Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18

The transformation of f (x) exists g (x) = f (x) - 4.

A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. By solving at a certain input value, a function is assessed. When the beginning value and growth rate are known, an exponential model can be discovered.

We observed that:

f (0) = 2

For the function g (x) we have:

g (0) = -2

Therefore,

g (x) = f (x) - 4

Looking for intersection with axis and we have:

g (0) = f (0) - 4

g (0) = 2 - 4

g (0) = -2 (correct demonstration)

The transformation of f (x) is: A. g (x) = f (x) - 4

Therefore, the correct answer is option A. g (x) = f (x) - 4.

The complete question is;

Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.

Which of the rules given below shows the transformation of f?

A. g(x) = f(x) - 4

B. g(x) = f(x - 4)

C. g(x) = f(x) + 4

D. g(x) = f(x + 4)

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The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Answer:

Surface Area is 78 un.

Volume is 40 un³.

Step-by-step explanation:

A = 2(wl + hl + hw)

2 · (4 · 5 + 2 · 5 + 2 · 4)

2 · 38

76

V = whl

4 · 2 · 5

40 un³

9514 1404 393

Answer:

  (b)  6

Step-by-step explanation:

Eliminating parentheses gives ...

  4x -8 = 16

Dividing by 4, we have ...

  x -2 = 4

  x = 6 . . . . . . add 2

Answer:

15

Step-by-step explanation:

Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5,  20-5=15 so the answer is 15

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Answer:

Step-by-step explanation:

Only one answer will do for this question and that is 1.

y/x = 5/5  =   1

y/x = 6/6  =  1

y/x = 1/1 = 1

The one you have to be careful with is when x = 0 y = 0. You can't solve this by using y/x  because 0/0 is undefined at this point.

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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Answer:

4.6

Step-by-step explanation:

Answer:

0.48 is the correct answer

Therefore , the solution of the given problem of equation comes out to be  x = 38.

Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.

Here,

Given : m m/MTU = 38°, and m/STU = 2x + 88.

thus,

x + 50 = 2x + 88

To find the value of x:

We do,

=> x + 50 = 2x +88

=> x -2x  = 88 -50

=> -x = -38

=> x = 38

Therefore , the solution of the given problem of equation comes out to be x = 38.

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Answer:

417

Step-by-step explanation:

bc i said so

1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.

2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.

3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.

4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.

5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.

6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.

It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.

On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.

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Answer:

Square pyramid

Step-by-step explanation:

Hope this helps

Tony purchased 12 books and 6 magazines for a total of $240.

An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.

He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.

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Answer:

a) m = 3   b = 1/5

b) y = 1/2x - 3

Step-by-step explanation:

y=mx+b

Answer:

85 degrees

Step-by-step explanation:

180=x+4x-20

180=5x-20

200=5x

x=40

C=2(40)+5

C=80+5

C=85

The representation of the set builder notations are:

From the question, we have the following parameters that can be used in our computation:

The set builder notations

Solving: set builder notation 1

This is given as

{y | 22.3 < y ≤ 77.5}

The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5

Solving: set builder notation 2

This is given as

{w | w ∈ Z}

The notation Z means integers

This means that the set w is the set of all integers

Solving: set builder notation 3

This is given as

{x | x > -1}

The greater than (>) operator means that the smallest value of y is greater than -1

Solving: set builder notation 4

This is given as

{t | t ∈ Q}

The notation Q means rational numbers

This means that the set t is the set of all rational numbers

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Answer:

(2 2) is answer of this question

Answer:

(2,2) is the solution to both lines A and B

Step-by-step explanation:

this is because they both intersect at point (2,2)

Answer:

35%

Step-by-step explanation:

35% percent of the cupcakes were mocha

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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APY = 4%

The distance of the ship from lighthouse found using sine law at both locations are 14.12 miles and 4.8 miles.

What is sine law?

The sine law asserts that the ratio of a triangle's side length to the sine of its opposing angle, which is constant for all three sides.

From the given figure we can find θ = 30 - 10 = 20°

According to sine law, we can write the following equation,

[tex]\frac{9.6}{sin \theta} = \frac{x}{sin \angle ABL} = \frac{y}{sin \angle LAB} \\[/tex]

From the figure, we get that ∠LAB= 10° (alternate angles)

∠LBC = 30°

∠ABL = 180 - 30 = 150°

θ = 20°

Substituting above values in the equation we get ,

[tex]\frac{9.6}{sin 20} = \frac{x}{sin 150} = \frac{y}{sin 10} \\\\\frac{9.6}{0.34} = \frac{x}{0.5} = \frac{y}{0.17}[/tex]

Solving the above we get,

x = 14.12

y = 4.8

Therefore the ship began 14.12 miles from the lighthouse and after travelling 9.6 miles south it is at 4.8 miles from the lighthouse.

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Answer:

A = 1/4

Step-by-step explanation:

Answer:

A = 1/4 is the correct answer

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

x = -( -2/2(-1) )

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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Answer:

The letters:

A.

B.

E.

Step-by-step explanation:

why?

A = it is a polygon

B = it's a solid figure

E = it's a prism (pentagonal prism)

HOPE IT HELPS

(FROM CROSS)

Answer:

C you all welcome:)

Step-by-step explanation:

A was wrong sorry to tell you

Answer:

Hello, their has been a update to brainly. we no longer accept images, **** off

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

9/6 = 1.5

1200 x 1.5 = 1800 (t-shirts a work day)

12 600/1800 = 7

7 work days

Answer:

Rolling a 6 would be 1 in 6

And rolling a four or less would be 4 in 6

Step-by-step explanation:

S= {1,2,3,4,5,6}

|S|=6

E=rolling a 6 orless than 4

➜{1,2,3,6}

|E|=4

P(E)=|E| /|S|

➜4/6

➜2/3