plz plz plz plz plz HELP

Answer:

8.8420

Step-by-step explanation:

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:

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:

25

Step-by-step explanation:

Answer: 1 2/3

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.

I gotten this question before the answer is 3

Answer:

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

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:

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:

y = - 5x + 21

Step-by-step explanation:

Slope: -5

Point: (5, -4)

b = - 4 - (- 5)(5)

b = - 4 + 25

b = 21

Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.

Given the following data:

To find the value of y, when x = 10:

Mathematically, translating the inverse relationship between x and y, we have:

[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]

k = 400

Now, we can find the value of y, when x = 10:

[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]

y = 4

Read more: https://brainly.com/question/18676621

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:

Yes

Step-by-step explanation:

Because any vertical line drawn doesn't meet the graph at two points.

So this concludes that there is a single output for any input. Which is the basic requirement for a function

Answer:

Answer:

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x = 72

y = 54

z = 54

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

The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

--------------

For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

--------------

As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.

Answer:   D

Step-by-step explanation:

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

Answer:

I do not know if there is this worksheet online which comes with answers, but you can post questions here on brainly, and I can help you clarify them!!

:>>

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:

s+s+s =p

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

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

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:

44

Step-by-step explanation:

Isosceles triangles have two angles that are equal.  If the two equal angles are 68

We have  68, 68, and an unknown angle x

They add to 180

68+68+x = 180

136+x=180

x =180-136

x =44

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:

First number line: 3rd line from 0

Second number line: 7th line from 0

(Sorry if I explained it kinda weird, hope this helps!)

Step-by-step explanation:

On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is  plot the dot on 3/5, or the 3rd line from 0.

Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.