Anthony is going to invest in an account paying an interest rate of 2.7% compounded quarterly. How much would Anthony need to invest, to the nearest hundred dollars, for the value of the account to reach $130 in 10 years?

Answers

Answer 1

Answer:

$99

Step-by-step explanation:

Given that :

Rate (r) = 2.7% = 0.027 Compounded quarterly

Final amount (A) = $130

Period (t) = 10 years

Principal = invested amount (p) =?

n = number of compounding tines per period = 12/3 = 4

Using the formula :

A = p(1 + r/n)^nt

130 = p(1 + 0.027/4)^(4*10)

130 = p(1 + 0.00675)^40

130 = p(1.00675)^40

130 = p(1.3087766)

P = 130 / 1.3087766

P = 99.329402

P = $99

Answer 2

Answer:   95810

Step-by-step explanation:

Compound interest formula

A=240000\hspace{35px}t=20\hspace{35px}r=0.046\hspace{35px}n=12

A=240000t=20r=0.046n=12

Given values

240000=

240000=

\,\,P\left(1+\frac{0.046}{12}\right)^{12(20)}

P(1+

12

0.046

)

12(20)

Plug in values

240000=

240000=

\,\,P(1.003833333)^{240}

P(1.003833333)

240

Simplify

240000=

240000=

\,\,P(2.504880829)

P(2.504880829)

Evaluate in calculator

\frac{240000}{2.504880829}=

2.504880829

240000

=

\,\,\frac{P(2.504880829)}{2.504880829}

2.504880829

P(2.504880829)

Divide by 2.504880829

95812.9413769=

95812.9413769=

\,\,P

P

Use calculator

P\approx

P≈

\,\,95810

95810 .  


Related Questions

solve the logarithmic equation

ln(3x-3) = ln(x-6)

Answers

Answer:

x=-3/2

Step-by-step explanation:

=>ln(3x-3)=In(x-6)

=>3x-3=x-6 (since the bases of the logarithms are same)

=>2x=-6+3

=>2x=-3

=>x=-3/2

This scatter plot shows the number of baskets made and the number of baskets attempted. Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 60 attempts? 30 baskets 40 baskets 50 baskets 60 baskets Baskets Made and Baskets Attempted Scatterplots. The y axis is titled baskets made and is numbered from 0 to 80 in increments of 10. the x axis is titled baskets attempted and is numbered from 0 to 100 in increments of 20. There are 12 points plotted. The coordinates of the points are approximated. 2 comma 1. 12 comma 8. 22 comma 14. 25 comma 18.30 comma 20. 34 comma 24. 38 comma 29. 44 comma 28. 58 comma 33. 64 comma 45. 78 comma 42. 84 comma 58.

Answers

Answer:

40 BASKETS

Step-by-step explanation:

GFTYDXRTYFCYTGXCR7CKIYFYUC7TCTCGUKCKG\

MARKING BRAINLIEST!
An airline knows that 9 out 50 passengers who book a flight do not show up. If 300 people booked a flight , how many will not show up?

Answers

54 people dont show up

Determine whether the triangles are similar. If so, name the postulate or
theorem you used.

Answers

Answer:

Yes, AA~

Step-by-step explanation:

because 2 of the angles are the same (90 and 52) they have to be the same. The triangle on the right is known to be 90 degrees because 52+38 is 90 and 180-90 is 90 and a triangle has to add up to 180 degrees

Jordan bought a magazine for $6 and some
notepads for $3 each. She spent a total of $18.
How many notepads did she buy?

Answers

Answer:

she bought 4 notebooks

Step-by-step explanation:

3x4=12+6=18

Answer:

4

Step-by-step explanation:

18-6=12

Annie can walk 1/2 of a mile in 1/4 of an hour. How many miles can she walk in 2 1/2 hours if she walks at the same constant speed?

Answers

Answer:

She can walk 5 miles in 2 1/2 hours.

Step-by-step explanation:

1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add  1/2 + 1/2 to get 5 miles in 2 1/2 hours.

BRAINLIEST PLEASE :))

I hope this helped you!

Answer:

She can walk 5 miles in 2 1/2 hours.1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add  1/2 + 1/2 to get 5 miles in 2 1/2 hours.

BRAINLIEST PLEASE :))

I hope this helped you!

Step-by-step explanation:

The amount of sales of tickets at a movie theater t(x) varies directly with the number of customers x. Twenty customers paid a total of $275 for tickets.

