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4 years ago

What is the interest due on $5,000 at 11% for 3 years?

Mathematics

2 answers:

g100num [7]4 years ago

6 0

Amount after 11 years = 5000(1 + 0.11)^3 = $6838.16

so interest is 1638.16 dollars

Maru [420]4 years ago

6 0

Simple interest is:
I=prt
Interest
Portion of money starting with
Rate
Time

You might be interested in

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independen

Sunny_sXe [5.5K]

Answer:

1) $\hat \beta_1 =\frac{466}{234}=1.991$

2) $\hat \beta_o = 18.89 -1.991 (9)=0.970$

3) $SSR= SST-SSE= 1434-505.98=928.02$

4) $r=\frac{466}{\sqrt{[234][\sum(1434]}}=0.804$

And the determination coeffecient is $r^2 = 0.804^2 =0.647$

Step-by-step explanation:

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.

Data given

n=10 $\sum (x-\bar x)(y-\bar y) =466,\sum (x-\bar x)^2 =234 , \sum(y-\bar y)^2 =1434$

Part 1

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:

$\hat \beta_1 =\frac{466}{234}=1.991$

Part 2

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:

$\bar X=90/10 = 9. \bar y= 170/9=18.89$

And replacing we got:

$\hat \beta_o = 18.89 -1.991 (9)=0.970$

Part 3

For this case we have the SSE=505.98 who represent the sum of squares for the error.

The total sum of squares is given by $SST \sum (y-\bar y)^2 = 1434$

And since the total variation is the sum of squares for the regression and the error we have this:

$SST= SSR+SSE$

And solving for SSR we got:

$SSR= SST-SSE= 1434-505.98=928.02$

Part 4

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=10 $\sum (x-\bar x)(y-\bar y) =466,\sum (x-\bar x)^2 =234 , \sum(y-\bar y)^2 =1434$

So we can find the correlation coefficient replacing like this:

$r=\frac{466}{\sqrt{[234][\sum(1434]}}=0.804$

And the determination coeffecient is $r^2 = 0.804^2 =0.647$

4 0

4 years ago

Melons cost $20 pet Crate, and apples cost $8 per create. an order comes in for a total of 48 crates for $420. what was the numb

Alika [10]

Answer:

The number of melon was 3 and the number of apples was 45.

Step-by-step explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where $x$ is the number of melons and $y$ is the number of apples:

$\left \{ {{x+y=48} \atop {20x+8y=420}} \right.$

2. By applying the Method of substitution, you can solve for $y$ in the first equation and substitute it into the second one to find $x$ . Then, you can substitute the value of $x$ into the first equation to find $y$ :

$y=48-x$

$20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3$

$3+y=48\\y=45$

4 0

4 years ago

What value is the independent variable and the dependent variable represents to ?

Shkiper50 [21]

Answer:

Step-by-step explanation:

Independent Variable

The independent variable is the condition that you change in an experiment. It is the variable you control. It is called independent because its value does not depend on and is not affected by the state of any other variable in the experiment. Sometimes you may hear this variable called the "controlled variable" because it is the one that is changed. Do not confuse it with a "control variable," which is a variable that is purposely held constant so that it can't affect the outcome of the experiment.

Dependent Variable

The dependent variable is the condition that you measure in an experiment. You are assessing how it responds to a change in the independent variable, so you can think of it as depending on the independent variable. Sometimes the dependent variable is called the "responding variable."

4 0

3 years ago

When you multiply a pair of conjugates you get a real number

marusya05 [52]

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

4 0

3 years ago

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

lozanna [386]

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.

Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet

Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet

Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet

5 0

3 years ago