Christina is considering buying a new car with a sticker price of $23,599. Her credit union offers her
a three-year car loan at 5.99% annual percentage rate (APR) with 10% as a down payment What is
her actual present value? (after the down payment has been taken out)

Answer:

(48b 2) 3

Step-by-step explanation:

The answer is  A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.

Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.

Here, we have,

A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).

t³(8 + 9t) - (t² + 4)(2 - 3t)

=   8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)

=   8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t

=   9t⁴ + 11t³ - 2t² + 12t - 8.

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complete question;

T^3(8 + 9t) - (t2 + 4) (2 – 3t)

The simplified expression is a polynomial.

The simplified expression has a constant term.

The simplified expression is cubic.

The simplified expression has four terms.

The simplified expression is a trinomial

The value of the statement the quantity 32 minus 16 multiplied by 9 is

- 112.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given statement is the quantity 32 minus 16 multiplied by 9.

The numerical form of the statement is,

= (32 - 16×9).

First, we'll multiply according to PEMDAS rule.

= (32 - 144).

= - 112.

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The value of the statement the quantity 32 minus 16 multiplied by 9 is

- 112.

We have,

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given statement is the quantity 32 minus 16 multiplied by 9.

The numerical form of the statement is,

= (32 - 16×9).

First, we'll multiply according to PEMDAS rule.

= (32 - 144).

= - 112.

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Answer:

-12

Step-by-step explanation:

a(b - c)

b = 3, c = -3 and a = -2

-2( 3- -3)

-2(3+3)

-2(6)

-12

Answer: -12

Explanation: It's a good idea to get into the habit of

using parenthses when substituting numbers in for variables.

If you have parenthses in your original problem,

change them to brackets as you substitute to avoid confusion.

Since your brackets replace your original parenthses,

your first step will be to simplify what's inside the brackets.

So we have (-2) [(3) - (-3)].

Simplifying inside the brackets, we get 6.

So we have (-2) [(6)].

Multiplying from here, our answer is -12.

Answer:

20000000 large glass marbles

Step-by-step explanation:

Given

[tex]Diameter = 2 * 10^{-2}m[/tex] --- Marble

[tex]Length = 4 * 10^5m[/tex] --- Virginia

Required

Determine the number or marbles that measures the length of Virginia

This is calculated as thus:

[tex]Number = \frac{Length}{Diameter}[/tex]

[tex]Number = \frac{4 * 10^{5}m}{2 * 10^{-2}m}[/tex]

[tex]Number = \frac{4 * 10^{5}}{2 * 10^{-2}}[/tex]

[tex]Number = \frac{2 * 10^{5}}{10^{-2}}[/tex]

Apply Law of Indices

[tex]Number = 2 * 10^{5 - (-2)}[/tex]

[tex]Number = 2 * 10^{5 +2}[/tex]

[tex]Number = 2 * 10^7[/tex]

[tex]Number = 2 * 10000000[/tex]

[tex]Number = 20000000[/tex]

Answer:

0.857

Step-by-step explanation:

Given that :

Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.

However, since the order of arrangement is unknown, but one person out of every 7 gets ;

Probability of getting a popcorn is hence ;

p(getting popcorn) = 1/7

Probability of not getting will then be its complement :

1 - (1/7) = 6/7 = 0.857

Answer:

Because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

Answer:

1 blank. 24

2 blank. 42

3 blank. 56

Step-by-step explanation:

This question is a matter of ratios

The ratio being 7:6

7= # of hamburgers

6= # of hotdogs

To find each answer, you have to set the ratios equal to each other

7/6=28/?

7 times what equals 28

7 times 4 equals 28, so then you multiply 4 by 6 to get you number of hotdogs in that equation

You'll repeat the process for all the other equations as well

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Mean (m) = 72

Standard deviation (sd) = 10

Grading cutoff policy:

bottom 5% receive F

next 15% receive D

next 35% receive C

next 30% receive B

A) Give the cutoffs for the grades in this course in terms of standardized scores.

Standardized score for grade cutoff:

Locating the Zscore for the proportions on the z table :

Bottom 5% = 0.05 ; corresponding Zscore = - 1.645

next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84

next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13

next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04

B) Give the cutoffs in terms of actual total scores.

Recall:

Zscore = (x - m) /sd ; where x = actual score

x = sd*z + m

For F:

10*(-1.645) + 72 = 55.55

For D:

10*(-0.84) + 72 = 63.6

For C:

10*(0.13) + 72 = 73.3

For B:

10*(1.04) + 72 = 82.4

C) Do you think that this method of assigning grades is a good one?

Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.

Answer:

ist cubes man

Step-by-step explanation:

Answer:

(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;

(b) H0: μ ≥ 350; HA: μ < 350

(c) The value of the t-test statistic is -0.263.

(d) At a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.

Step-by-step explanation:

We are given that an analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350.

She examines six popular brands of these small computers and records their retail prices as given below:

$322, $269, $373, $412, $299, $389.