Which equation can be used to find the ticket sales for x customers?

t(x) = 20x candace rolled a 6-sided number cube 60 times and recorded the results in the graph above


t(x) = 20x

t(x) = 13.75x

t(x) = 13.75x

t(x) = 275x

Answers

Answer:

T(x)=13.75x

Step-by-step explanation:

Line segment MN is graphed in the first and second quadrants of a coordinate plane. The segment is translated 2 units up, then reflected across the y -axis. Which characteristic of the image is always the same as the original line segment?

Answers

Answer:

Step-by-step explanation:

Since the line segment is only being translated and reflected it would still maintain its length. This is pretty much the only characteristic that would remain the same as te original line segment. It would not maintain the same x-axis positions for both endpoints of the line segment. This is because when it is translated 2 units up it is only moving on the y-axis and not the x-axis. But when it is reflected over the y-axis the endpoints flip and become the opposite values.

The double number line shows that 4 pounds of tomatoes cost $14. How much does it cost for 1 pound of tomatoes

Answers

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4.

1pound =3.5

Answer: 3.5

Step-by-step explanation: it is 3.5 dollars because if you divide 14 by four it shows that one pound cost 3.5 dollars

Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -5. Then graph the line.

Answers

Formula: y=mx+b

Plug in your numbers. Y=1/4x-5

1/4 is the slope so it takes the place of m, and our y-intercept is -5 so it replaces b.

I can't put a graph on here, but go on desmos.com and put the equation in and it graphs it for you ;)

6TH GRADE MATH PLZ HELP
Mr.Jacob is organizing a class trip. he wants to spend less than $900.The bus rental is $600.He will also buy tickets that cost $9.50per kid write the inequality to represent the number of kids,y. that Mr.Jacob can bring to the trip

Answers

Answer:

50 kids can Mr Jacob bring to trip

write the slope intercept form


slope=-3/4 y-intercept=-1​

Answers

Answer: -3/4x -1

Step-by-step explanation:

The slope intercept form is Y=-3/4x-1

slope intercept form is y=mx+b. Where m is the slope and b is the y-intercept. Plug in the numbers for the m and b values and you will have your equation.

Hope this helps!

how do you solve y - 2 = 5 (x - 1) using slope - formula. I WILL GIVE YOU A BRAINLIEST IF YOU GIVE THE RIGHT ANSWER.
:)

Answers

Answer:y=5x−3

Step-by-step explanation:

Answer:

it would be y=5x-3

Step-by-step explanation:

first get rid of parentheses y-2=5x-5 then add 2 to get the y by itself

y=5x-3

SOMEONE PLEASE HELP ME WITH THIS !!!!!

Answers

Answer:

b!!!!!

Step-by-step explanation:

heLPPpp mEeEeEeEeeEeEeeEeEeEeEeee

Answers

Answer:

D. The slope is -2. The y-intercept is (0, 1).

Step-by-step explanation:

It is in slope- intercept form: y=mx+b

M is the slope

B is the y-intercept

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: −2

y-intercept: (0,1)

The function V(x) = x ^ 3 - 6x ^ 2 - 8x + 12 finds the volume of an object with a height of x What is the volume of a object with height of 5 feet? What is the volume of an object with a height 12 feet?

i will mark as brainliest

Answers

Answer:

-53; 780

Step-by-step explanation:

3. plug in your values

5^3 - 6 (5^2) - 8 (5) + 12 = -53

12^3 - 6 (12^2) - 8 (12) + 12 = 780

What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm

Answers

Answer:

well if you said round it to the nearest tenth that would be 10cm and im guessing the circle is 11cm sense its right there

Step-by-step explanation:

hope this helps you

Is this image of this graph a positive correlation, negative correlation, or not a correlation?

Answers

there is no correlation

Help Abenkrntnfshahshhf

Answers

Answer:

A)2/1

Step-by-step explanation:

the x is one apart ans it whent up 2 to the right 1

Answer:

2/1

Step-by-step explanation:

Slope is rise over run, or y2-y1/x2-x1

y2=5 y1=3 x2=2  x1=1

5-3/2-1=2/1

how many solutions does this have?​

Answers

Answer:

none ok smrbgeriinjhgfd

Answer:

1 solution.

Step-by-step explanation:

These lines cross each other once at the given point. Therefore, the system has 1 solution.

Bobby catches 8 passes in 3 football games . At this rate how many passes dose he catch in 15 games?

Answers

Answer:

if bobby catches 8 passes a football game exactly then in 15 games he would have 40 passes

8=3        8x5=x    x=40

                          40 passes in 15 games.

0.20m + 1(50-m) = 0.60(5)
0.80m + 0(50-m) = 0.40(5)
please solve for m

Answers

Answer:

Step-by-step explanation:

0.20m+50-m=3

0.20m-m=-47

-0.80m=-47

m=58.75

what is 3x + 7x +2x ?

