Suppose you deposit ​$2,000 in a savings account that pays interest at an annual rate of 5​%. If no money is added or withdrawn from the​ account, answer the following questions.
a. How much will be in the account after 3 ​years?
b. How much will be in the account after 18 ​years?
c. How many years will it take for the account to contain ​$2,500​?
d. How many years will it take for the account to contain ​$3,000​?

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

formula: ab^x

a= starting amount b=exponential increase   x=years

r= rate

a= 2000

r= 5%= 0.05

b=1+r= 1+0.05= 1.05

3 years:

2000(1.05)^3= 2315.25

18 years:

2000(1.05)^18= 4813.23846738  =  4813.24

How many years will it take for the account to contain ​$2,500​?

2500=2000(1.05)^x

2500-2000= 1.05^x

4.57353557= x

4.6= x

How many years will it take for the account to contain ​$3,000​?

3000= 2000(1.05)^x

3000-2000=1.05^x

1000=1.05^x

x= 8.31038622

x= 8.3


Related Questions

What is the domain and range of the function f(x)=2.5^x-6?

Answers

Answer:

uh

Step-by-step explanation:

i dont know

PLZ HELP ASAP I'LL GIVE BRAINLY sketch the solution set to the system of inequalities shown below

x≥2
y
is the point (5,10) a solution to the system? justify.

Answers

Answer:

hi! you can use desmos graphing calculator to help you graph these- just look it up and plug the equation in. its nice for future use as well.

Step-by-step explanation:

and no , (5,10) isn't a solution to the equation because it falls under x≥2 but not under y<x+3. Hope this helps !

Help me please! I need to get this done by today! I am doing ratios and rates! I will also make you the brainlest


Instructions: Write the solution of your answer, and how do you know and you can do it on paper too.


NO WEBSITES!

Answers

Step-by-step explanation:

Students Hours

52 8

X 6

So,

52×6=8×x

312=8x

312/8=x

39 Students Answer

Answer:

39 students

Step-by-step explanation:

52 students/8 hours times =6.5 students per hour

6.5 students per hour x 6 hours = 39 students

Which of the following is a solution to the equation y=-1/4x +8 O (10,8) 0 (48) O (49) O (-8.-10)​

Answers

Answer:

Step-by-step explanation:

The last one -- D -- is the closest correct answer. None of them, however, is right.

y = -1/4 x + 8                      Let x = - 8

y = -1/4 * - 8   +  8              The standard rule is starting from the left, do the multiplication first then do the addition

- 1/4 * - 8 will first of all give you a positive result. When 2 minuses are multiplied they give a positive answer.

-1/4 * - 8 = 1/4 * 8

1/4 * 8 = 2

y = 2 + 8

y = 10

So the ordered pair (-8 , 10) is the answer.

i need help understanding a solution

Answers

Answer:

What they mean is if you substitute the value given for x into the equation given, is the math statement true.

Step-by-step explanation:

1) Is x = -3 a solution to 6x + 4 = -12?

6(-3) + 4 = -18 + 4 = - 14, so no, for number 1, x = -3 is not a solution to 6x + 4 = -12

Make sense?

LMK if you need me to run the rest of them with you.

Answer:

1. No equals -14

2. No equals 14

3. No equals -25

4. Yes

5. Yes

6. No equals 1

7. No equals -29

8. Yes

9. Yes

ℎ ... !

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

$30.41

Step-by-step explanation:

To find the tax she paid take the total amount times the rate of tax

24.20x.05=1.21

Then add the tax to the amount she paid before tax was added and the tip

$1.21+$24.20+$5=$30.41

So she spent $30.41 at the restaurant

2x^2 + 3x - 47 = 0

Resolve essa conta ai pra mim faz favor :)

Answers

Answer:

x  =4.155,  x=− 5.655

x= -  [tex]\frac{3-\sqrt{385} }{4}[/tex],   -  [tex]\frac{3+\sqrt{385} }{4}[/tex]

Step-by-step explanation:

2[tex]x^{2}[/tex] + 3x - 47 = 0

x= -  [tex]\frac{3-\sqrt{385} }{4}[/tex],   -  [tex]\frac{3+\sqrt{385} }{4}[/tex]

      OR

x  =4.155,  x=− 5.655

Answer:

[tex]x { }^{2} + y {}^{2} = 25[/tex]

answer this question

Does 3 work as a solution to the following inequality? 2n > 6

Answers

Answer:

No.

