The figure below shows a pair of lines crossed by a transversal. All of the angles are labeled with numbers. Using the numbers, give one pair of each of the types of angles listed below.

Walk 5 mph for 2.5 miles : Would take 30 minutes. X

Drive 50mph : Would take 3 hours X

90mph for 180 miles : Would take 2 hours

If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.

How the amount is determined:

Principal amount (P) = Rs. 40000

Rate of interest (R) = 5% per annum

Time period (T) = 4 years

We can calculate the simple interest using the formula:

[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]

Plugging in the values:

[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]

= Rs 8000

Total Income after 4 years = Principal + Interest

Total Income = 40000 + 8000 = Rs 48000

Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned

Tax to Pay = 5% of Rs 8000 = Rs 400

Final Amount Received after Tax = Total Income - Tax to Pay

= 48000 - 400

= Rs 47600

Complete Question:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a.  If he has to pay 5% of interest as income tax, how much will he get after 4 years?

Answer:

I think the answer is 2^8 millimeters longer than the small beetle

Step-by-step explanation:

Answer:

x < the quantity negative 3 times b plus 5 all over negative 2

Step-by-step explanation:

−2x + 3b > 5

Subtract 3b from both side.

-2x +3b -3b > 5-3b

-2x > 5-3b

Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative

-2x/-2 < 5/-2 - 3b/-2

x < (5-3b)/-2

x< (-3b+5)/-2

Re write in words.

x is less than the quantity  negative 3 times b plus 5  all over  negative 2

D. X=0.75

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Answer:

Option D - 0.75

Step-by-step explanation:

Given : Equation [tex]-4^x+1=3x-4[/tex]

To find : Solve the equation for x by graphing ?

Solution :

Let the equation,

[tex]y=-4^x+1[/tex] ......(1)

[tex]y=3x-4[/tex] ......(2)

Plot the two equations by graphing tool.

Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).

Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)

The intersection point of both the equation is (0.739,-1.784).

So, The solution of x value is approximately x=0.75.

Therefore, Option D is correct.

Refer the attached figure below.

Answer:

∠2 = 115.5°

Step-by-step explanation:

128.5° is an exterior angle of the triangle

The exterior angle equals the sum of the 2 opposite interior angles, hence

∠2 + 13 = 128.5 ( subtract 13 from both sides )

∠2 = 115.5°

Answer:

x + 6 >= -4

x can be from -10 or anything greater.

Step-by-step explanation:

-4 - 6 = -10

if you do any number less than -10 it won't work, but anything greater does

Answer:

14905.85

Step-by-step explanation:

P(1+r/n)^nt

10000 (1 + (.05/12))^ (12*8)

Answer:

she will have $14,906 in December of year 2018

Step-by-step explanation:

To find the amount of money she will have in December of the year 2018, we will simply use the formula;

Compound Interest: A = P ( 1 + r/n )^nt

where p = principal

           R = rate

           n = the number of times the interest is compounded per unit time

            T = time

             A= Accrued amount

From the question

Principal (p) = $10,000

Rate (r) = 5% = 0.05

Time(t) = 2018-2010 = 8 years

n = 12

We can now proceed to insert the values into our formula;

Compound Interest: A = P ( 1 + r/n )^nt

                                      = $10 000 ( 1 + 0.05/12) ^12×8

                                         =$10,000(1 + 0.00416667)^96

                                          = $10 000(1.00416667)^96

                                            =$10 000(1.4905859)

                                            =$14,905.895

                                             ≈$14,906 to the nearest whole number.

