How many solutions are there to the equation below?
4(x - 5) = 3x + 7

A. O
B. Infinitely many
C. 1

Answer:

A. $147.67

B. $26,581.49

C.  Principal: 65.8352%

C.  Interest: 34.1647%

The values:

a) PMT = $147.67.

b) $26580.6

c) Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

Given:

Consider a student loan of $17,500 at a fixed APR of 6% for 15 years.

PV is the loan amount = 17500

PMT is the monthly payment .

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

i = 0.06/12 = 0.005

n is the number of months (term of the loan in months)

n = 180 months.

The monthly payment,

PMT = PV i(1+i)ⁿ/{(1+i)ⁿ-1}

PMT = 17500(0.005)(1.005)⁴⁸/{(1.005)⁴⁸-1}

PMT = $147.67.

The total amount paid over the term of the loan,

= 147.67 x 180 = $26580.6

Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.

Therefore, all the required values are given above.

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Answer:

A Luca è rimasta una mela.

Step-by-step explanation:

Scusa se è una lingua diversa è tradotto in italiano

Answer:

[tex]a = \frac{t}{h}[/tex]

Step-by-step explanation:

t = ah

t/h = a

Answer:

[tex]12942[/tex] is the sum of positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are not multiples of [tex]4[/tex] and not multiples [tex]7[/tex].

Step-by-step explanation:

For an arithmetic series with:

there would be [tex]\displaystyle \left(\frac{a_n - a_1}{d} + 1\right)[/tex] terms, where as the sum would be [tex]\displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n)[/tex].

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) include:

[tex]1,\, 2,\, \dots,\, 199[/tex].

The common difference of this arithmetic series is [tex]1[/tex]. There would be [tex](199 - 1) + 1 = 199[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}[/tex].

Similarly, positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]4[/tex] include:

[tex]4,\, 8,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]4[/tex]. There would be [tex](196 - 4) / 4 + 1 = 49[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}[/tex]

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]7[/tex] include:

[tex]7,\, 14,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]7[/tex]. There would be [tex](196 - 7) / 7 + 1 = 28[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}[/tex]

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]28[/tex] (integers that are both multiples of [tex]4[/tex] and multiples of [tex]7[/tex]) include:

[tex]28,\, 56,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]28[/tex]. There would be [tex](196 - 28) / 28 + 1 = 7[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}[/tex].

The requested sum will be equal to:

That is:

[tex]19900 - 4900 - 2842 + 784 = 12942[/tex].

Answer:

x = 9

Step-by-step explanation:

2x + 3(6)= 36

2x + 18= 36

    - 18    - 18

2x = 18

divide by 2

x= 9

Add n on both sides:

3m = km - 8 + n

Subtract km on both sides:

3m - km = n - 8

Factor the Left-Hand Side:

m(3 - k) = n - 8

Divide both sides by (3 - k):

m = (n - 8) / (3 - k)

Answer:

(8-n)/(k-3) =m

Step-by-step explanation:

3m-n=km-8

Subtract 3m from each side

3m -3m-n=km -3m-8

-n =km -3m-8

Add 8 to each side

8-n =km -3m-8+8

8-n =km -3m

Factor out m

8-n =m(k -3)

Divide by (k-3)

(8-n)/(k-3) =m(k -3)/( k-3)

(8-n)/(k-3) =m

Answer:

D) The square root of a positive number can be a negative or positive value.

Step-by-step explanation:

36 is a perfect square, meaning that the square root of 36 is equivalent to an integer, 6, whereby, the integer 6, when multiplied by itself gives us the perfect square, 36.

i.e. 36 = 6*6 = 6²

√36 = √6² = 6

There are actually two possible square root of 36. That is -6.

Square of, -6², equivalently is -6 * -6 = 36.

Therefore, √36 = ±6.

So, her claim is wrong. 6 is not the only square root of 36.

Square root of 36 could be negative 6 or positive 6.

Answer: it's D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The standard form of the number will be 7.90 x 10¹².

A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

Given that the number is 7.901 x 10¹². The number is already in standard form. The number will be written in normal form as below:-

7.901 x 10¹² = 7901000000000

Therefore, the standard form of the number will be 7.90 x 10¹².

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Answer:

The height of the building is 18.8 feet to the nearest tenth

Step-by-step explanation:

Whenever an elevation problem is given the first step is to try to visualize a triangular path between the objects that are given in the problem.

In this case, we can form a triangular path between the man, the top of the building, and the ground.

The height of the building we are looking for will be the opposite side of the triangle because it is directly facing the angle: 38 degrees.

The distance 24 feet will be the adjacent side of the triangle because it is adjacent to that angle

We can use the Tan trigonometric relationship to find a relationship between the length of the sides of the triangle and the available angles.

[tex]tan 38 = height/24ft[/tex]

[tex]height = 24 \times tan38 = 18.75ft[/tex] approximately 18.8 ft

Answer: 3 children occupied the slides

Answer:

If the segment is horizontal or vertical, you can find the midpoint by dividing the length of the segment by 2 and counting that value from either of the endpoints. Example 1: Given the graph at the right, find the midpoint of and of . AB = 4 units (by counting). The midpoint is 2 units from either endpoints.

Answer:

9(7+9)

Step-by-step explanation:

The greatest common factor in this situation is 9 so you could factor out 9 and get 9(7+9) you can check this answer by multiplying both numbers by the number on the outside of the parenthesis.

hope this helps mark brainliest please

Answer:

The greatest common factor is 9 you could change it to 9(7+9) you can make sure this answer is correct by multiplying both numbers by the number in the parentheses.