Step-by-step explanation:

If n=3 the only thing you get is 6, which is not more than 6.

A rectangle is drawn with the dimensions shown. The area is listed inside each rectangle.
9
2
?
54
12.
Which number should replace the question mark?
045
O 10
05
Copyright ©2021 Certica Solutions, Inc.

Answers

Answer:

the awnser is 45

Step-by-step explanation:

i just took this test on masery connect

Triangle BCD is isosceles and BC ≅ BD. Circle A is shown. Isosceles triangle C B D has points on the circle. The lengths of C B and B C are congruent. The measure of arc C D is 100 degrees. What is the measure of Arc B C? 100° 120° 130° 160°

Answers

Answer:

130

Step-by-step explanation:

since bc and bd equal the same thing, plug in every answer option until you get to 360.

(130 x 2) = 260

plus cd = 100.

260 + 100 = 360.

The arc length is twice the inscribed angle.

The sum of the three angles must be 180.

The measure of the arc length BC is 130°

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle BCD is isosceles and BC ≅ BD.

Isosceles triangle C B D has points on the circle.

The measure of arc CD is 100 degrees.

This means,

We know that the arc length is twice the inscribed angle.

2 x Angle B = CD

2 x Angle B = 100

Angle B = 100/2

Angle B = 50

Now,

In an isosceles triangle, the angle opposite to the equal sides must be equal.

The sum of the three angles must be 180.

x + x + 50 = 180

2x = 180 - 150

2x = 130

x = 65

Now,

We know that the arc length is twice the inscribed angle.

So,

The measure of the arc length BC.

= 2 x 65

= 130°

Thus,

The measure of the arc length BC is 130°

Learn more about triangles here:

https://brainly.com/question/25950519

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matematyka
g=?
Ep=m*g*h

Answers

Answer:

g = 1

Step-by-step explanation:

ep = m*g*h

ep = 1*1

m = 1

g = 1

h = 1

Brainlist Pls!

One interior angle of a triangle is 60'. The other angle measures are x' and y'. Which of the following could be the values of x
and y? Select all that apply.
A x = 50, y = 90
B. * = 100, y = 20
C. x = 45, y = 45
D. X = 40, y = 80
E. x = 60, y = 60

Answers

Answer:

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

Step-by-step explanation:

The sum of interior angles of a triangle = 180°

From the above question, one of the angles = 60°

The value for the two other interior angles = 180° - 60° = 120°

Hence, the following options could be the values of x and y is given as x + y = 120

Therefore,

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G

If the length of AD is 48 cm, how many centimeters long would DG be?

Answers

Answer:

DG = 16 cm

Step-by-step explanation:

DG is one- third of AD , then

DG = [tex]\frac{1}{3}[/tex] × 48 = 16

The length of the segment DG will be equal to 16 cm.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G  and the length of AD is 48 cm.

The length of the segment DG will be calculated as,

DG is one-third of AD, then

DG = ( 1 / 3 ) × 48

DG = 16

Therefore, the length of the segment DG will be equal to 16 cm.

To know more about geometry follow

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PLEASE HELPPPPPPPPPPPPPPPP AREA AND CIRCUMFERENCE OF A CIRCLE

Answers

Answer:

Area:  200.96 cm

Circumference:  50.24 cm

Explanation: I recently just learned this.  The area of a circle is Pi times radius squared which makes.  3.14 x 8^2 = 3.14 x 64 = 200.96.  SInce none of the original measurements are squared it will be    200.96 cm

The circumference of a circle is diameter times pi which makes  3.14 x (8 x 2) = 3.14 x 16 = 50.24.  Since none of the original measurements are squared it will be 50.24 cm

I hope this helps!  pls mark brainliest if it helps!