Answers

Answer:

i have no clue XD

Step-by-step explanation:

5x. Hope this helps you out

What is the solution to the system of equations graphed below?

Answers

Answer:

x=1 y=0

Step-by-step explanation:

X is the on the where the cross meets corresponding to the x axis y is corresponding on the y axis

Which foci belong to the hyperbola represented by the equation (x-14)^2/16^2-(y-2)^2/30^2​

Answers

Answer: for Plato: A. (-20,2) and (48,2)

Step-by-step explanation:

The foci of the given hyperbola are represented by the equation (x-14)²/16²-(y-2)²/30² will be ( 48, 2) and ( -20, 2).

What is hyperbola?

A hyperbola is a significant conic section in mathematics that is created by the intersection of a double cone with a plane surface, though not always at the center it's not necessary.

A hyperbola is homogeneous along its perpendicular axis and resembles the elliptical in many ways.

A hyperbola is susceptible to concepts like foci, directrix, rectus, and eccentricity. Hyperbola that is commonly seen includes the path taken and the scattering trajectory of particles.

Given that the hyperbola

(x-14)²/16²-(y-2)²/30² so a = 16 and b = 30.

Since c = √(a²+b²)

c = √(1156 = 34.

So the first foci will be ( h +c, k) and ( h -c,k).

So first foci will be ( 48, 2) and the second will be ( -20, 2).

For more about the hyperbola

https://brainly.com/question/27799190

#SPJ5

Consider the exponential function f(x) = One-fifth(15x). What is the value of the growth factor of the function?

One-fifth
One-third
5
15

Answers

The growth factor of the function is 15

The standard exponential equation is expressed as y = ab^x

a is the interceptb is the growth factor

The value of b determines whether an exponential function is a growth or a decay.  

If the value of b is greater than 1, we have growth otherwise it is decay.

Given the exponential function [tex]f(x) = \frac{1}{5}(15)^x[/tex]

Compared with the general equation, b = 15. Hence the growth factor of the function is 15

Learn more on exponential equation here: https://brainly.com/question/13765928

Answer:

anwser is d on edge

Step-by-step explanation:

3. You and your family took a trip over track out that was 1.5
hours away. Which two trips could your family have taken?
HIGHLIGHT TWO TRIPS that would take 1.5 hours. (2 points- 1 point each
A. Drive 40 miles per hour between Raleigh, NC and Fayetteville, NC,
which are 60 miles apart.
B. Take a train going 100 miles per hour from Rolesville, NC to Myrtle
Beach, SC, which are 200 miles apart.
C. Ride a bus going 30 miles per hour to the NC State Fairgrounds,
which is 45 miles from your house.

Answers

Answer:

C

Step-by-step explanation:

The trips that would take 1.5 hours each is Trip A and trip C

Speed is the ratio of total distance travelled to the total time taken.

A) In option A, the speed was 40 miles per hour and the distance was 60 miles, hence:

Speed = distance / time

40 miles per hour = 60 miles / time

time = 60 miles / 40 miles per hour = 1.5 hours

Time = 1.5 hours

B) In option B, the speed was 100 miles per hour and the distance was 200 miles, hence:

Speed = distance / time

100 miles per hour = 200 miles / time

time = 200 miles / 100 miles per hour = 2 hours

Time = 2 hours

C) In option C, the speed was 30 miles per hour and the distance was 45 miles, hence:

Speed = distance / time

30 miles per hour = 45 miles / time

time = 45 miles / 30 miles per hour = 1.5 hours

Time = 1.5 hours

Therefore trip A and trip C would have taken 1.5 hours each

Find out more at: https://brainly.com/question/23774048

What is the distance between 5 and -4? ​

Answers

Answer: its 9

Step-by-step explanation:

I need help with this one

Answers

The answer for 6 is -6,1/6

got a question here please answer it btw look at the photo for question.

Answers

Answer:

Marcus should choose the second option

Step-by-step explanation:

Marcus can choose between the following two options:

A $1,500 monthly salary plus a 5.5% commission of sales, or

A $2,000 monthly salary plus a 3% commission of sales

Marcus expects about $8,000 in sales per month. He wants to know which salary option to choose, obviously to get the most money out of it.

Analyzing the first option:

5.5% of $8,000 = 5.5 * $8,000 / 100 = $440

Plus the fixed salary: $1,500 + $440 = $1,940

Analyzing the second option:

3% of $8,000 = 3 * $8,000 / 100 = $240

Plus the fixed salary: $2,000 + $240 = $2,240

Marcus should choose the second option

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