You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?

Answers

Answer 1

Answer:

12.5 years = 216 months

Step-by-step explanation:

4% of 2000= $80

1000/80=12.5

It will take 12.5 years to make $1000 on its own without adding additonal funds.


Related Questions

Elaine sold twice as many T-shirts as Kim
How many did each girl sell if the total
number of T-shirts sold was 27?
(no links no files) I need equation

Answers

x + 2x = y this equation will solve the problem

Trigonometry, how would I find the area of this triangle?

Answers

Answer:

Step-by-step explanation:

Area of triangle = 1/2 * base * height

Use the side of length 5.6cm as base, the height will be a perpendicular line from the base to the tip of the triangle.

From the right-angle triangle formed by the height and the side of length 3.9cm,

sin(56°45') = height / 3.9

height = 3.9*sin(56°45')

Substituting back into the area equation:

Area = 1/2*5.6*3.9*sin(56°45')

= 9.0cm^2

= 9cm^2

Use sine rule for Area

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}(3.9)(5.6)sin56°45'[/tex]

[tex]\\ \rm\rightarrowtail Area=10.92(0.836)[/tex]

[tex]\\ \rm\rightarrowtail Area=10.22cm^2[/tex]

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

is 48,200 in scientific notation?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \:48200[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]

help pls first correct answer gets brainleist ​

Answers

n²= 7²+3²

=49+9

=58

n= V58

=7.62m

Thank you to who ever answers this

Answers

Answer:

The answer is G.

Step-by-step explanation:

Trust me.

Answer:

J is the answer

Step-by-step explanation:

I had given the explanation but brainly deleted it for having a link.

Just use this:

"What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of 101010 boxes of raisins has these weights (in grams):

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Step 2: Find the median.

The median is the mean of the middle two numbers:

252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838

\dfrac{30+34}{2}=32

2

30+34

=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32

The median is 323232.

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

252525, 282828, \large{29}2929, 292929, 303030

Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29

The third quartile is the median of the data points to the right of the median.

343434, 353535, \large{35}3535, 373737, 383838

Q_3=35Q

3

=35Q, start subscript, 3, end subscript, equals, 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is 252525.

The max is the largest data point, which is 383838.

The five-number summary is 252525, 292929, 323232, 353535, 383838.

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from Q_1Q

1

Q, start subscript, 1, end subscript to Q_3Q

3

Q, start subscript, 3, end subscript with a vertical line through the median.

Recall that Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q

3

=35.Q, start subscript, 3, end subscript, equals, 35, point

Step 3: Draw a whisker from Q_1Q

1

Q, start subscript, 1, end subscript to the min and from Q_3Q

3

Q, start subscript, 3, end subscript to the max.

Recall that the min is 252525 and the max is 383838.

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise."

Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.

Answers

Based on the information provided, the promotion method subway is using is sales promotion.

What is promotion?

It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.

What are the promotion methods?

Most common methods include:

Direct selling.Public relations.Sales promotion.

What is sales promotion?

This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.

Learn more about sales in: https://brainly.com/question/15375944

Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. the length of a a prime is 16. what is the scale factor of the dilation of line segment ba? one-fifth one-fourth 4 5

Answers

The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

What is the dilation of the figure?

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime.  The image of the given problem is attached below. The length of CA is 4.

[tex]CA=4[/tex]

The length of a prime is 16.

[tex]AA'=16[/tex]

The new dimension will be,

[tex]CA'=CA+AA'\\CA'=4+16\\CA'=20[/tex]

Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,

[tex]r=\dfrac{20}{4}\\r=5[/tex]

This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

Learn more about the dilation of the figure here;

https://brainly.com/question/3457976

Answer:

the answer is 5

Step-by-step explanation:

D

Find the area. What type of triangle is triangle ABC?

Answers

Answer:

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.

Step-by-step explanation:

please help me with the question in the picture

Answers

Answer:

(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).

Step-by-step explanation:

x² + 2x - 35:

what multiplies into -35 and adds into 2?

