The sum of the terms of an infinite sequence is called

A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.

From the given information;

The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;

[tex]\mathbf{A = P ( 1+ r)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]

[tex]\mathbf{3 = 2( 1.045)^t}[/tex]

[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

t = 9.2 years

Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.

Learn more about simple interest here:

https://brainly.com/question/22621039?referrer=searchResults

Answer:

s+s+s =p

2x+6+2(x-4)+x+3=p

2x+ 6 + 2x-8+x+3=p

let marked price be 100x

16% discount , sale price = 84x

13% VAT = 13/100 *84x= 10.92x

ADD 94.92x = Rs 9492

10.92x = Rs 1092 ANSWER

Answer:

24

Step-by-step explanation:

Add 15 to 12 which is 27 then subtract 3 from 27 which gives you 24

Answer:

it's 24

Step-by-step explanation:

first add up the 12 and 15 that equals 27 now subtract 3 that's going to be 24

Answer:

Step-by-step explanation:

B=brackets

i= indices

D= division

M=multiplication

A= addition

S= subtraction

7x10000/5x100/6x1

7x10000=70000/500/6

70000/500=140/6= 23.33

Answer:

b=2/5 F

Hope you pass whatever you are doing :)

Answer:

x+9=18-2x

-x         -x

9=18-3x

-18-18

-9=-3x

-3   -3

3=x

x=3  

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable and solve for x for the question “ x + 9 = 18 + -2x”.

Hope this helps :)

Answer:

X=1

POQ= 1/3x+1/3= 1/3(1)+1/3=2/3

QOR= 2x +4/3= 2(1)+4/3= 10/3

POR= 5x-1= 5(1)-1= 4

Step-by-step explanation:

Answer:

-27/35, and the decimal answer -0.77142857142

Step-by-step explanation:

multiply the fractions- 3 x 9 equals 27, 7 x 5 equals 35. The answer is negative.

[tex] - 1 - 2(9) = - 1 - 18 = - 19[/tex]

Answer:   D

Step-by-step explanation:

Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation

Answer:

25

Step-by-step explanation:

Answer:

um I'm not sure exactly what you wrote are you asking 1/2 divided by negative 9/5?

if so your answer will be negative 5/18

Answer:

256 ft

Step-by-step explanation:

Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.

4=(1/4)√h

16=√h

h= 16^2 =256 ft

Step-by-step explanation:

h = (4 ÷ ¼)²

h = (4 × 4)²

h = 16² = 256ft

Answer:

6

Step-by-step explanation:

54 divided by 9 = 6

The picture below shows how to solve for the missing values and what each variable is equal to.

Answer:

Yes, the answer is C {3,5,7}

Domain of a function is the input value and range is the result or output value that we get.

Answer:

I think x = -8. Hope this helps!! :)

Answer:

C

Step-by-step explanation:

5x4=20 that gives u an idea to multiple triangle ABC to 4 to get DEF since they are similar triangles

Answer:

C

Step-by-step explanation:

Multiply 5 by 4 to get FE=20 then multiply each side by 4

Answer:

8.8420

Step-by-step explanation:

Answer:

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Answer:

slope= - 9/4    yintercept 0,2

Step-by-step explanation:

Answer:

slope = - [tex]\frac{9}{4}[/tex] , y- intercept = 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 )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide terms by 4 )

y = - [tex]\frac{9}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = - [tex]\frac{9}{4}[/tex] and y- intercept c = 2

Answer:

1/2

Step-by-step explanation:

Slope is the rise over the run.  This means the difference in the y values over the difference in the x values.

The two points on the graph are (2,-2) and ( -6, -6 ).

The difference in the y values is a total of 4 units.

The difference in the x values is a total of 8 units.

The slope would then be 4/8 which simplifies to 1/2.

The line slants upward from left to right so the slope is positive.

Answer:

(h)=h*19.625

Step-by-step explanation:

start by dividing the diameter by 2 to get the radius:

radius=2.5

the area of a circle is calculated with the formula pi*r^2

solve using our radius to get the area:

area of base= 19.625

using this, we can get our function:

(h)=h*19.625

Answer:

63

Step-by-step explanation:

Answer:  

The answer to 441 divided by 7 calculated using Long Division is:

63

0 Remainder

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

m is the slope

b is the y-intercept

For table 1,

Get the slope:

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:  

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

Answer: 1 2/3

Step-by-step explanation: