On a number line, suppose the coordinates is A is 0 , and AR =20

The Rickerts decided to set up an account for their daughter to pay for her college education. The day their daughter was born,

KiRa [710]

Answer:

The answer is 2) an = 1000(1.018)n + 750n

Step-by-step explanation:

The day their daughter was born, they deposited $1000 in an account that pays 1.8% compounded annually. This means thaht they have an interest of 1.8% of what they deposited each year.

To know how much interest is in a year, you must first know that 1.8% is the same as 0.018. This is obtained by dividing by 100, that is, you convert from percentage to decimal.

On the other side, what they deposited represents 100%. To convert it to decimal, it must be divided by 100, and it results in 1.

So, you want to know the total amount of money you have after a year, that is, what The Rickerts deposited added interest.

So, all this is represented as follows:

1000*100%(what The Rickerts deposited)+1000*1.8%(interest)

Converting the percentage to decimals:

1000*1+1000*0.018

So, to solve this, a common factor of 1000 will be taken::

1000(1+0.018)
1000*1.018

But with this calculation you get interest after a year. You want to know the amount of money in the account n years after their daughter was born. For that you must multiply by the number of years of your daughter and you get: 1000*1.018*n

On the other hand,The Rickerts deposit an additional $750 into the account on each of her birthdays. On the first birthday, they deposit 750, on the second birthday 750, and so continuously every birthday. So, to know the amount they deposit on the nth birthday, multiply 750 by n: 750*n

Now, knowing finally both expressions, it is possible to know the total amount of money in the account n years after their daughter was born adding both expressions:

an=1000*1.018*n+750*n

8 0

3 years ago

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Jeans were $11.50 with a 15% sales tax. What is the sales tax?

lisov135 [29]

Answer:

1.50

Step-by-step explanation:

7 0

3 years ago

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Find the value of x −8(x−6)=32

RUDIKE [14]

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

4 0

3 years ago

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Please help! (I'll give brainliest to the first right answer.)

a_sh-v [17]

Answer:

1. 2,3; -2, 3

2. Both points share common values, but their absolute values for the x-value vary.

3. 2,3; 2, -3

4. Both points share common values, but their absolute values for the y-value vary.

Step-by-step explanation:

For 1, the answer is thus:

-On the graph, the original point is 2, 3.

-A reflection over the y-axis changes the x-value, so it would be -2,3.

Similar for the next chart:

-The initial point is 2,3.

-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.

The explanation is:

Both points have similar values except with differences in the absolute value.

Hope this helps you.

3 0

3 years ago

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Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of

Misha Larkins [42]

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5 and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

4 0

3 years ago