MATHEMATICS HIGH SCHOOL

Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost? A. $28,865.00
B. $28,911.50
C. $27,275.00
D. $28,908.50

Answers

Answer 1
Answer: Given:
cost:                        26,500
option:                          725
total                         27,225
tax  (27,225 * 6%)     1,633.50
total                         28,858.50
license & reg. fee           50.00
total cost               28,908.50  Choice D.
Answer 2
Answer:

Answer:

D. $28908.5

Step-by-step explanation:

We have been given that Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00.

So the cost of car after options costing will be: \$26,500+\$725=\$27,225.

Since there is a 6% sales tax in his state , so the cost of car after sales tax will be $27,225 plus 6% of $27,225.

\text{Cost of the car after sales tax}=\$27,225+((6)/(100)* \$27,225)

\text{Cost of the car after sales tax}=\$27,225+(0.06* \$27,225)

\text{Cost of the car after sales tax}=\$27,225+\$1,633.50

\text{Cost of the car after sales tax}=\$28,858.50

We are also told that there is a combined $50.00 license and registration fee, so the total cost of car will be $28,858.50 plus $50.

\text{Total cost of the car}=\$28,858.50+\$50

\text{Total cost of the car}=\$28908.50

Therefore, the total cost of the car is $28908.50 and option D is the correct choice.

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What is 10,000,000 written as a power of ten?A.107 B. 108 C.10–8 D.10–7

If ABC ~ DEC, solve for x. The image is not drawn to scale.A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 13

Answers

Answer: A.    x = 2

Step-by-step explanation:

In the given picture we have \triangle{ABC}\sim\triangle{DEC}

Since, we know that the corresponding sides in similar triangles are in proportion.

Therefore, we have

(CD)/(AC)=(CE)/(BC)\n\n\Rightarrow(8+x)/(6)=(19-2x)/(11-x)\n\n\Rightarrow\ (11-x)(8+x)=6(19-2x)\n\n\Rightarrow\ 88 + 3x -x^2=114-12x\n\n\Rightarrow x^2-15x+26=0\n\n\Rightarrow\ (x-13)(x-2)=0\n\n\Rightarrow\ x=13,2

But x can not be 13 because BC=11-13=-2, which is not possible.

Therefore, the value of  x=2.
If\ \Delta ABC\sim\Delta DEC\ then:\n\n(19-2x)/(11-x)=(8+x)/(6)\ where\ x\in(-8;\ 11)\ \ \ |cross\ multiply\n\n(11-x)(8+x)=6(19-2x)\n11(8)+11(x)-x(8)-x(x)=6(19)+6(-2x)\n88+11x-8x-x^2=114-12x\n-x^2+3x+88=114-12x\ \ \ |subtract\ 114\ from\ both\ sides\n-x^2+3x-26=-12x\ \ \ \ \ |add\ 12x\ to\ both\ sides\n-x^2+15x-26=0\ \ \ \ |change\ signs\nx^2-15x+26=0\nx^2-2x-13x+26=0\nx(x-2)-13(x-2)=0\n(x-2)(x-13)=0\iff x-2=0\ or\ x-13=0\n\nx=2\in(-8;\ 11)\ or\ x=13\notin(-8;\ 11)\n\nAnswer:\boxed{\boxed{A.\ x=2}}

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?

Answers

Given:
length of the needle: 20 cm
angle 100°

We need to solve for the length of an arc to get the distance the needle has traveled.

Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm

Answer: 100(pi)/9

Step-by-step explanation:

We use the equation (theta/360)(2)(pi)(r)

Theta = 100 (100 degrees of a 360 degree circle)

r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)

Plugging this in: 100/360 (2)(pi)(10)

2,000(pi)/360

Divide by 20 to simplify:(100\pi)/(9)

The surface of Grand Lake is at an elevation of 648 ft. During the current drought, the water level is dropping at a rate of 3 inches per day. If this trend continues write an equation that gives the elevation in feet of the surface of Grand Lake after x days.

Answers

Final answer:

The equation representing the elevation of Grand Lake after x number of days, given a decrease of 3 inches per day, is Elevation = 648 - 0.25x, where 0.25 is the daily loss rate in feet and x represents the number of days.

Explanation:

The subject of this question is the application of linear equations to real-world problems, specifically in the context of environmental changes. Given the initial elevation of Grand Lake and the daily rate of water level decrease, we can write an equation that represents the elevation of the lake's surface after x days.

The initial height of the lake is 648 feet. Every day, the lake elevation drops by 3 inches. However, our rate is given in inches and the initial elevation is in feet. We should convert the rate from inches to feet. Since there are 12 inches in a foot, 3 inches is equal to 3/12 = 0.25 feet.

So after one day, the lake would be at 648 - 0.25 = 647.75 feet. After two days, the lake would then be at 648 - 2(0.25) = 647.50 feet, and so on. In general, after x days, the elevation of the lake would be 648 - x(0.25)

Therefore, the equation we are looking for is: Elevation = 648 - 0.25x

Learn more about Linear Equations here:

brainly.com/question/32634451

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Does the equation x2 - 6x + y2 - 6y = -9 intersect the y-axis? A) Yes, it intersects the y-axis at (0, 3). B) Yes, it intersects the y-axis at (3, 0). C) No, because the circle is entirely in the first quadrant. D) No, because the center is a (3, 3) and the radius is 9.

Answers

Answer:

The answer to your question is letter A

Step-by-step explanation:

Data

             x² -  6x + y² - 6y = -9

Process

1.- Find the center

            x² - 6x + (  )²  + y² - 6y + (  )² = -9

            x² - 6x + (3)² + y² - 6y + (3)² = -9 + 9 + 9

            (x - 3)² + (y - 3)² = 9

Center = (3, 3)

radius = 3

See the graph below

2.- From the previous information and the graph, we conclude that the equation intercepts the y-axis in (0,3)

Answer:

it is a

Step-by-step explanation:

its just a

suppose the monkey is typing using only the 26 letter Keys what is the probability that the monkey will type cat

Answers

Every time the monkey types 3 letters, the probability that they will be C-A-T is
(1/26)-cubed = about 0.0057 % .

Given x = -25, y = 3

x + y + 5 = ?

Answers

Answer:

-17

Step-by-step explanation:

Basically -25+8 which equals -17
-17
Make everything come their regular form
X=-25+y=3+5
-25+8
Since -25 is the biggest number keep the sign and subtract so the answer is -17
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