You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answers

Answer 1

After 23 years $125.32 will be matured to $46,683.28.

What is the formula for recurring investment?

The formula for Recurring maturity is given by:

[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

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Related Questions

You want to purchase a Christmas tree, normally priced at $364. 0. It is on sale for $72. 80. What percent of a discount are you getting? List your answer as a whole number

Answers

Answer:

20% off

Step-by-step explanation:

Divide:

72.8/364

Answer:

.20

Convert:

.20=20%

The shopkeeper giving 80% discount on the Christmas tree during the sale.

What is discount?

A discount is an amount that is subtracted from the regular price of an item.

What is discount percent formula?

[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]

According to the given question.

The marked price of the Christmas tree i.e. original price = $364.

The price of the Christmas tree on sale i.e. final price  = $72.80

So,

The discount given on the Christmas tree

= Original price - final price

= $364 - $72.80

= 291.2

Therefore,

Discount percent  = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]

Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.

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A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3

Answers

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

Which model best fits the data shown in the scatterplot?

A. y=-0.7x+1.9
B. y = 0.7x+1.9
C. y=-0.7x-3.8
D. y=1.9x-07

Answers

Answer:

A. y = -0.7x + 1.9

Step-by-step explanation:

The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not BThe correct option is A

c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point

Answers

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

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no links please and thanks

Answers

SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=

Answers

The value of z is 15.5 so b I just answered this

Question 2

Help

Meeeeeeeeeeeeeee

Answers

Answer:

black screen

Step-by-step explanation:

this is a black screen

Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day? Show your work and check whether your answer makes sense. Show how you can tell that your answer makes sense

Answers

Answer:

it's 2.9 that's how. I get the qnswer


What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units

Answers

Answer:

B

Step-by-step explanation:

(8,12)=(x1, y1)

(1,3)=(X2, y2)

distance=√(x2-x1)^2+(y2-y1)^2

=√(1-8)^2+(3-12)^2

=√(49+81)

√130

=11.40

If sin(0)=24/26 what are the other two trigonomic ratios

Answers

Answer:

[tex]\begin{aligned}{&\cos \theta=\frac{10}{26} \\\bf{&\tan \theta=\frac{24}{10}}\end{aligned}[/tex]

Step-by-step explanation:

Since the angle is in the first quadrant, the values of all trigonometric functions are positive. Also. the formulas for the trigonometric functions we need to find from the problem are shown below:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\\tan \theta &=\frac{y}{x}\end{aligned}[/tex]

Based on the formulas listed, the value of y and r are y = 24 and r = 26 respectively. This means that in order to determine the value of the other functions, we need In compute for the value of x using the Pythagorean Theorem:

[tex]\begin{aligned}r^{2} &=x^{2}+y^{2} \\r^{2}-y^{2} &=x^{2}+y^{2}-y^{2} \quad\left[\text { \text{Subtracting \ both \ sides \ of \ the \ equation\ by} } y^{2}\right] \\r^{2}-y^{2} &=x^{2} \\\sqrt{r^{2}-y^{2}} &=\sqrt{x^{2}} \\\sqrt{r^{2}-y^{2}} &=x \\\sqrt{26^{2}-24^{2}} &=x \\10 &=x\end{aligned}[/tex]Then, substituting this to the formula to determine the answers yields:

[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\&=\frac{10}{26} \\\tan \theta &=\frac{y}{x} \\&=\frac{24}{10}\end{aligned}[/tex]

Therefore, the answers are:

[tex]\begin{aligned}&\cos \theta=\frac{10}{26} \\&\tan \theta=\frac{24}{10}\end{aligned}[/tex]

Answer:

See below

Step-by-step explanation:

We are here given that ,

[tex]\longrightarrow \sin\theta =\dfrac{24}{26}[/tex]

And we would like to find out other trigonometric ratios ( since it is not mentioned about which two I will find out all 6 ) . As we know that ,

[tex]\longrightarrow \sin\theta =\dfrac{perpendicular}{hypotenuse} =\dfrac{p}{h}[/tex]

So that ,

[tex]\longrightarrow \dfrac{p}{h} =\dfrac{24}{26}[/tex]

Let us assume the given ratio to be 24x : 26x .

So we can say that ,

hypotenuse = 26xperpendicular = 24x

Now let's find out the value of base , so that we can find out the other ratios .