Step-by-step explanation:

Answer:

[tex](-13) * (-13) = (-13)^{2}[/tex]

[tex]35 * 35 = 35^{2}[/tex]

Step-by-step explanation:

Given

[tex](-13) * (-13)[/tex]

Required

Express as an exponential notation

[tex](-13) * (-13)[/tex]

Apply the following law of indices

[tex]x^a * x^b = x^{a+b}[/tex]

This gives:

[tex](-13) * (-13) = (-13)^{1+1}[/tex]

[tex](-13) * (-13) = (-13)^{2}[/tex]

The second complete is incomplete; However, I'll assume it is: 35 times 35

[tex]35 * 35[/tex]

Using the same law applied in (1) above:

[tex]35 * 35 = 35^{1+1}[/tex]

[tex]35 * 35 = 35^{2}[/tex]

Answer:

Any value of x

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{x^2 - 1}[/tex]

[tex]g(x) = \sqrt{x^2 + 1}[/tex]

Required

What value of x is  [tex]f(g(x)) = g(f(x))[/tex]

Solving for f(g(x))

[tex]f(x) = \sqrt{x^2 - 1}[/tex]

[tex]f(g(x)) = \sqrt{(\sqrt{x^2 + 1})^2 - 1}[/tex]

Solve the inner square

[tex]f(g(x)) = \sqrt{(x^2 + 1 - 1}[/tex]

[tex]f(g(x)) = \sqrt{x^2 } }[/tex]

[tex]f(g(x)) = x[/tex]

Solving g(f(x))

[tex]g(x) = \sqrt{x^2 + 1}[/tex]

[tex]g(f(x)) = \sqrt{(\sqrt{x^2 - 1})^2 + 1}[/tex]

[tex]g(f(x)) = \sqrt{x^2 - 1 + 1}[/tex]

[tex]g(f(x)) = \sqrt{x^2 }[/tex]

[tex]g(f(x)) = x[/tex]

Equate f(g(x)) and g(f(x))

[tex]f(g(x)) = g(f(x))[/tex]

[tex]x = x[/tex]

This implies that [tex]f(g(x)) = g(f(x))[/tex] at any value of x

Answer:

C, any value of x

Step-by-step explanation:

EDGE

Answer:

Z = -1.333

P-value  = 0.09176

Decision Rule: Reject [tex]H_o[/tex] if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is [tex]\hat p[/tex] = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

[tex]H_o : p \geq 0.50[/tex]

[tex]H_1 : p < 0.50[/tex]

Using the Z test statistics which can be expressed by the formula:

[tex]Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}[/tex]

[tex]Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}[/tex]

[tex]Z = \dfrac{-0.02}{0.015}[/tex]

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value  = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject [tex]H_o[/tex] if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Answer:

140?

Step-by-step explanation:

I think its 140 dollars

Hey there! ☺

[tex]Answer:\boxed{x=10}[/tex]

[tex]Explanation:[/tex]

2/3 = x/15

(2) * (15) = x * (3) Cross Multiply

30 = 3x

3x = 30 Flip up the equation

3x/3 = 30/3

30/3 = 10 Simplify 30/3

x=10

Hope this helps!

Answer:

[tex]14[/tex]

Step-by-step explanation:

[tex]1+b[/tex]

We know that [tex]b=13[/tex] so we put that into our equation.

[tex]1+13[/tex]

Add:

[tex]14[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed { \sf{ 14}}}}}[/tex]

Step-by-step explanation:

Given, b = 13

plug the value of b . Thenafter, add the numbers

[tex] \sf{1 + b }[/tex]

[tex] \dashrightarrow{ \sf{1 + 13}}[/tex]

[tex] \dashrightarrow{ \sf{14}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

Let the unknown number be x;

for Four less than three times a number, it is expressed as (3x-4)

If the number gotten is increased by six times the same number, the equation becomes 3x-4+6x

If they are all equal to 32 then;

3x-4+6x = 32

We are to look for the value of x from the expression;

3x-4+6x = 32

-4+9x = 32

add 4 to both sides

-4+9x+4 = 32+4

+9x = 36

x = 36/9

x = 4

Hence the answer to the unknown number is 4

Answer:

Step-by-step explanation:

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

[tex]\frac{l}{b}= \frac{1}{2}[/tex]

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = [tex]\frac{25}{l}=\frac{25}{2}[/tex]

l = 2 cm

Similarly,

[tex]\frac{50}{w}=\frac{25}{2}[/tex]

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

Answer:

1, 7/14, 14/35, -12/15

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]\sqrt{12} =3.46[/tex] (2 decimal places)

If you want to arrange the tiles into a square, you will need 3.46 in each row/column.

This is physically impossible, hence you round it down to 3.

(If you round it up, you won't have enough tiles since [tex]4*4=16[/tex])

Thus, the square area will be [tex]3*3=9[/tex]

Tiles left: [tex]12-9=3[/tex]

Answer:

-36

Step-by-step explanation:

Step 1: Define

-x² + 2x - 3y²

x = -4

y = -2

Step 2: Substitute and evaluate

-(-4)² + 2(-4) - 3(-2)²

-16 - 8 - 3(4)

-24 - 12

-36

Answer:

V-20

Step-by-step explanation:

(-2) + (-18)= -20

Answer:

Domain { -9,3,5}

Range { 4,5,7}

Step-by-step explanation:

The domain is the input

Domain { -9,3,5}

The range is the output

Range { 4,5,7}

Answer:I’m not smart but the guy above me

Step-by-step explanation:is super smart

Answer:

8

Step-by-step explanation:

10+8-6-4=8

Answer:

Calculate gross pay, before taxes, based on hours worked and rate of pay per hour including overtime. To enter your time card times for a payroll related calculation use this time card calculator. Gross Pay or Salary: Gross pay is the total amount of money you get before taxes or other deductions are subtracted from your salary.