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Veseljchak [2.6K]
3 years ago
9

You invested $600 in a savings account that earns simple interest. After 20 years the account had earned $720 in interest. What

was the interest rate on the account? Your answer can be in decimal or percent form.
Mathematics
1 answer:
ANEK [815]3 years ago
4 0
1% interest
Explain: in 20 years interest = $120 120 divided by 20 = 6 so u get $6 each year for $600 so therefore u would get $1 per $100
which equals 1%
hope that helps!
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9x - 5 =12<br>what is x?​
Ainat [17]

Answer: x = 17/9

Step-by-step explanation: Lets solve for x.

9x - 5 = 12

9x - 5 + 5 = 12 + 5

9x = 17

9x/9 = 17/9

x = 17/9

3 0
3 years ago
Read 2 more answers
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
4 years ago
Identify the location of the point (-3, -2).<br><br> A. P<br> B. Q<br> C. R<br> D. S
docker41 [41]

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

8 0
3 years ago
What is the domain of the function represented by the graph?
OLga [1]

Answer:

I believe its ALL REAL NUMBERS

Step-by-step explanation:

im not sure because they didnt put in a picture of the graph

7 0
3 years ago
Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find t
Kazeer [188]

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

3 0
3 years ago
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