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2 years ago

3.

1 answer:

5 0

3)
Principal Amount = P = $7200
Interest rate = r = 4% = 0.04
Time = t = 8 years

Formula for compounding is:

$A=P (1+r)^{t}$

Using the values, we get:

$A=7200 (1+0.04)^{8}=9853.70$

Therefore, the compounded amount will be $9853.70

4)
Principal Amount = P = $7200
Compounded Amount = A = $9853.70

Interest Earned = Compounded Amount - Principal Amount
So,
Interest Earned = 9853.70 - 7200 = $2653.70

Therefore, $2653.70 will be earned as interest over a period of 8 years.

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Which measures of central tendency would be affected if the outlier 11 was added to the following set 27,20,34,37,21,42,39

MrRa [10]

Answer:

Median will not be affected by the outlier.

Step-by-step explanation:

With the outlier, the mean will be dragged way down. The median will likely be about the same. Mean is non-resistant to outliers, median is resistant.

Hope this helps!

5 0

3 years ago

Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati

Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

P(t) = 27000 * (1/9)^(t/4)

8 0

3 years ago

Read 2 more answers

Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 percent, and it is customary to l

xeze [42]

So we are given that he ordered a $15 meal
now we need to find how much will he have to pay with tax and tip

so first we find the sales tax of the meal
5% * 15 = 3/4 or 0.75
and the tip
15% * 15 = 9/4 or 2.25

we will add that to the meal price to find the total
15 + 2.25 + 0.75
total is 18
So <span>If Allam ordered a $15 meal, we will have to pay $18 with tax and tip
</span>
Hope this helps :)

3 0

3 years ago

Read 2 more answers

X + 2/3 = 8/9 x=__ ..........................................

stepladder [879]

Answer:

x = -6

Step-by-step explanation:

$x+\frac{2}{3}=\frac{8}{9}x\\\\x = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6$

6 0

2 years ago

Read 2 more answers

What is the length of segment TR with T(-4,5) and R(2, -1)

Brilliant_brown [7]

Answer:

The length of segment TR with T(-4,5) and R(2, -1) is 8.49

Step-by-step explanation:

We need to find the length of segment TR with T(-4,5) and R(2, -1)

The length of segment can be found using distance formula.

The distance formula is: $Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Putting values and finding length

We have: $x_1=-4, y_1=5, x_2=2, y_2=-1$

$Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-(-4))^2+(-1-5)^2}\\Distance = \sqrt{(2+4)^2+(-1-5)^2}\\Distance = \sqrt{(6)^2+(-6)^2}\\Distance = \sqrt{36+36}\\Distance = \sqrt{72}\\Distance=8.49$

We found Distance = 8.49

So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.

5 0

2 years ago