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3 years ago

Tom and Kathy want to borrow $35,000 in order to build an addition to their home.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

I think its C you can hate how much you want if I'm wrong im more of a no tester when I get an answer i check but not online

Step-by-step explanation:

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Can I get help please and thank you

Ipatiy [6.2K]

9514 1404 393

Answer:

a. 0.81

b. v = 28000(0.81^n)

c. 2757.36

Step-by-step explanation:

a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...

1 -0.19 = 0.81

b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:

value = (original value) × (growth factor)^n

v = 28000(0.81^n)

c. For n=11, this is ...

v = 28000(0.81^11) ≈ 2757.36

The value of the truck after 11 years is about $2757.

6 0

3 years ago

Which equation gives the number of 1/4 centimeter that are in 7/8 centimeter?

lesya692 [45]

The answer is B.

remember to use the reciprocal when dividing with fractions

5 0

3 years ago

Read 2 more answers

Select all of the expressions that are equivalent to -7.

Ivanshal [37]

Answer:

the answers that are equivalent are a, b, and e

6 0

3 years ago

A low-wattage radio station can be heard only within a certain distance from the station. On the graph below, the circular regio

zmey [24]

For the answer to the question above,
My answer in which <span>equation represents the boundary for the region where the station can be heard</span> would be multiple choice letter <span>D. (x + 6)^2 + (y + 1)^2 = 16
I hope my answer helped you solve your problem, Have a nice day!</span>

5 0

3 years ago

The frequency distributions of two data sets are shown in the dot plots below.

fredd [130]

Answer:

1st, 4th and 6th statements are true.

Step-by-step explanation:

We have been given two dot-plots and we are asked to select all the true statements about given dot plots.

Let us write all the data points of both dot plots.

Data set 1:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7.

Data set 2:

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4.

1. The mean of data set 1 is greater than the mean of data set 2.

Let us find mean of both data sets.

$\text{Mean of data set 1}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4+7}{19}$

$\text{Mean of data set 1}=\frac{45}{19}$

$\text{Mean of data set 1}=2.3684\approx 2.37$

$\text{Mean of data set 2}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4}{18}$

$\text{Mean of data set 2}=\frac{38}{18}$

$\text{Mean of data set 2}=2.11$

We can see that mean of data set 1 is greater than mean of data set 2, therefore, 1st statement is true.

2. The mean of data set 1 is equal to the mean of data set 2.

Since mean of data set 1 is greater than mean of data set 2, therefore, 2nd statement is false.

3. The median of data set 1 is greater than the median of data set 2.

Since data set 1 has 19 data points, so median of data set 1 will be value of 10th data set, that is 2.

Our data set 2 has 18 data points, so median of data set 2 will be the average of 9th and 10th data points.

$\text{Median of data set 2}=\frac{2+2}{2}$

$\text{Median of data set 2}=\frac{4}{2}=2$

Since median of data set 2 is also 2, therefore, 3rd statement is not true.

4. The median of data set 1 is equal to the median of data set 2.

Since both data set's median is 2, therefore, 4th statement is true.

5. The standard deviation of data set 1 is smaller than the standard deviation of data set 2.

Using online SD calculator we get SD of data set 1 is 1.422 and SD of data set 2 is 0.936. Since 1.422 is greater than 0.936, therefore, 5th statement is false.

6. The data sets have the same interquartile range.

$Q_1\text{ of data set 1}=1$