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2 years ago

100 BRAINLY POINTS

Mathematics

1 answer:

ella [17]2 years ago

7 0

Answer:

After 17 years and 3 months

Step-by-step explanation:

<u>Given function:</u>

f(x)=18000(0.88)^x

We are looking for the value of x at f(x) < 2000

<u>Solve the equation:</u>

2000 = 18000(0.88)^x
(0.88)^x = 2000/18000
(0.88)^x = 0.1111
log (0.88)^x = log 0.1111
x = log 0.1111 / log 0.88
x = 17.18

After 17 years and 3 months the car value drops below $2,000

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Select the correct answer.

romanna [79]

Employees salary [$}: 30,000, 30,000, 35,000, 35,000, 40,000, 40,000.

CEO Salary: $70,000.

The correct answer is this: BOTH JAN AND MARCY ARE CORRECT.

Jan says the employee average salary is $35,000. This is correct as shown below:

Average employee salary = 30,000 + 30,000 + 35,000 +35,000 + 40,000 + 40,000 / 6 = 210 / 6 = $35,000.

Marcy says the average salary of all company members is $40,000. This is also true as shown below.

Average salary of all company members = 30,000 + 30,000 +35,000 + 35,000 + 40,000 + 40,000 + 70,000 / 7 = 280 / 7 = $40,000.

5 0

3 years ago

If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?

____ [38]

Answer:

Step-by-step explanation:

I hoped it helped!!!

You can just divide both 24 by 4 and 4 by 4 to make it 1.

6 0

2 years ago

Read 2 more answers

A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of

NISA [10]

Answer:

75%

Step-by-step explanation:

For this case, the first thing we will do is name variables:

a: percentage from ticket sales

b: ticket sales

We have then:

a = 75%

b = (0.75) * (3200) = $ 2400

Answer:

a = 75%

b = (0.75) * (3200) = $ 2400

The amount of ticket sales is $ 2400.

8 0

1 year ago

What is the area of the triangle?

Arada [10]

The answer is 6 square inches

4 0

3 years ago

Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article "Forces on the Hand in the

Gnoma [55]

Answer:

Step-by-step explanation:

Hello!

The objective is to study whether there is a greater force after impacting on one- handed backhand drive in advanced tennis players than in intermediate tennis players.

Sample 1: Advanced tennis players

X₁: Force (N) on the hand just after impact on a one- handed backhand drive for an advanced tennis player.

n₁= 6

X[bar]₁= 40.29 N

S₁= 11.29

Sample 2: Intermediate players

X₂: Force (N) on the hand just after impact on a one- handed backhand drive for an intermediate tennis player.

n₂= 8

X[bar]₂= 21.40

S₂= 8.30

Assuming that both variables have a normal distribution and both population variances are equal, to compare these two populations is best to do so trough their population means using a t-test for independent samples.

If the force is greater for the advanced players than for the intermediate players, then you'd expect the population mean for the advanced players to be greater than the population mean for the intermediate players:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

α: 0.05

$t= \frac{(X_[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}$

$Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{5*127.51+7*68.92}{6+8-2} }= 9.66$

$t_{H_0}= \frac{(40.29-21.40)-0}{9.66\sqrt{\frac{1}{6} +\frac{1}{8} } } = 3.62$

Using the p-value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value for this test is 0.00024, it is less than the level of significance, so the decision is to reject the null hypothesis.

This means that at a 5% significance level you can conclude that the average force experienced on the hand after a one-handed backhand drive for advanced players is greater than the average force experienced on the hand after a one-handed backhand drive for intermediate players.

I hope this helps!

3 0

3 years ago