Given the lease terms below from a local car dealership, what is the total cash due at
signing if the dealership requires down payment, security deposit, first month's
payment and the acquisition fee at signing?
Length of lease = 24 months
MSRP of the car = $22, 750
Purchase value of the car after lease = $16, 900
Down payment = $1,800
Monthly payment = $425
Security deposit = $375
Acquisition fee = $300

The correct is option B. y = [x] + 3; for the given graph of the greatest integer function.

Let g(x) be the given graph's function.

The parent function for which is,

f(x) = [x]

In which case, f(x) = 0 in the range [0, 1].

However, according to the graph,

g(x) = 3 in the interval [0,1].

F(x) is moved vertically upward.

→ g(x) = f(x) + 3

→ g(x) = [x] + 3

Thus, the graph for greatest integer function if for equation: y =  [x] + 3.

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The Area of the figure ≈ 19 units²

Area of a semicircle = 1/2(πr²), where r is the radius.

Area of a triangle = 1/2(b)(h), where b is the base and h is the height of the triangle.

The figure can be decomposed into a semicircle and a triangle.

Area of the figure = 1/2(πr²) + 1/2(b)(h)

r = 1/2(7) = 3.5 units

π = 3.14

b = 7 units

h = 3 units

Substitute

Area of the figure = 1/2(3.14)(3.5²) + 1/2(7)(3)

Area of the figure ≈ 19 units²

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Answer:

2 of the sides are 15 inches and the other 2 sides are 68 inches

Step-by-step explanation:

2(8+4L)+2L=166

16+8L+2L=166

16+10L=166

10L=150

L=15

15(4)+8=68

Answer:

7

Step-by-step explanation: they want you to get 9 in order to get 9 the answer will 7 and it will subtract 16 which will equal 9 so the answer it 7.

trust ur guts

Answer:

6

Step-by-step explanation:

Due to the segment addition postulate, XY + YZ = XZ.

By substituting the values in, we get that [tex](3k-2)+(7k+4)=4k+38[/tex]

Simplifying gives us that [tex]10k+2=4k+38[/tex]

[tex]6k=36[/tex]

[tex]k=6[/tex]

Answer:

x = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+7=1

Step 1: Subtract 7 from both sides.

2x+7−7=1−7

2x=−6

Step 2: Divide both sides by 2.

2x/2 = −6/2

x=−3

Based on the triangle similarity theorem, the length of AK is: A. 9.

Based on the triangle similarity theorem, the ratios of the corresponding side lengths of two triangles that are similar to each other are equal and their lengths are proportional to each other.

Given that triangle FIM and triangle LAK are similar triangles, therefore, the ratio is true:

FM/LK = IM/AK

Length of FM = 8 units

Length of LK = 12 units

Length of IM = 6 units

Length of AK = ?

Substitute

8/12 = 6/AK

8(AK) = (6)(12)

8(AK) = 72

Divide both sides by 8

8(AK)/8 = 72/8

AK = 9

AK = LA = 9

LA = 9 units

Therefore, based on the triangle similarity theorem, the length of AK is: A. 9.

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The lower bound of S is 26.412 .

It is given that D = 8.5 and T = 0.32 and a relation between S and D which is given by [tex]S=\frac{D}{T}[/tex]  . Putting value of D and T we get

                 [tex]S=\frac{8.5}{0.32} \\\\S=26.562[/tex]

The place value of the degree of accuracy is 0.3.

Divide this place value by 2 , we get

   [tex]\frac{0.3}{2} =0.15[/tex]

To find the lower bound , we will subtract this amount from the given  value , we get

   [tex]26.562-0.15=26.412[/tex]

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The complete question mention below :

S=D/T

In an experiment D and T are both measured correct to 2 significant figures.

When D= 8.5 and T=0.32, find the lower bound for S.​Write the result to 3 decimal places.

Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?

The selling price of the car is [tex]\[/tex]20400.

Given that,

Willa receives a commission of $1,020 for selling a car.

If the commission is 5% of the selling price.

What is the selling price of the car?

Let us take selling price of the car= x

We can write selling price of the car as

$1,020 =5%x

1020=[tex]\frac{x}{20}[/tex]

[tex]x=1020\times20[/tex]

[tex]x=20400[/tex].

Therefore, The selling price of the car is [tex]\[/tex]20400.