7 and -5

so the top is now (x + 7)(x - 5)

x² + x - 42

what multiplies into -42 and adds into 1?

-6 and 7

so the bottom is now (x + 7)(x - 6)

the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)

Answer:

[tex]\frac{x-5}{x-6}[/tex]

Step-by-step explanation:

Let's start with the numerator to factor it.

We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]

Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:

[tex]x^2+x-42=(x+7)(x-6)[/tex].

Now you can simplify

[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]

Angle 1 and Angle _____________ are supplementary angles.

Answers

Answer: number 2

Step-by-step explanation: so a supplementary Angle adds up to a 180 angle so it would be number 2 I think.

please help i am confused

Answers

Answer:

Step-by-step explanation:

If 70% passed both, then that means 30% passed either one test, or neither test.

Since 80% passed the first test, we know that 20% of the students failed the first test.

This means that the other 10% of the students came from the 80% that already passed the first test.

These make up 10/80 = 12.5% of the people that passed the first test, meaning your answer is 100-12.5=87.5%

how do you do thissss???

Answers

The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².

How to calculate surface area

The figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:

Surface area = bh + l(p)

where

p = perimeter of the triangular basel = height of prismb = base of the triangular baseh = height of the triangular base

Therefore,

p = 6 + 6 + 6 = 18 cm

l = 7 cm

b = 6 cm

h = 5.2 cm

Therefore,

Surface area = (6 × 5.2) + 7(18)

Surface area = 31.2 + 126

Surface area = 157.2 cm²

learn more on surface area here: https://brainly.com/question/2835293

An object is attached by a string to the end of a spring. Fang throws the object upwards and starts a stopwatch at t=0t=0t, equals, 0 seconds. The object starts oscillating vertically in a periodic way that can be modeled by a trigonometric function.
The object's average height is -20\text{ cm}−20 cmminus, 20, start text, space, c, m, end text (measured from the top of the spring). It first achieves that average height on the way up at t=0.2t=0.2t, equals, 0, point, 2 seconds, and then again every 222 seconds. The object's maximum and minimum heights are each 5\text{ cm}5 cm5, start text, space, c, m, end text from its average height.
Find the formula of the trigonometric function that models the height HHH of the weight ttt seconds after Fang started the stopwatch. Define the function using radians.
\qquad H(t) =H(t)=H, left parenthesis, t, right parenthesis, equals
What is the height of the object after 0.60.60, point, 6 seconds? Round your answer, if necessary, to two decimal places.

Answers

The object attached to a string illustrates a sinusoidal trigonometric function

The trigonometric function is H(t) = 5sin(π/2(t-0.2))-20, and the object's height after 0.6 seconds is  -17.06 cm

How to determine the trigonometry function model?

The trigonometry model of the object is a sine function represented by:

H(t) = Asin(B(t - c)) + D

The maximum height is 5 cm.

So, we have:

Amplitude, A = 5

The average height is - 20 cm.

So, we have

Vertical shift, D = -20

Its first average height is at t = 0.2.

So, we have:

Horizontal shift, C = 0.2

The period B is then calculated as:

B = π/t

The object reaches the maximum height every 2 seconds.

So, we have:

B = π/2

Substitute these values in H(t) = Asin(B(t - c)) + D

H(t) = 5sin(π/2(t-0.2))-20

Hence, the trigonometric function is H(t) = 5sin(π/2(t-0.2))-20

The height of the object after 0.6 seconds

Substitute 0.6 for t in H(t)

H(0.6) = 5sin(π/2(0.6-0.2))-20

Evaluate

H(0.6) = -17.06

Hence, the object's height after 0.6 seconds is  -17.06 cm

Read more about trigonometric functions at:

https://brainly.com/question/10700288

Answer:

What is the importance of biology laboratory?

Biological Science Laboratory Apparatus is essential for meeting our basic needs of food, clothing, shelter, health, energy, clean air, water and soil. Biological Science Laboratory Apparatus enrich the quality of life in numerous ways by providing new solutions to problems in health and materials and energy usage.