By Pythagoras Theorem ,

[tex]\longrightarrow (perpendicular) ^2+(base)^2=(hypotenuse) ^2[/tex]

Substitute the respective values ,

[tex]\longrightarrow (26x)^2=(24x)^2+b^2\\[/tex]

[tex]\longrightarrow 676x^2 = 576x^2+b^2\\ [/tex]

[tex]\longrightarrow b^2=100x^2\\[/tex]

[tex]\longrightarrow b =\sqrt{100x^2}\\[/tex]

[tex]\longrightarrow \boldsymbol{ b = 10x } [/tex]

Now we may find the other ratios as ,

[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{10x}{26x}=\boxed{\boldsymbol{\dfrac{5}{13}}}\\[/tex]

[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}=\dfrac{24x}{10x}=\boxed{\boldsymbol{\dfrac{12}{5}}}\\[/tex]

[tex]\longrightarrow \cosec\theta =\dfrac{hypotenuse}{perpendicular}=\dfrac{26x}{24x}=\boxed{\boldsymbol{\dfrac{13}{12}}}\\ [/tex]

[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{26x}{10x}=\boxed{\boldsymbol{\dfrac{13}{5}}} \\[/tex]

[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{10x}{24x}=\boxed{\boldsymbol{\dfrac{5}{12}}} [/tex]

And we are done !

The graph of the function f(x) is shown.


Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.

Answers

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

what does 13.2 − 1.78 equal

Answers

Answer: it equals 11.42

Step-by-step explanation:

Answer:

11.42

Step-by-step explanation:

Henry found some pants on sale for 60% off. If the pants were originally $100, how much are they now?

Answers

If something is 60% off, that means it is now going to be 40% of its original price because

100 - 60 = 40

To find final price multiply the percentage as a decimal by the price.

40% is 40/100 which as a decimal is 0.4

0.4 x 100 = $40

The pants will be 40 dollars.

Answer:

$40

Step-by-step explanation:

Old Sale Price = $100

It was given 60% discount

 60% of 100 = 0.6 x 100 = 60

we remove the discount from  the original price( 100 -60 ) =  40.

So the new sale price for the pants are now $40

System of Equations- pls help with the following problem


Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).

a) x+y=1


2x+y=5





b) x+2y = 4


x +y = 1




c) x-y=-5


x+y= 11



Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

b no.is the correct answer.

Consider the quadratic function.
f(x)=x^(2)+2x-15
If the line of symmetry of the function is located at x=N, what is the value of N?
HELP ASAP

Answers

Answer:

N = -1

explanation:

x = N

solving steps:

[tex]\sf f(x)=x^2+2x-15[/tex]

To find symmetry of a quadratic function.

                                                                   vertex formula    :   [tex]\sf x=\dfrac{-b}{2a}[/tex]

[tex]a=1,\:b=2[/tex]

[tex]\sf x=\dfrac{-2}{2\cdot \:1}[/tex]

[tex]\sf x = -1[/tex]

Then,

N = -1

pls help i will give 5 starts and brainliest question is down below 9:22

Answers

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

= 96 in^2.

Area of unshaded inner shape = (½ x 3 x 4) in^2.

= 6 in^2.

Area of shaded region = (96 – 6) in^2.

= 90 in^2.

HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume

Answers

Answer:

D. Volume

Explanation:

volume - amount of space that a substance occupies

Here the substance is soil and planter will hold the specific volume of soil.

In what areas is leslie's overspending
hurting her budget?
select all that apply.
ignore my check marks those weren’t right pleas help

Answers

Answer:

is there a picture to answer?

Step-by-step explanation:

please help me answer the question in the image

Answers

Answer:

2x/x+2

Step-by-step explanation:

Factor out 2x in the numerator

Then you get: 2x(x+4)

Factor the denominator

Two numbers that multiply to 8 and add to 6(2 and 4)

So you get: (x+2)(x+4)

Now you have: (2x(x+4))/(x+2)(x+4)

Simplify by cancelling the x+4

2x/x+2

Hey there!

Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]

Solving steps:-

[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]

~Done~

explain how you know that \sqrt{37} is a little more that 6.

Answers

You know that sqrt 36 = 6. Thus, because 37 is very close to 36 this means the sqrt 37 must be a little more than 6

Here's how we know that  [tex]\sqrt37[/tex] is a little more than 6:

6 squared is 36.

7 squared is 49.

