20 points


Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $20 every month. The second option is to put $100 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.

Answers

Answer 1

Answer:

10 months

$500

Step-by-step explanation:

Option 1

300 + 20x, where x is the number of months

Option 2

100 + 40x

Both options reveal same amount:

300 + 20x = 100 + 40x300 - 100 = 40x - 20x200 = 20xx = 200/20x= 10 months

Cost of notebook:

300 + 20*10 = 300 + 200 = $500

Related Questions

can someone help with all of these, please

Answers

Answer:

See below

Step-by-step explanation:

1. Option D

d. -6 < x ≤ 6

2.  Option C

y = 3

3.  Option B

Travis only. Tim's graph only covers positive range

4. No options provided

Domain x = (-oo, +oo)Range y = [-4, 3]

square root of 4/16
can be classified as a____
number and a____
number.

Answers

rational and whole, 4/16 equals 4

9b+5=23 solve equation

Answers

Steps to solve:

9b + 5 = 23

~Subtract 5 to both sides

9b = 18

~Divide 9 to both sides

b = 9

Best of Luck!

Kristen auto wash earns revenues of 9 dollars per customer. In all how many customers does Kristen auto wash need to serve in order to have a total of 36. In revenue

Answers

Answer:

Kristen auto wash earns revenues of 9 dollars per customer

In order to earn 36 they will need 4 customers

36÷9= 4

2+99999999-7+638378892=?

Answers

Answer:

738,378,886

Step-by-step explanation:

1) Add 2+99,999,999 which equals to 100,000,001

2) Then, subtract 100,000,001 with 7 which is 99,999,994

3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886

Hope this helps!

Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. a. What proportion of the packages in the town are delivered on time

Answers

Answer:

Proportion of total delivered on time is 70% or 7/10

Step-by-step explanation:

Here, we want to know the proportion of all the packages delivered on time.

Moving away from the percentage, let’s say the total produced package amongst the 3 is 100

So;

Service A has 60% which is 60

Service B has 30% which is 30

Service C has 10% which is 10

Now from here, we move as follows;

on time rate for service A is 80%

This means 80/100 of the 60 is delivered on time

That will be 80/100 * 60 = 48

For service B, 60% is delivered on time; Thus we have ;

60/100 * 30 = 1800/100 = 18

For service C , 40% of 10

40/100 * 10 = 4

So the total on time delivery will be;

18 + 4+ 48 = 70

So the proportion delivered on time will be 70/100 = 7/10 or 70%

Solve the equation.
1/2K-(k+1/5)=1/10(k+2)

Answers

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

Given 8x^2 – 3 + 4, what is (are) the constant(s)?

Answers

Answer:

-3 and 4

Step-by-step explanation:

[tex]-3[/tex] and [tex]4[/tex] are the constants

since they aren't multiplied a variable

-3 and 4 would be your answer

A basketball player completed ​44.2% of his field goals in the most recent season. He made 287 field goals. How many did he​ attempt?

Answers

44.2%= 287

Let the total attempt = x

(287/x) ×100 = 44.2

287/x = 44.2/100

287/x = 0.442

x = 287/0.442

x= 649

Hope this will help...

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues.

Answers

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

         

Quanto é 60 x 11 + 346²

Answers

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

A standard number cube is rolled. Calculate: P(rolling 1 or 3)

Answers

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)

The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represents an even integer then X +2 represents the next consecutive even integers

Answers

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ([tex]x^2[/tex] and [tex](x+2)^2[/tex]) is (=) 44 (44)"

this means the following:

[tex](x+2)^2-x^2=44[/tex]

solve for x to find the smaller integer

first, expand

[tex](x^2+4x+4)-x^2=44[/tex]

[tex]x^2+4x+4-x^2=44[/tex]

[tex]4x+4=44[/tex]

[tex]4x=40[/tex]

[tex]x=10\rightarrow x+2=10+2=12[/tex]

The 2 integers are 10 and 12

Peyton received a $5,000 bonus at work, and plans to invest it today. Her investment account will earn a 5% interest rate, compounded monthly. What will her account value be in 20 years? Peyton will have $___ in the account after 20 years.

