Mathematics College

11. You have $200 and wish to buy a computer. You find an investment that increases
by 0.6% each month, and you put your $200 into the account. When will the
account enable you to purchase a computer costing $500?

Answers

Answer 1

Answer:

I’m not a hundred percent it’s correct

Step-by-step explanation:

I used the online book to get the answer.

Hope this helps

11. You Have $200 And Wish To Buy A Computer. You Find An Investment That Increasesby 0.6% Each Month,
Answer 2

Using an exponential equation, it is found that the account will enable the person to purchase the computer after 153 months.

An exponential equation of increase is modeled by:

[tex]A(n) = A(0)(1 + r)^n[/tex]

In which

A(0) is the initial value.r is the rate of increase, as a decimal.

In this problem:

$200 put into the account, thus [tex]A(0) = 200[/tex].Increases 0.6% each month, thus [tex]r = 0.006[/tex].

Then:

[tex]A(n) = A(0)(1 + r)^n[/tex]

[tex]A(n) = 200(1 + 0.006)^n[/tex]

[tex]A(n) = 200(1.006)^n[/tex]

You need $500 to purchase the computer, then:

[tex]A(n) = 200(1.006)^n[/tex]

[tex]500 = 200(1.006)^n[/tex]

[tex](1.006)^n = \frac{500}{200}[/tex]

[tex](1.006)^n = 2.5[/tex]

[tex]\log{(1.006)^n} = \log{2.5}[/tex]

[tex]n\log{1.006} = \log{2.5}[/tex]

[tex]n = \frac{\log{2.5}}{\log{1.006}}[/tex]

[tex]n = 153[/tex]

The account will enable you to purchase a computer after 153 months.

A similar problem is given at https://brainly.com/question/14773454

Related Questions

Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33x + 28

Answers

Answer:

A. 15x^3 -44x^2 +9x +28

Step-by-step explanation:

(5x^2 -3x -4)(3x - 7)

first, distribute by multiplying the terms in each parenthesis with each other:

(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)

simplify:

15x^3 -35x^2 -9x^2 +21x -12x +28

Now combine like terms:

15x^3 -44x^2 +9x +28

Find the number that should be added to the expression to make it a perfect square. k^2-5k

Answers

(K-5/2)^2-25/4 is your answer

Answer:

25/4

Step-by-step explanation:

(5.23x + 3.76) − (3.67x − 6.39)

Answers

Answer:

(5.23x + 3.76) - (3.67x - 6.39)

K C C

(5.23x + 3.76) + (-3.67x + 6.39)

1.56x + 10.15

Step-by-step explanation:

Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0

Answers

Answer:

1 / 4c+5

Step-by-step explanation:

Given :

4c + 5 ≠ 0

c is a real number.

Find the multiplicative inverse of equation ?

The multiplicative inverse of a number is reciprocal of number

Let

x = a number

The multiplicative inverse = 1/x

Let 4c + 5 ≠ 0 be a number x

Then, the multiplicative inverse of x = 1/x

x = 4c + 5

1/x = 1 / 4c+5

Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5

Answer:

yes what he said

Step-by-step explanation:

on edge

If 40% of a number is 32, find 10% of that number.

Answers

Answer: 8

10% of that number would be 8.

Explanation:
Since the problem is basically a= p% of b I took 32 and divided it by .40 (which is also equal to 40%) and received the answer of 80.
Then since the question asked what 10% of that number (which is 80) I took .10 and multiplied it to 80 and received 8 as the answer.

Answer:

8

Step-by-step explanation:

ax + b = c for x. is what I want to know

Answers

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

The sum of three consecutive integers is -216. List the numbers from smallest to largest:
Check Answer

Answers

Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

Wha t is the surface area of the square pyramid represented by the net below

Question
112
48
64
96

Answers

Answer:64

Step-by-step explanation:multiply the two numbers

Solve for j.
-12 + 6j = 7j

Answers

Answer:

[tex]\large\boxed{j = -12}[/tex]

Step-by-step explanation:

-12 + 6j = 7j

Subtract 6j from both sides of the equation

[tex]\large\boxed{j = -12}[/tex]

This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.