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According to the GEMDAS rule the value of the 26-6+ (0+3)*26-6 ÷26- I:

= [tex]96\frac{10}{13}[/tex]

The GEMDAS rule can be used to summarize or evaluate difficult numerical equations containing several binary operations. Important Information: 1. In a specific simplification, if you have simultaneous multiplication and division, perform the operations sequentially from left to right.

If you mess up the order of parenthesis, exponents, multiplications, including addition and subtraction, the PEMDAS rule prevents you from getting the wrong result.

Applying the GEMDAS rule:

26-6+ (0+3)*26-6 ÷26- I

= 26-6+ (0+3)*26-6 ÷26- I

= 26-6+ 78 -6÷ 26-1

= 26-6+78- [tex]\frac{6}{26}[/tex] -1

= 1258/13

= [tex]96\frac{10}{13}[/tex]

According to the GEMDAS rule the value of the 26-6+ (0+3)*26-6 ÷26- I:

= [tex]96\frac{10}{13}[/tex]

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Answer:

480

Step-by-step explanation:

first convert 60% into a decimal which is 0.6, then 800 x 0.6 which you would get 480.

The balance of current assets of the firm is 54 million dollars.

The total of all current assets is the current asset balance. These include cash, cash equivalents, pre-paid expenses, inventories, and any other assets that are anticipated to be turned into cash throughout the course of the following year.

Any debts owed by your business to others, including bank loans, mortgages, unpaid bills, IOUs, and other sums of money, are referred to as liabilities.

We know that to calculate the balance of current assets we use the formula.

Current assets=working capital +current liabilities

Working capital=net income÷(profit margin × sales to working capital)

Now given the working capital=$20 million

Profit margin=5%

Working capital=20÷(8×5%)

or, working capital = 50

Now current assets=Working capital+liabilities

Hence balance of current assets= 50+4 million dollars

=54 million dollars

Therefore the firm's balance of current assets is 54 million dollars.

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Answer:

1. exponential

2. quadratic

Step-by-step explanation:

2. because the variable has the power two and such functions are regarded as quadratic functions

Answer:

177.464x−1

Step-by-step explanation:

How many times larger is (1.064x⋅101)+(7x⋅10−1)

Remove parentheses.

1.064x⋅101+7x⋅10−1

Simplify each term.

Multiply 101 by 1.064.

107.464x+7x⋅10−1

Multiply 10 by 7.

107.464x+70x−1

Add 107.464x and 70x.

177.464x−1

The difference in scores between Player A and Player B will be 17.

From the information, Player A finished first in a tournament at a golf club with a score of 8, or eight strokes under par. Player B, had a score of +9, or 9 strokes over par.

Therefore, the difference in scores between Player A and Player B will be:

= 9 - (-8)

= 9 + 8

= 17

Therefore, the difference in scores between Player A and Player B will be 17.

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The inequality that can be used to find the number of weeks after which it would be cheaper to buy the console than to rent it is B.78 + 8.95z, < 24.99z

From the information, Nina can buy a video game console for $78, and rent a game for $8.95 per week or she can rent a console and game for $24.99 per week.

The appropriate inequality will be:

= 78 + (8.95 × z) < 24.99 × z

= 78 + 8.95z, < 24.99z

Therefore, the correct option is B.

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The size of the actual book is 9 inches. The actual book is 18 inches long and is blank inside.

The inch is used as a unit of length in both the British imperial and American customary measurement systems. It is the same as one-twelfth of a foot or one-third of a yard.

The characteristics of an object or event are measured and quantified so that they can be contrasted with those of similar objects or occurrences. Therefore, measurement is the process of determining the size or smallness of a physical quantity in relation to a primary reference quantity of a similar kind.

based on the available facts;

we use formula, wide/tall

wide=1.5inches

tall = 3inches

wide/tall=1.5/3=9/x

(equal ratio)

1.5x=9*3

x=27/1.5

x=18

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Answer: 7

Step-by-step explanation: ‘Sup guys, My name is Quandale Dingle. I am breaking out of prison on may 14, 2023. I am currently imprisoned in southern Saudi Arabia for various felonies.