Can someone help me out with this?

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

a : b : c = 1 : √3 : 2

We have:

b = 2√3 and c = RT

Use the ratio to find the lenght of RT

2√3 : RT = √3 : 2RT = 2*2√3/√3RT = 4

So the value of x is 4 units

Find RT

sin60=2√3/RT√3/2=2√3/RTRT=4√3/√3RT=4

Now

tan45=x/4x=4

A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of the figure?
Group of answer choices

33.75 ft²

43.75 ft²

67.5 ft²

22.5 ft²

Answers

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Natoshia's den is 4 feet longer than it is wide. If the​ den's area is 320 square​ feet, what are the dimensions of the​ room?

Answers

Dimensions : 16 x 20

Let the width be xthen the length: x + 4

                     area of rectangle = Length * Width

solving steps:

(x+4)(x) = 320x² + 4x = 320x² + 4x - 320 = 0x² +20x -16x -320 = 0x(x + 20) -16(x+20) = 0(x-16)(x+20) = 0x = 16, -20x = 16                     [ As length or width can never be negative ]

So we found Width = 16 feet

Length:

16 + 420 feet

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

area = 320width = xlength = x + 4

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

2/5 g+3h -6 when g=10 h=6

Answers

hello!

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{2}{5}g+3h-6 }[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+18-6}[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+12}[/tex]

Multiply:

[tex]\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}[/tex]

Final Step:-

[tex]\pmb{4+12}[/tex]

[tex]\pmb{16}[/tex]

======================================================

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?​

Answers

Answer:

Add 1 unit to the X coordinates and Y coordinates for each new pair.

step-by-step explanation:

X: 10 + 1 = 11 + 1 = 12

Y: 20 + 1 = 21 + 1 = 22

Pllllssss answer!! i only have a few more minutess!! (i'll give brainilest) tyler wants to buy some cherries at the farmer's market. he has $ 10 and cherries cost $4 per pound. 1. if c is the number of pounds of cherries that tyler can buy, write one or more inequalities or equations describing c. 2. can 2 be a value of c? can 3 be a value of c? what about -1? explain your reasoning. 3. if m is the amount of money, in dollars. tyler can spend, write one or more inequalities or equations describing m. 4. can 8 be a value of m? can 2 be a value of m? what about 10.5? explain your reasoning. did you answer all 4 parts?​

Answers

answer:

step by step explanation:

10-4 = c

6 = c

he can buy 2 pounds of cherries

2. 2 can be the value of c

c = 2

10- 4c

10- 4(2)

10 - 8 = 2

c = 3

10 - 4c

10- 4(3)

10 - 12 = -2

c = -1

10 - 4(-1)

10 - (-4)

10 + 4

= 14

manage this

mark me brainliest

I need the green box with question mark I can’t get the second part

Answers

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2

Answers

Voy a buscar el número y le digo el resultado

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

c

Step-by-step explanation:

1. Janelle began the work below to find 368 ÷ 16. Complete the work.​

Answers

Answer:

23

Step-by-step explanation:

[tex]368/16=23[/tex]

23 is the answer because if you divide the answer will be 23.

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer:

34? Idek

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Y^2+8y+2 y=-5 evaluate the expression

Answers

Answer:

the correct answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

pls mark brainliest if this helps :)

Solve the system of equations at right. 2^(x+y)=16 2^(2x+y)= 1/8

Answers

Answer:

  (x, y) = (-7, 11)

Step-by-step explanation:

The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.

First equation:

  2^(x+y) = 16

  2^(x +y) = 2^4 . . . . use the same base to write the constant

  x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)

Second equation:

  2^(2x +y) = 1/8

  2^(2x +y) = 2^(-3) . . . . use the same base to write the constant

  2x +y = -3 . . . . . . equate exponents of 2

Solve the linear equations:

We can subtract the first equation from the second to get ...

  (2x +y) -(x +y) = (-3) -(4)

  x = -7

  y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y

The solution to the system is (x, y) = (-7, 11).

Whoever answers first gets 30 points plus brainliest

how many months are there in 7 years???

good luck ;)

Answers

Answer:

84

Step-by-step explanation:

1 year= 12 months

7 years × 12 months each= 84 months in total for 4 years

The function P(x) is mapped to I(x) by a dilation in the following graph.
Which answer gives the correct transformation of P(x) to get to I(x)?

Answers

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

From the graph of I(x) and P(x), we can see that:

I(x) = 2P(x)

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Find out more on transformation at: https://brainly.com/question/1548871

ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.

Number of Days per person.
And days

How many people who were surveyed exercised fewer than 4 days last week?

12
14
16
18

Answers

Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Other Questions
The _____ of two sets X and Y is denoted by X-Y What is currently the Texas Railroad Commission's primary function?1.overseeing the interstate railroad transportation2.promoting rail and trucking while regulating the safety and environmental aspects of the industry3.regulation of the oil and gas industry4.safety oversight for rail, trucking, and river traffic5.regulatory authority over terminals, wharves, and heavy industries Solve the following equation for x.12x^2-36x=0 Please Answer this as fast as possible thanks How and why do organisms interact with one another? 1.anyJuan and Maria have noticed that all the frogs in their local pond have beenvery quiet recently. When they went to the pond, they could no longer hearof them. Then they saw a few of them were dead. To which agencyshould they report this problem?A. Florida Department of EducationB. Florida Department of Elder AffairsC. Florida Department of Veterans AffairsD. Florida Department of Environmental Protection Leslie tells her therapist that she constantly feels survivors guilt. What MOST likely happened in Leslies life to make her feel this way? A. Her sister died in a car accident, but Leslie did not. B. Leslie was in an abusive relationship for many years. C. Her parents were addicted to drugs when Leslie was young. D. Leslie went through the five stages of grief after her mom died. solve for x: -3(x-2)^2+17=0 round your answer to the nearest hundredth What is the new period if the pendulum is taken to a planet that has 4 times the mass and 4 times the radius of earth Help me please with my historyQuestion 11 (1 point) How did the Compromise of 1877 influence African American civil rights?Question 11 options:It required the federal government to propose new amendments that restricted African American rights, helping southern states overturn federal civil rights lawsIt allowed the federal government to continue to reshape southern society, increasing rights for African AmericansIt gave African Americans more roles in the federal government, giving them more power to reshape the SouthIt signaled that the federal government would refrain from actively supporting African American rights, allowing Southern Democrats to overturn political gains by African AmericansQuestion 12 (1 point) SavedHow did the United States government observe the 100th anniversary of the signing of the Declaration of Independence in 1876?Question 12 options:It did not celebrate the event, as it was still engaged in the Civil WarCelebratory events were held, but were largely subdued as the nation was still feeling divided and experiencing the effects of the Civil WarMajor celebrations were held throughout the country, acknowledging our country's united and national spiritIn celebration of the major milestone, political parties were abolished what is the difference between bacteria and cancer cells which of these was essential to the growth of a sharednational culture? 6 cm8 cm13 cm5.3 cm-What is the surface area? Fix the one word that is used incorrectly.SidneypaintsanddrawsgoodbutherrealtalentiscreativewritingShecanmakeeventhemostboringsituationsexcitingthroughheruseofwords Which of the following is equivalent to 1 and 5/8 Katie practiced her flute for 45 mins Then she ate a snack for 15 mins Next She watched televosion for 30 mins until 6:00 p.m at what time did Katie start practicing the flute A mother shared $400 amongst her three daughters Amy, Beatrice and Claire in the ratio of 3:2:5 respectively. How much money did Amy receive? - 11. Why will the kidnappers correspond through letters?A. Letters can't be traced.B. There are no telephonesC. They can't afford to pay for the telephone calls.D. None of the above How long can someone leave their belongings on your property. Measuring performance relative to planned objectives and standards is part of:.