Hope this helps :)

Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Probability :

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

                                 [tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

           [tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

Learn more about the probability here:

https://brainly.com/question/25870256

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Answers

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

Help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

-1. 0. 1. 2
3 7. 11. 15

What is ZT?
4x + 1
W
Х
2x
T
Z
Y
5x - 6
A 7
B. 14
C. 28
D. 29

Answers

Answer:

2x+14=12

Step-by-step explanation:

when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve

The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The parallelogram WXYZ is shown.

We know that the opposite sides of a parallelogram are congruent to each other. Then we have

YZ = WX

5x - 6 = 4x + 1

5x - 4x = 1 + 6

x = 7

Then the length of the ZT will be

ZT = 2x / 2

ZT = x

ZT = 7

The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ2

Given f(x) = 3x + 4. Find F-1(7)

Please help I’ll give you brainiest answer 100points!!!!!

Answers

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

Answer: Guy above me is right

Step-by-step explanation:

Can anyone help me with my algebra work for #14 and #15?

Answers

14.yes
15. EDF,FDE,ED,FD,DE and DF
(i think this is correct)

4) Find the total cost of a $0.95 pen with a 60% markup.

Answers

$1.52 is the total cost. Good luck and have an amazing day!

When people clear land to build a house or to plant corn and other crops, they are primarily modifying the __________. A. atmosphere B. hemisphere C. hydrosphere D. lithosphere

Answers

Answer:

d lithosphere

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

i just took the test

y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well

Answers

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Answers

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91

A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 4 inches on all sides. What is the area of the frame

Answers

Answer:

Step-by-step explanation: Multiply 4 x 4 or add each side together.

4 x 4 = 16 x 1.5 = 24

The area is 24

How do you do both questions?

Answers

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.

Answers

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.2 0.14 0.09 (a) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below:

Time, t (hours)__1.0__1.5__2.0__2.5__3.0

C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09

Average change of C with respect to t over the interval :

(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Average change = ( change in C / change in t) = C2 - C1 / t2 - t1

1) [1.0, 2.0]

C at t = 1 = 0.35 ; C at t = 2 = 0.20

(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr

11) [1.5, 2.0]

(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr

111) [2.0, 2.5]

(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr

iv) [2.0, 3.0]

(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr

rashida had 18 correct answers and 12 incorrect anwesrs what was rashida score

Answers

Answer:

rashid score = 18/(18+120=18/30

Step-by-step explanation:

100 POINTS HELP / Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

Answer:

slope is zero

Step-by-step explanation:

it is a horizontal line which means the slope all points that lie on the line have a -coordinate

[tex]\huge\boxed{No\;slope}[/tex]

There is no rise over run therefore, there is no slope.

You have to have rise over run to be able to have a slope.

Zander and Chloe were comparing the number of texts they send. Zander has already sent 38 texts and says he sends 28 texts per day. Chloe has sent 52 texts already and says she send 26 texts a day. After __ days, Zander and Chloe will have sent the same amount of texts. A. 5 days B. 6 days C. 7 days D. 9 days

Answers

Answer:

(C) 7

Step-by-step explanation:

We can create an equation here.

We know that Zander has 38 texts. He sends 28 texts per day.

Let us represent x as the number of days.

This can be represented as an expression, [tex]38+28x[/tex].

Same logic for Chloe.

52 texts already, 26 texts per day: [tex]52+26x[/tex]

If their texts are equal, both expression are equivalent to each other.

[tex]38+28x = 52+26x[/tex]

We can simplify this equation to get x on one side of it.

Subtract 38 from both sides:

[tex]28x = 14+26x[/tex]

Subtract 26x from both sides:

[tex]2x =14[/tex]

Divide both sides by 2:

[tex]x = 7[/tex]

So, Chloe and Zander will have sent the same amount of texts after 7 days.

Hope this helped!

simplify. enter the answer in the box.

Answers

Answer:

0.005859375

Step-by-step explanation:

Which of the following is not a rate?

Answers

Answer:

there are no options

Step-by-step explanation:

there's no image attached

yeah

Step-by-step explanation:

Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years

Answers

Answer:

you will get back 167$

Step-by-step explanation:

x +2y = 5
5x -y = 3
I need help with my homework please anyone

Answers

Answer:

Step-by-step explanation:

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