Answers

Answer:

$ 13,563.20

Step-by-step explanation:

Formula for total amount accrued or gathered after interest is compounded monthly = A = P(1 + r/n)^nt

A = Amount after t years

P = Initial amount Invested = $5,000

r = Interest rate = 5% = 0.05

n = compounding frequency = Every month = 12

t = time in years = 20

A = $5000(1 + 0.05/12)^20 × 12

A = $ 13,563.20

Therefore, Peyton will have $13,563.20 in the account after 20 years.

Answer:

FV = PV (1 + )nt

PV = $5,000

r = 0.05

n = 12

t = 20

FV = 5,000 (1 + )12 · 20

= 13,563

Step-by-step explanation:

A question asks: How many hours per week do you watch television? The respondent can answer in minutes and/or hours. What would be the best numerical summary of data from 300 participants? A. Mean, standard deviation, and range B. Median, IQR, and range C. Number and percent of total for each response option D. A or B depending on the distribution of the sample E. B and C

Answers

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

Pls help i dont understand :( will mark brainliest!!

Answers

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

A baseball player leads off the game and hits a long home run. The ball contacts the bat about 5 ft. above the ground with a velocity of 16.0 ft./s. At what time will the ball hit the ground?

Answers

Answer:

16 ft

Step-by-step explanation:

What Is the correct answer??

Answers

The right side stayed the same so ignore the right side

Left Hand Side:

1/4n - 5 - 4n + 3

= (1/4n - 4n) + (-5 + 3)

= (-15/4n) + (-2)

= -15/4n - 2

Ans: D

Enter the reciprocal of the fraction. 14/ 3

Answers

Answer:

3/14

Step-by-step explanation:

simply  flip the number

(3x +1)•2x – x^2 • 3
(3x + 1)^2

Answers

Answer:

3x^2 +2x9x^2 +6x+1

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

Examine the table and determine the rate of change,
What is the rate of change?
O 4
x
y
X-3
1
1
-4
O 3
2
-1
3
2.
5

Answers

Answer:

the anwser is 3

Step-by-step explanation:

Choose the sentence that uses engaging details to describe Mr. Lee. A:Mr. Lee is an older man with gray hair who smiles a lot. B:Mr. Lee looks nice when he smiles. C: Mr. Lee’s entire face crinkles and lights up when he smiles.

Answers

Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.

Step-by-step explanation:

Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.

What is engaging details?

Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.

Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.

Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Learn more about engaging sentences here,
https://brainly.com/question/17346475
#SPJ5

Determine parallel, perpendicular, or neither!

Answers

Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c

whats the product of 0.02 x0.3?PLEASE ANSWER WITH STEPS PLEASEEEE,ITS URGENT

Answers

Answer:

0.006

Step-by-step explanation:

This is the answer because:

Short Way:

1) We know 3 x 2 is 6

2) When we multiply with zeros, how many ever zeros there are in the factors together, should be in the answer. In this case, in the answer we should have 3 zeros, one before the decimal point and two after the decimal point, because in 0.02 there are two zeros while in 0.3 there is only one zero.

3) Finally, the answer would be 0.006

Long Way:

1) You can do long multiplication to solve for the answer.

2) 0.02

   × 0.3

Is 0.006 because 3 x 2 is 6, and then 3 x 0 is 0 and then 3 x 0 is 0.

006

+0000

0.006

Remember to put a decimal point.

Hope this helps!

help help help help help help help

Answers

Answer:

Integer and Irrational Number

Step-by-step explanation:

Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt

Answer:rational number

Step-by-step explanation:

I did ot

I have 30 ones 2 thousands 4hundred thousands 60tens and 100 hundreds what number am I

Answers

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

At a pizza party the guests ate 7 and 1/4 pizzas. Which decimal is equivalent to the amount of pizzas they ate? show your work​

Answers

Answer:

7.25

Step-by-step explanation:

7 1/4=4*7+1=28/4=7.25

how do I write 4.18 as a mixed number​

Answers

Answer:

4 18/100

Step-by-step explanation

Sue is ready to move into a new apartment. Rent is $689 per month. To move in, Sue will need to pay
equal to two months rent. In addition, she will need to pay $78 to hook up the electricity, $134 to set
$118 to set up cable and Internet service. Round each cost to the nearest hundred and estimate abon
Sue to move into her apartment.
Estimate: $

Answers

Answer:1700

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

The values in the table define the function Alx). If g(x) is the inverse of Ax), what is the value of g(1)?
xfx)
-1
-3
1
-1
4
1
6
4.
7
6

Answers

Answer: im pretty sure its D. 4

Step-by-step explanation:

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