Calculate the simple interest and maturity value.
Note: Do not round intermediate calculations. Round your answers to the nearest cent.
S
Principal
19,500
Interest rate
6 1/2 %
Time
20 month
Simple interest
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C
a
2 of 14
Maturity value
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Answer:

C. ∠BEA ≅ ∠BEC

Step-by-step explanation:

on edge 2021

Answer:

c

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

Answer:

1.2

:) yw just use a calculator .

The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.

A quadratic polynomial in a single variable is represented by the equation  \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.

A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

the quadratic equation is

\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)

On multiplying,

⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)

⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)

⇒ \(x^{3} + 2x^{2} - 7x + 4\)

∴ We can say that LHS = RHS.

From given equation, the roots of the equation will be  -

\((x - 1)(x^{2} + 3x - 4)\)

⇒ x - 1 = 0

⇒ x = 1

\(x^{2} + 3x - 4 = 0\)

⇒ \(x^{2} - 4x + x - 4\)

⇒ \(x(x - 4) + 1(x - 4)\)

⇒ (x + 1) (x - 4)

⇒ x = -1, x = 4

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Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

The vaIue of RocheIIe investment in 25 years is $36945.28.

In the fieIds of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financiaI institution to a Iender or depositor in excess of the principaI amount. It differs from a fee the borrower might pay the Iender or another party.

Given that, RocheIIe deposits $5,000 in an IRA.

The time of investment is 25 years. The rate of interest is 8% = 8/100 = 0.08.

The formuIa of compounded continuousIy is

\(FV = Pe^{(rt)\)

Where,

FV = future vaIue

P = PrincipaI

r = rate of interest

t = time period

Putting P = 5000, r = 0.08, t = 25 in \(FV = Pe^{(rt):\)

\(FV = 5000\times e^{(0.08\times25)\)

FV = 36945.2804

FV  ≈ 36945.28

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Answer:

30

Step-by-step explanation:

Do the steps in reverse

-90 divided by -5 = 18

18 + 12 = 30

Your answer is 30

Hope I helped :)

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Answer:

12 male teachers

Step-by-step explanation:

If the ratio is 3:4, and the number of female teachers is 16, then the number of male teachers must be 12. This can be confirmed by multiplying both 3 and 4 by 4, or 12/16 = 3/4.

Answer:

12 male teachers.

Step-by-step explanation:

if there is 16 females and the ratio is 3:4 it would be 12 due to 4 times 4 being 16. Meaning that i would do 3 times 4 which would result in having 12 male teachers.

Answer:

35

Step-by-step explanation:

Answer:

8232

Step-by-step explanation:

Answer:

(0, 2)

Step-by-step explanation:

Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Answer:

0.00108

Step-by-step explanation:

you first find the probaility of draw all three cards, then you multiply them

(4/52)*(12/51)*(3/50) = 0.00108

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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9514 1404 393

Answer:

  f(4) -g(4) = 2

Step-by-step explanation:

Fill in the given values for x and do the arithmetic.

  f(4) = 9·4 -2 = 34

  g(4) = 2·4^2 = 32

Then ...

  f(4) -g(4) = 34 -32

  f(4) -g(4) = 2

\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)

The shaded region represents 1.5 grids

\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Answer:20

Step-by-step explanation:

In the parallelogram ABCD it is proved that AC ≅ BD, which proves that AC = BD.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that the parallelogram is ABCD.

In this parallelogram AX ≅ DX, XB ≅ XC.

Now, according to the properties of parallelogram the segment addition can be done.

AC = AX + XC

Similarly, the segment addition for line BD is -

BD = DX + BX

Now if AX ≅ DX and XB ≅ XC, then substitution of  DX and XC can be done -

AC = AX + BX

BD = AX + BX

This proves that AC = BD by the transitive or substitution method.

Therefore, it is proved that AC = BD and also that AC ≅ BD.

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The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

Step-by-step explanation:

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Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

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well, from the end of year 5 to the end of year 6 is only 1 year later, so

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3315.30\\ P=\textit{original amount deposited}\dotfill & \$3203.19\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 3315.30=3203.19[1+(\frac{r}{100})(1)] \implies \cfrac{3315.30}{3203.19}=1+\cfrac{r}{100} \\\\\\ \cfrac{3315.30}{3203.19}-1=\cfrac{r}{100}\implies 100\left( \cfrac{3315.30}{3203.19}-1 \right)=r\implies \stackrel{\%}{3.5}\approx r\)

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

It is possible because its on an odd number and it's just the middle number: 32

The overall change in the stock's value is \(1\frac{13}{24}\).

A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.

An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.

The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning

The overall change in the stock value :

\(1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}\)

\(1\frac{18 - 8 + 3}{24}\) = \(1\frac{13}{24}\)

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Answer:

To find the width of the clubhouse on the plans, we need to use the given scale of 1 inch on the plans being equivalent to 8 inches on the actual clubhouse. Let's assume that "x" inches on the plan correspond to the actual width of 126 inches of the clubhouse.

Using the proportionality of the scale, we can set up the following equation:

1 inch / 8 inches = x inches / 126 inches

Simplifying the equation, we can cross-multiply to get:

8 inches * x inches = 1 inch * 126 inches

8x = 126

x = 15.75

Therefore, the width of the clubhouse on the plans is 15.75 inches.

Answer:

60

Step-by-step explana

3:5=0,6  

0,6x10=60

Step-by-step explanation:

B

O

D

M

A

S

division first

3/5

multiplication second

3/5×100

=60

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