Answer:

A=200.96cm²

C=50.24cm

Step-by-step explanation:

A=πr²=π·8²=200.96

C=2πr=2·π·8=50.24

Ciara is making a new dance outfit. She needs 2 ⅓ yards of fabric for the shawl. She needs 1 ¾ years of fabric for the dress. If she has 3 yards of fabric, how much more does she need ?

Answers

Answer: 1 1/12 yards

Step-by-step explanation:

Since Ciara needs 2 ⅓ yards of fabric for the shawl and also needs 1 ¾ yards of fabric for the dress, the total yards needed will be:

= 2⅓ + 1¾

= 2 4/12 + 1 9/12

= 3 13/12

= 4 1/12 yards

Since she has 3 yards of fabric, the number of yards needed more will be:

= 4 1/12 - 3

= 1 1/12

Therefore, she needs 1 1/12 yards more.

60 points Math
Question 2 of 10
Select the two values of x that are roots of this equation.

Answers

☁️Answer☁️

The answers are -1+ square root of 7 and -1- square root of 7. In other words the answers are options B and D.

Hope this helps ;)

Answer:

B and D

Step-by-step explanation:

Solve the equation by completing a square:

x² + 2x - 6 = 0x² + 2x + 1 - 7 = 0(x + 1)² = 7x + 1 = ±√7x = -1 ± √7

Correct choice:

B and D

marking brainliest hurrrryryyyyyyy

Answers

Answer:

385.875 cm^3

Step-by-step explanation:

3.5/2 = 1.75

3.5^2 - 1.75^2 = 9.1875

3.5 * 9.1875/2 = 16.078

16.078 * 6 * 4 = 385.875

The two-way table displays data collected from a random group of middle school and high school students. Which statements are
correct? (frequencies rounded to nearest tenth)
es
A)
The relative frequency of "age 10-13" and "skip breakfast" is 25.9%.
B)
The row conditional relative frequencies of "age 10-13" and "eat breakfast"
is 74.1%.
The row conditional relative frequencies of "age 14-17" and "skip
breakfast" is 66.7%.
The column conditional relative frequencies of eat breakfast" and age 14
17" is 25.5%.
The column conditional relative frequencies of "skip breakfast" and "age
10-13" is 25.6%
D)
E)
Naobra finnertions to Stats and Pre

Answers

Answer:

B) The row conditional relative frequencies of "age 10-13" and "eat breakfast" is 74.1%

C) The row conditional relative frequencies of "age 14-17" and "skips breakfast is 66.7%

D) The column conditional relative frequencies of "eat breakfast" and "age 14-17" is 25.5%

Step-by-step explanation:

A movie rental store, Frank's Movies, offers customers two choices. Customers can pay a yearly membership of $45 and then rent each movie for $2, or they can choose not to pay the membership fee and rent each movie for $3.50. How many movies would you have to rent before membership becomes the cheaper option?

Answers

Answer:

13

Step-by-step explanation:

$45=3.50x

divide both sides by 3.50

13 movies (rounded to nearest whole number)

What is the measure of angle DEA

Answers

Answer:

BAC and DAE are two acronyms for BAC and DAE, respectively. Since they are angles at a point, an arc measuring 204 degrees is 360 degrees. BAC is measured at 11 degrees. 5(11)° = 55° is the measure of DAE.

Step-by-step explanation:

Como se encuentra el volumen de un prisma cuya base es un hexagono regular de lado 3cm y area total de 18 raiz 3cm cubicos

Answers

Pregunta completa:

Calcula el volumen de un prisma cuya base es un hexágono regular con un lado de 3 cm y un área lateral de 18√3 cm ^ 2.

Respuesta:

81/2 cm²

Explicación paso a paso:

El hexágono tiene 6 lados

Longitud de cada lado, L = 3 cm

Por lo tanto, perímetro = 3 * 6 = 18 cm

Área lateral, A = perímetro * altura

A = 18√3; P = 18

18√3 = 18 * h

h = 18√3 / 18

h = √3

Área base = perímetro * apotema / 2

Apotema = raíz cuadrada (3² - (3/2) ²)

Apotema = raíz cuadrada (9 - 9/4)

Apotema = (36 - 9) / 4 = raíz cuadrada (27/4) = √27 / 2

Área base = 18 * √27 / 4 = 9√27 / 2 = 9√9 * 3/2 = 27 / 2√3

Volumen = área de la base * altura

Volumen = 27 / 2√3 * √3

Volumen = 81/2 cm²

Please help with 1234, due tonight would mean everything! Will give brainly!!

Answers

Answer: For 1, the answer is B since there is no rational number for sqrt17.

For 2, the answer is C since it has to be less than 11 whose square is 121 and larger than 10 whose squre is 100.

For 3 the answer is B. Just plug the x value into the equation. => y=1/2(-1)-2 => y= -1/2-2 => -2 1/2.

For 4 the answer is A because the graph first goes up then stys their staticly for a while then plumets down. It fits the description of the first one.

Step-by-step explanation:

Have a nice day, I hope next time you can solve it yourself! :D

A farmers field has the dimensions shown.He needs to find the area of the field so that he knows how much he needs to buy .Jets is the arraignment the field ?

Answers

Answer:

3 4/15 km²

7 7/15 km

Step-by-step explanation:

Please find attached an image showing the dimensions of the farm

Here is the complete question :

A farmer's field has the dimension shown He needs to find the area of the field so that he knows how much seed to buy, and the perimeter so he can buy the fencing. Using the model find the area and perimeter of the field.

area of a rectangle = length x breadth

1 2/5 x 2 1/3

convert the mixed fractions to improper fractions

7/5 x 7/3 = 49/15 = 3 4/15 km²

Perimeter of a rectangle = 2 x (length + breadth)

2 x (1 2/5 + 21/3)

2([tex]1\frac{2}{5} + 2\frac{1}{3}[/tex])

2([tex]3\frac{6 + 5}{15}[/tex])

2([tex]3\frac{11}{15}[/tex])

2 x 56/15 = 112/15 = 7 7/15 km

e) Use the formula 3p + 5q = r to find the value of p when q = 2 and r = 25.6
[3]
1
Note: Identify your final answer clearly by writing p = ...

Answers

P=6.53
Explanation: 3p+3(2)=25.6
3p+6= 25.6
-6. -6.0
3p=19.6
3p/3=19.6/3
P=6.53

Answer:

P = 5.2

Step-by-step explanation:

5q = 5 x 2

= 10

r - 5q =

25.6 - 10

= 15.6

3p = 15.6/3

P = 5.2

the sum of 7 times a number and 3 equals 8

Answers

Answer:

7x+3=8

Step-by-step explanation:

this is the answer

What is the slope of the line represented by 5x - 12y = 24?

Answers

Answer: 5/12 or option J

What is the best approximation for the area of a circle with a diameter of 19 meters?

Use 3.14 to approximate pi.

Plz help

Answers

area=3.14(r)^2
radius is half of diameter
3.14(9.5)^2=283.385
rounded is 283.39

Answer:

area = 283.39 m²

Step-by-step explanation:

r = 19/2 = 9.5

area = πr² = (3.14)(9.5²) = 283.39 m²

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A.
Which measurement is closest to the distance between point A and point A' in units?
A)
4.1 units
B)
4.3 units
o
4.5 units
D)
4.7 units
We

Answers

the correct solution is A thanks

PLSS QUICK
Solve (x+2<5)∩(x-7>-6)

Answers

Answer:

the answer is {x| 1<x<3}

Answer:

# 3

Step-by-step explanation:

right side is x>1

left side is  x<3

What is the value of the expression below when y=7?


y2+5y+6

Answers

Answer:

90

Step-by-step explanation:

y^2 + 5y + 6 =

(7)^2 + 5(7) + 6 =

49 + 35 + 6 =

84 + 6 =

90

7^2 + 5(7) + 6

49 + 35 + 6

90

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