Jack takes out a student loan for $6,000 at a simple interest rate of 11.3% per year. How much total
interest will Jack owe at the end of 6 years? Assume he does not make any payments during that time?

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].

Geometrically speaking, a translation is determined by following formula:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:

[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]

[tex]V'(x,y) = (0, 1)[/tex]

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]

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Answer:

Facts.

Step-by-step explanation:

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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Answer:

40 tablespoons of vinegar

Step-by-step explanation:

the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be

2-5

16-x

16-5^8

16-40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

5 tablespoons = 2 color tablets.

40 tablespoons = 16 color tablets

The number of tablespoons of vinegar required is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

She needs 5 tablespoons of vinegar for every 2 color tablets she uses.

This means,

5 tablespoons = 2 color tablets.

Multiply 8 on both sides.

8 x 5 tablespoons = 8 x 2 color tablets.

40 tablespoons = 16 color tablets

Thus,

The number of tablespoons of vinegar required is 40.

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Answer: 275

Step-by-step explanation:

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval is simply the slope over the interval because:

[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]

We have to know f(6) and f(-4)

[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5

Answer: 1.19047619048 as a fraction equals 119047619048/100000000000

Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000

Answer:

119047619048/100000000000

Step-by-step explanation:

To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Answer:

14 gallons

Step-by-step explanation:

Answer:

14 gallons

Step-by-step explanation:

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

answer :

x = 10, x = 124

Answer:

a=10

Step-by-step explanation:

distribute on both sides to get

5a-10=20+2a

add/subtract like terms

5a-2a=3a

20+10=30

so the equation is

3a=30

divide 30 by 3 and you get 10

Answer:

a = 10

Step-by-step explanation:

[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]

Answer:

4 × 3 - 2 × 5 = 12 - 10 = 2

2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93

Answer:

60

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%