Since 37 is between 36 and 49, we know that  [tex]\sqrt{37}[/tex] must be between 6 and 7. In other words, [tex]\sqrt{37}[/tex] is a little more than 6.We can also see this visually by looking at a number line. If we plot the numbers from 6 to 7 on a number line, we can see that  [tex]\sqrt{37}[/tex] is somewhere between 6 and 7.

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What is the value of sin(80°)cos(20°) – cos(80°)sin(20°)?

Answers

The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

What is difference formula in trignometry?

The difference formula in trignometry for the sine funciton is given as,

[tex]\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)[/tex]

The trignometric equation given in the problem is,

[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)[/tex]

Compare this equation with the above eqution, we get,

[tex]A=80^o\\B=20^o[/tex]

Thus, this equation can be written as,

[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}[/tex]

Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

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Mr. Sanko downloaded 34 more songs than Mrs. Sanko downloaded. Together they downloaded 220 songs. How many songs did each download?
Let X=Mr. Sanko and Y=Mrs. Sanko

a. Mr. Sanko downloaded 127 songs.
Mrs. Sanko downloaded 93 songs.
b. Mr. Sanko downloaded 93 songs.
Mrs. Sanko downloaded 127 songs.
c. They downloaded the same amount of songs.

Part b: Type the two equations for this situation:

Answers

Short Answer part 1: A
Short Answer part 2: 34+y=x and x+y=220

Explanation: Mr. S (x) downloaded 34 more songs than Mrs. S (y), and so the amount of songs that mr downloaded is equal to the amount of songs Mrs downloaded plus 34. ((34+y=x))

If you add together the amount of songs that mr (x) and Mrs (y) downloaded you will get ((x+y=220)).

Because mr’s (x) songs are equal to ((34+y)), you can substitute the value of x in for x in the equation ((x+y=220)), thus creating the equation ((34+y+y=220)).

Simplify ((34+y+y=220)) by first combining like terms, and then solving for y. When you solve for y, you will find that ((y=93)).

If you plug that value into ((34+y=x)), you will find the equation ((34+93=x)).

Solve for x.

((x=127))

Mr. Sanko (x) downloaded 127 songs, giving you the answer a.

1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4

Answers

Answer:O a=5,b= -4,0 = 9?

Step-by-step explanation:i am not sure if this is right

HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?

Answers

How far both planes travelled is an illustration of distance

Both planes are 510 km apart at 2 pm

How to determine their distance apart?

The rates of the two planes are given as:

Plane A = 300km/h

Plane B = 45km/h

Calculate the difference (r) in their rates

r = 300km/h - 45km/h

This gives

r = 255km/h

At 2 pm, both planes have travelled for 2 hours.

So, the distance between them is:

d = 255 * 2

d = 510km

Hence, both planes are 510 km apart at 2 pm

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Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Answers

Answer:

Hope this helps!!!!!!

Mark Brainlest!!!!!!!!!!

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Ratio = 1 : 3

Let Mark's share be 1x = x

and Henry's share be 3x

We know that Mark gets £9

So,

1x = x = £9

Then 3x = £(3 * 9) = £27

HENCE,

Mark's share = £9

Henry's share = £27

Total money = Mark's share + Henry's share = £9 + £27 = £36

Answer:

£27

Step-by-step explanation:

so it shows mark is 1 while Henry is 3

we know that Mark is 1/4 while Henry is 3/4

/4 because the total is 4 so whatever their ratio is over their total

so we do: 1 = 9

3 = ?

and then u cross multiply

3*9 = 27 ÷ 1 = 27

so Henry receives £27

2x-5y=9
3x+4y=2

solve the simultaneous questions

Answers

Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)

Step-by-step explanation:

simplify (3a^2-6a+3)/(a^2-1) if a is not 1

Answers

[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]

pls help!! does anyone know the answer??? :)

Answers

Step-by-step explanation:

1-(a)

2-(c)

3-(d)

4-(b)

I hope it helped you

If u didn't understand anything pls ask in comment

How do you reduce 3.75 to its lowest terms

Answers

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

what is the area of the figure in square units?​

Answers

Answer:

Area of a Rectangle: l x w

2 x 3 = 6

Area of a Triangle:

[tex] \frac{b \times h}{2} [/tex]

The slanted height of the triangle is 2 and the base of the triangle is also 2 so

[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]

So to get the area of the figure you add the area of the rectangle plus the area of the triangle.

6+2=8

The area of the figure is 8 units square

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