Therefore she will have $14,906 in December of year 2018

Answer:

8^2 ft^2

Step-by-step explanation:

8^2= 64, and to find area it lengthxwidth.

so 8x8=64

Answer:8^2 ft^2

Step-by-step explanation:

X is greater than negative 20     (-20)

Answer:

C = 4(-5, 2) (-20, 8)

A = 4(-4, 4) (-16, 16)

T = 4(-1, 2) (-4, 8)

I hope this helps

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20 times .3 equals 6

the answer is 6 because (30 ÷ 100) × 20

Answer:

(f+g)(x) = 6x^2 +5x+10

Step-by-step explanation:

f(x)=7x+7 and g(x)= 6x^2-2x+3

find (f+g)(x)

We will add the 2 functions.  I like to line them up vertically.

 f(x)=          7x+7

g(x)= 6x^2-2x+3

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(f+g)(x) = 6x^2 +5x+10

Answer:

25.15 miles per gallon

Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.

Answer:

3 is the greatest number of book shelves Andy can use.

Step-by-step explanation:

You can solve this by finding the greatest common factor of 9 and 6, which turned out to be 3.

6/3 = 2 (reading books per shelf)

9/3 =3 (math books per shelf)

Every shelf there are 2 reading books and 3 math books.

Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

Answer

By similar methods the next 2 items will be 32 and 64.

Note

The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.

This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.

When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:

So, the next three numbers in this pattern would be 16, 32, and 64.

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Answer:$36

Step-by-step explanation:

He has sold 6 and made $18 6x2=12 2x18=36

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]

Put the values of x to the equation of the function h(x):

[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]

check the picture below.

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = [tex]\frac{66}{2}=33[/tex]

Similarly,  y = [tex]\frac{96}{2}=48[/tex]

y = 48° will be the answer.

Answer:

The speed is 50 pounds per hour .

Step-by-step explanation:

As given

Team infinite dimensions gathered 30 pounds of wood in [tex]\frac{3}{5}[/tex] hour.

[tex]Speed = \frac{Total\ pound\ of\ woods}{Total\ time}[/tex]

[tex]Speed = \frac{30}{\frac{3}{5}}[/tex]

[tex]Speed = \frac{30\times 5}{3}[/tex]

[tex]Speed =50\ pound\ per\ hour[/tex]

Therefore the speed is 50 pounds per hour .

Answer:

216 kilometers

Step-by-step explanation:

126/14 = 9  (this means 9 kilometers per 1 liter)

9 x 24 = 216 kilometers

Answer:

You would have to do  

7.50 x 32.5 which would equal

243.75

Please mark brainlist if helped! c:

What we know:

- Suzy earns 7.50$ per hour.

- Suzy worked 32.5 hour's last week.

What we need to find:

- We need to find the amount of money she had on her check.

What we need to do to solve this problem:

To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5

7.50×32.5=243.75

That being said, your answer is: 243.75

I hope this helps! :)

-LizzyIsTheQueen

Answer:

see explanation

Step-by-step explanation:

to find the first, fourth and tenth terms, substitute n = 1, 4, 10 into the rule

A(1) = - 3 + (1 - 1)(- 2.2) = - 3 + (0 × - 2.2) = - 3 + 0 = - 3

A(4) = - 3 + (4 - 1)(- 2.2) = - 3 + (3 × - 2.2) = - 3 - 6.6 = - 9.6

A(10) = - 3 + (10 - 1)(- 2.2) = - 3 + (9 × - 2.2) = - 3 - 19.8 = - 22.8

the required terms are - 3, - 9.6, - 22.8

Answer:

Your answer is B 2/5

Step-by-step explanation:

y2-y1/x2-x1

[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]

Answer:

its A. (1,9) i know because i just did this apex test

Step-by-step explanation:

A differential equation is an equation that contains one or more functions with its derivatives. The value of h'(3) iss 14.

A differential equation is an equation that contains one or more functions with its derivatives.

Given

h(x) = g(f(x))

Let us differentiate with respect to x by using chain rule we get

h'(x) = g'(f(x))f'(x)

plug the value x =3 in the above equation

h'(3) = g'(f(3))f'(3)

The value of f(3)=4, f'(3)=7 by table given

Plugging in values we get

h'(3) = g'(4)×7

We have g'(4)=2

so h'(3) = 2×7

h'(3) = 14

Hence the value of h'(3) is 14.

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