Answer:

Step-by-step explanation:

The number of plans that cost between 41.46 and 63.42 is 504 to the nearest whole number

We have the following data to solve this problem with

n = 738 home owners

standard deviation sd = 10.98

The number of plans is between 41.46 and 63.42

Such that we will have

p(41.46 < x< 63.42)

Then we would have

P(41.46 - 52.44 / 10.98) < z< (63.42 - 52.44 / 10.98)

= P (-1 < z < 1)

We have p(z < 1) = 0.8413

therefore p(z > 1) = 1 - 0.8413

= 0.1587

0.8413 - 0.1587 = 0.6826

This is the same as 68.26%

68.26% x 738 = 503.76

~ 504

Therefore we would have the conclusion that the number of plans that cost between 41.46 and 63.42 is 504 to the nearest whole number.

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Using proportions, it is found that the dedicated link would take 5.72 hours, which is significantly less time than the USPS delivery, hence the link should be used.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each TB has 1000 GB, hence:

20.6 terabytes = 20,600 Gigabytes.

You have available a 1 Gbps dedicated link for data transfer, hence the time it would take for the transfer through the dedicated link is:

20,600/1 = 20,600 seconds.

Each hour has 3600 seconds, hence the time in hours is:

20600/3600 = 5.72 hours.

The dedicated link would take 5.72 hours, which is significantly less time than the USPS delivery, hence the link should be used.

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Using Venn sets, it is found that 30 athletes own none of the items.

The missing information is the question, which asks how many athletes own none of the items.

For this problem, we consider the following sets:

10 owned all three items, hence:

(A ∩ B ∩ C) = 10.

57 owned a convertible and a TV, hence:

(A ∩ B) + (A ∩ B ∩ C) = 57.

(A ∩ B) = 47.

50 owned a TV and a store, hence:

(B ∩ C) + (A ∩ B ∩ C) = 50

(B ∩ C) = 40.

29 owned a convertible and a store, hence:

(A ∩ C) + (A ∩ B ∩ C) = 29.

(A ∩ C) = 19.

136 owned a sporting goods store, hence:

C + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 136

C + 19 + 40 + 10 = 136

C = 67.

117 of them owned a giant screen TV, hence:

B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 117

B + 47 + 40 + 10 = 117

B = 20.

135 of them owned a convertible, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 135

A + 47 + 19 + 10 = 135

A = 59.

There were 292 athletes on the survey, hence the number who owned none is given as follows:

None + A + B + C + (A ∩ B) + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 292

None + 59 + 20 + 67 + 47 + 19 + 40 + 10 = 292

None + 262 = 292

None = 30.

30 athletes own none of the items.

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The simplified form of the given expression is [tex]10y^{2}+7y^{3}+12y^{4}[/tex].

The given expression is [tex]y^{3}+11y^{4}+10y^{2}+y^{4}+6y^{3}[/tex].

We need to simplify the given expression.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

To simplify any algebraic expression, the following are the basic rules and steps:

Now, [tex]y^{3}+11y^{4}+10y^{2}+y^{4}+6y^{3}[/tex]

= [tex]10y^{2}+7y^{3}+12y^{4}[/tex]

Therefore, the simplified form of the given expression is [tex]10y^{2}+7y^{3}+12y^{4}[/tex].

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Answer:

D. -9.7

Step-by-step explanation:

the square root of 40 is 6.32

-16 + 6.32 = -9.68

-9.68 rounded the nearest tenth is -9.7

The equation that represents the cost of jake's cell phone bill is -

y = 2x + 40 . Option - B is the correct alternative.

We have a graph representing jake's cell phone bill.

We have to write a equation that represents the cost of jake's cell phone bill.

The general equation of a straight line is given by -

y = mx + c

where -

m → slope of line.

c → y - intercept of line.

According to the question -

The y - intercept of the line is at the coordinates (0, 40). Now, we have to find the slope of this line. Consider the two coordinates -

A(0, 40) and B(10, 60)

Slope of a straight line is given by -

m = y₂ -y₁ / x₂ - x₁

m = 60 - 40 / 10 - 0

m = 20 / 10

m = 2

Now, substituting the values in the general equation of line, we get -

y = 2x + 40

Hence, Option B → y = 2x + 40 is the correct alternative.

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The monthly payment when Jack takes the loan will be B. $319.44

From the information, the interest will be:

= Principal × Rate × Time / 100

= ($10000 × 5 × 3)/100

= $1500

The total amount to be repaid will be:

= $10000 + $1500

= $11500

Therefore, the monthly payment will be:

= $11500 / 36

= $319.44

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