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3 years ago

1 third plus 1 fourth

Mathematics

3 answers:

Shalnov [3]3 years ago

6 0

7/12 is the correct answer

Hope this helps!

Pepsi [2]3 years ago

5 0

1/3 + 1/4
Find the greatest common factor, which is 12.
New equation is: 4/12+3/12

Final answer is 7/12

answer-genie3 years ago

0 0

1/3+1/4 = 7/12 :)
First you need to find the lcd by seeing what number both of thse numbers have in common and you get 12 and then you do the same thing you do to the top and the total is 7/12.

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You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover a

yKpoI14uk [10]

Exponential growth equation would be

Amount= 80,000 (1+2.75/100) ⁴

At the end of 4 years I would have to repay an amount of $ 89,169.70

Step-by-step explanation:

Since, the amount is loaned it would vary exponentially i.e. in a compounding manner.

We know that for compound interest, the equation is written as-

Amount= principal(1+r/100) ˣ

Where r- rate of interest which is 2.75% annually

And x= time period= 4 years as in the question

Principal= $ 80,000

Therefore, Equation becomes-

Amount= 80,000(1+2.75/100) ⁴

On solving this Amount would equal $ 89,169.70

Hence, at the end of 4 years I would have to repay an amount of $ 89,169.70.

6 0

3 years ago

Help!!!!!!<br> Please and thank you

fenix001 [56]

Answer:

1. A

2. B

3. A

Step-by-step explanation:

Hope this helps!

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3 years ago

What is 5 x 3/4 in fraction form

nata0808 [166]

15/4 would be your answer

7 0

3 years ago

Read 2 more answers

A cardboard box is open at one end and is shaped like a square prism missing one of its square bases. The volume of the prism is

Yuliya22 [10]

Given:
Volume of square prism = 810 cubic inches
Height of square prism = 10 inches

The volume of a square prism has this formula:
v = a²h

a = side length of the square prism
h = height

810 in³ = a² * 10in
810 in³ ÷ 10 in = a²
81 in² = a²
√81 in² = √a²
9 in = a

The length of each side of the base is 9 inches. Only 5 sides of the cardboard box has a cardboard because the 6th side is open.

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3 years ago

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An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

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

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago