer:

η²

SSbetween / SStotal

η² = 0.0145757

Step-by-step explanation:

Effect size, η² = SSbetween / SStotal

SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.

The sum of square Total, SStotal measures the entire variability in these dataset.

SSbetween = 3,095.00 ; SStotal = 212,339.66

η² = SSbetween / SStotal

Effect size η²= 3,095.00 / 212,339.66

Effect size = 0.0145757

According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $720 and standard deviation of $40. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.)

Answers

Complete question :

a. Of less than$720?

b. Of more than $840?

c. Between $680 and $760?

Answer:

0.500 ; 0.0013 ; 0.6827

Step-by-step explanation:

Given that :

Mean, μ = 720

Standard deviation, σ = 40

P(Z < x)

x = (x < 720)

Obtain the standardized value of x

P(x < 720) = (x - μ) / σ

P(x < 720) = (720 - 720) / 40

P(x < 720) = 0

P(Z < 0) = 0.5

B.) More than $840

P(x > 840)

P(x > 840) = (x - μ) / σ

P(x > 840) = (840 - 720) / 40

P(x > 840) = 120 / 40 = 3

P(Z > 3) = 0.0013499 (Z probability calculator)

c. Between $680 and $760?

P(760 < x < 680)

P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)

P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)

P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268

4^?=1024? i know the answer is 5 but is there an easier way to find that out instead of guessing?

Answers

Answer:

here you go............

Step-by-step explanation:

I hope it helped

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