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Dmitrij [34]
2 years ago
9

In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month.

after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

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1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by
Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by  distribution with

  mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

 second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

   290 yards

∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = \frac{290-304}{8} = -1.75

* Let us use the normal distribution table to find the corresponding

 area of z = -1.75

∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

  onto the green if he hits the ball a distance  in the top 10% of all

  his drives

- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

  to the right or 90% to the left

∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = \frac{x-304}{8}

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0
2 years ago
Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many way
Vadim26 [7]

Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

8 0
2 years ago
Rate and Ratio Sipho paid 605,50 for 70litres of petrol.What did the petrol cost per litre.​
amid [387]
605,50/70= 929 per liter or 9.29 if it was suppose to be 605.50 price.
6 0
2 years ago
PLEASE HELP. I don't know what to do. I tryed all the equations and the problem but none matched up. plz help
xz_007 [3.2K]

Answer:

178

1900 = 5(x+202)

Step-by-step explanation:

Sasha= 5 times Bess and Jeremy

1900 = 5 (202 + X)

/5             /5

380 = 202 + x

-202     -202

178 = x


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3 years ago
Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20?
pishuonlain [190]
-20 because 40 is a positive and spent is negative
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