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ra1l [238]
3 years ago
5

Least common multiples of 8 and 12

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0
Least common multiples of 8 and 12 is 24 bc 8 and 12 can evenly be divided into 24
AVprozaik [17]3 years ago
8 0
Multiples of 8: 8, 16, 24
Multiples of 12: 12, 24
Therefore 24 is the LCM of 8 and 12
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A person places $37700 in an investment account earning an annual rate of 5%,
lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

4 0
3 years ago
The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
Makovka662 [10]

Answer:

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

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

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.

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

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

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0
3 years ago
HELPPP PLEASEEE!!!???
muminat

Answer:

A

Step-by-step explanation:

I got it lol

6 0
3 years ago
What are the next three numbers 14,34,54,74,94....
Helen [10]

Each term is (the previous term increased by 20).

The next 3 terms are  <em>114,  134,  154 .</em>


7 0
3 years ago
Read 2 more answers
Taylor has a credit card with an interest rate of 24.5% compounded monthly that she must pay off in seven years. If her balance
Lyrx [107]
For the answer to the question above, I'll provide a computation to the problem given and it will look like this.
<span>
M = 2345 × (0.0204166667 (1 + 0.0204166667)^(12×7)) / ((1 + 0.0204166667)^(12×7) - 1)

So the answer is 
M= </span><span>$58.61

I hope my answer helped you with your problem. Have a nice day!
</span>
8 0
4 years ago
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