Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

every day he doubles the number of sold cars compared to the previous day.

so the sequence goes along the powers of 2 :

1

2

4

8

16

32

64

128

256

512

1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.

but - maybe we reached the total of 1000 cars already before that.

as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.

e.g. 8 = 4 + 2 + 1 + 1

64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1

therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.

so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.

Answer 2

It takes 11 days for the salesman to sell at least 1000 cars.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.

The inequality is : a(1-rⁿ)/(1-r) ≥ 1000

In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:

1(1-2ⁿ) ≥ 1000

1-2ⁿ ≥ 1000

2ⁿ ≤ 999

Now we can take the log base 2 of both sides

n ≤ log₂(999) +1

n ≤  9.97+1

n ≤ 11

As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2


Related Questions

What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x

Answers

Answer:

GCF = 16

Step-by-step explanation:

All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.

Answer:

GCF = 16

Step-by-step explanation:

64/16 = 4

16/16 = 1

80/16 = 5

All of the terms in the polynomial are able to be divided by 16 the GCF.

A.

B.

C.

D.

Choose the one that would not fall on this line

Answers

The answer is B (2, 1)

Explanation:

The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.

Using the figure, find the missing values. Round each value to the nearest whole number.

Answers

Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost​

Answers

Answer:

0.20

Step-by-step explanation:

What is the sum of the interior
angles of the polygon shown below?

Answers

900 let me know if it works!

what number lies in between 18 and 24

Answers

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle

Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?

Answers

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

z2+4z-165=(z-11)(z+-15)

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

please help quickly pls D:

Answers

the fourth one best summarizes the passage

What is the distance between (7,2) and (-3,2)?
A.8
B.12
C.4
D.10

Answers

Answer:

The answer is D

......(don't mind this it's because it says that it needs to be 20 characters long) but the answer is D

The answer is D (10)

Explanation:

Let (7, 2) be (x1, y1) and (-3, 2) be (x2, y2)

Using the Distance Formula,
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
= sqrt[(- 3 - 7)^2 + (2 - 2)^2]
= sqrt[(-10)^2 + 0]
= sqrt[100]
= 10 units

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

What are all possible values of x? (This is not a right triangle!)

Answers

Answer:

solution set for x = { 4,5,6}

Answer:

2<x<12

Step-by-step explanation:

Firstly, look at this formula-

a-b<x<a+b

If we make 7, A, and 5, B, then the formula would be 7-5<x<7+5

So after you do the math it would be 2<x<12

Hence, the answer is 2<x<12

BTW if the answer is correct then can you please mark me brainlyest?

I'm only 9 years old

Thanks!

HELP PLZ I LOVE YOU GUY LET GOOOOO

Answers

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

solve 3x-y=7 for x if weird answer will report

Answers

Answer:

x = 1/3y +7/3

Step-by-step explanation:

3x-y=7

Add y to each side

3x-y+y=7+y

3x = y+7

Divide each side by 3

3x/3 = y/3 + 7/3

x = 1/3y +7/3

Answer:

x= 7/3 + y/3

Step-by-step explanation:

divide each term by 3 and simplify

What is the solution to 1/2|x|=-3?

A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist

Answers

Answer:

The answer is D: No solutions exist

a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit​

Answers

Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3

Answers

Answer:

69

Step-by-step explanation:

69

HELP ME OUT PLEASEEEEEEEEEEEe

Answers

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?

Answers

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.

Answers

Answer:

6.5 feet

Step-by-step explanation:

The guy above me is correct its 6.5 feet

find the value of x HELP PLS

Answers

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.

Answers

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.

Calculate the marked price (original price) if

a. After 25% discount, the price of an article is Rs 7500,


please with explanation and calculation the answer should be Rs 10 000

Answers

To get the original price we are going to;

1) Subtract the discount percentage from 100 to get the original price percentage.

100 - 25 = 75 %

2) Now we are going to multiply the discounted price by 100.

7500 x 100 = 750,000

3) Now we are going to divide the discounted price by the original price percentage.

750,000 / 75 = 10,000

Therefore the original price is Rs 10,000

don’t understand how to do this

Answers

Answer:

C

Step-by-step explanation:

I don’t either hahahqhqhahahahahqhqhqhqhqh

pls help me solve this question

Answers

Answer:

1 . x 3 +  3 x 2 y  +  3 x y 2  +  y 3

2. x 3 -  3 x 2  y  +  3 x y 2  -  y 3

3. a + b

4 . a - b

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

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