(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;

(b) Let [tex]\mu[/tex] = population mean price of these small computers

So, Null Hypothesis, [tex]H_0[/tex] : μ ≥ 350    {means that the mean price of these small computers is more than or equal to $350}

Alternate Hypothesis, [tex]H_A[/tex] : μ < 350    {means that the mean price of these small computers has fallen below $350}

(c) The test statistics that will be used here is one-sample t-test statistics because we don't know about the population standard deviation;

                          T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean price = [tex]\frac{\sum X}{n}[/tex] = $344

            s = sample standard deviation = [tex]\sqrt{\frac{\sum(X-\bar X)^{2} }{n-1} }[/tex] = $55.89

            n = sample of prices = 6

So, the test statistics = [tex]\frac{344-350}{\frac{55.89}{\sqrt{6} } }[/tex]  ~ [tex]t_5[/tex]

                                 = -0.263

The value of the t-test statistic is -0.263.

(d) Now, at a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.

Since the value of our test statistics is more than the critical value of t as -0.263 > -2.015, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean price of these small computers is more than or equal to $350.

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Technician selects three out of 5 systems  

In C(5,3)=10ways, this can be achieved  

In part a:

Space sample chooses 3 of a 5 systems  

[tex](M_1, \ M_2,\ M_3),[/tex][tex](M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),[/tex][tex](M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}[/tex]

In point b:

A =MODULE WHICH INCLUDE M1 minimal amount of effort  

Outcomes probable =

[tex](M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6[/tex]

[tex]\to p(A)=\frac{6}{10}\\\\[/tex]

            [tex]=0.6[/tex]

In point c:

B = highest effort that is [tex]M_5[/tex]

Potential result=

[tex](M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\[/tex]

[tex]\to B= \frac{6}{10} \\\\[/tex]

        [tex]=0.6[/tex]

[tex]\to P(B)=10[/tex]

In point d:

[tex]\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)[/tex]

[tex]\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \[/tex]

                                      [tex]=0.3[/tex]

In point e:

[tex]\to (A \cup B) = (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9[/tex][tex]\to P(A \cap B)=\frac{9}{10}[/tex]

                    [tex]= 0.9[/tex]

In point f:

[tex]\to (A\cap B) = \frac{3}{10}[/tex]

                 [tex]= 0.3[/tex]

In point g:

[tex]\to (A \cup B) = \frac{7}{10}[/tex]

                 [tex]=0.7[/tex]

In point h:

[tex]\to p(A \cap B) = 0.3 \neq 0[/tex]

Answer:

When a denominator has a higher root, multiplying by the radicand will not remove the root. Instead, to rationalize the denominator we multiply by a number that will yield a new term that can come out of the root. For example, with a cube root multiply by a number that will give a cubic number such as 8, 27, or 64.

Step-by-step explanation:

2nd one I think.........?

Answer:

See Explanations

Step-by-step explanation:

The steps in the question isn't clear enough, however the question is answerable.

From the question, we understand that one model shows that:

200 is 10 times 20

While the second model shows that

200 is 10 times 2

The first model that says

200 = 10 times 20 makes sense.

This is so, because 200 = 20 * 100

While the other model which says

200 = 10 * 2 is nonsense.

This is so because, 200 ≠ 10 * 2

Answer:

2/3

Step-by-step explanation:

there are 12in in a foot so

16/24

simplify

8/12

2/3

Answer:

AAAAAAAAAA

Step-by-step explanation:

Answer:

the answer is 1 & 1/9! hope that helps! :D

Answer:10/9

Step-by-step explanation:

Blank 1 = same slope

Blank 2 = negative reciprocals

Answer:

x=-10s.       s=-x/10

Step-by-step explanation:

Answer: The lowest common multiple between 35 and 55 is 385.

Answer:

Follows are the answer to the given point.

Step-by-step explanation:

In point 1:

[tex]\to P( \text{number of response}) = \frac{192}{338} \\[/tex]

                                        [tex]= \frac{96}{169}\\\\= 0.56[/tex]

In point 2:

[tex]\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}[/tex]

                                                 [tex]= 0.079[/tex]

In point 3:

[tex]\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}[/tex]

                                [tex]= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38[/tex]

In point 4:

[tex]\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})[/tex]

                               [tex]= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28[/tex]

Answer: D

Step-by-step explanation:

The function shown on the graph has the same rate of change but lower starting point

the answer is D!

the function shown on the graph has the same rate of change but a lower starting point.

Answer:

Its not possible

Step-by-step explanation:

a absolute value equation cant equal a negative number

Answer:

The answer is B.50

Step-by-step explanation

Replace x with 50

Answer:

the answer would be 1412

Step-by-step explanation: Take the '4' in 534, add it to the 878 in your head. Thus resulting in 882. Then add the 30 to this number. After adding 30, you should get 912. Then add 500, and your answer is 1412.

Answer:

2x^7

can you also please mark me as brainliest?

Answer:

hard to see a little

Step-by-step explanation:

Answer:

The null hypothesis will not be rejected.

Step-by-step explanation:

The hypothesis for the test is:

H₀: There is no difference between the two population means, i.e. d = 0.

Hₐ: There is a significant difference between the two population means, i.e. d ≠ 0.

Consider the Excel output attached.

The mean of the differences is, [tex]\bar d=-2.75[/tex].

The standard deviation of the differences is, [tex]S_{d}=4.268[/tex].

Compute the test statistic as follows:

[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-2.75}{4.268/\sqrt{8}}=-1.82[/tex]

The degrees of freedom is, n - 1 = 7.

Compute the p-value as follows:

[tex]p-value=2\cdot P(t_{7}<-1.82)=0.112[/tex]

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0.112 > α = 0.02.

The null hypothesis will not be rejected.

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation: