If Ethan’s monthly expenses are $1160 and his debt to income ratio is 0. 8, what is his monthly salary?

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

33 batteries

Step-by-step explanation:

14/3 = 4.666 which you round to 5

14 +14 =28

28 +5 =33

Answer:

35

Step-by-step explanation:

Step-by-step explanation:

\( \frac{1}{x} - \frac{1}{x - 2} = 3\)

× All by x(x-2) both sides of equation

(x-2)-x = 3x(x-2)

x-2-x = 3x² - 6x

-2 = 3x² - 6x

0 = 3x² - 6x +2

3x² - 6x + 2 = 0

and use the formula

\(x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \)

Answer:

he could have five 20 bills at most

Answer:

5

Step-by-step explanation:

You subtract 14 one dollar bills from the unnamed 19 bills to get 5 remaining bills and $100 left in the wallet.

100÷5 = 20

The five remaining bills are the 20 dollar bills

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The interest when the classmate is calculating the amount in a savings account after 10 years is $2600.

From the information, the classmate is calculating the amount in a savings account after 10 years and the deposit is $13,000 and the annual simple interest rate is 2%.

It should be noted that interest is calculated as:

= (Principal × Rate × Time) / 100

= ($13000 × 2 × 10) / 100

= $2600

The simple interest is $2600.

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Answer:

B

Step-by-step explanation:

240 miles divided by 4 hours is 60mph

Answer:

B

Step-by-step explanation:

The formula for calculating the average speed=

distance covered/time taken

In the question the:

distance covered=240miles

time taken =4hours

240/4

60/1

60mph

To determine the maximum amount Jaxson can borrow for a 20-year mortgage with a monthly payment of $1,125 and an annual interest rate of 4.8% (compounded monthly)

We can use the formula for the present value of an annuity:

P = M * (1 - (1 + r)^(-n)) / r

Where:

P = Amount borrowed (to be determined)

M = Monthly payment = $1,125

r = Monthly interest rate = Annual interest rate / 12 = 4.8% / 12 = 0.004

n = Total number of payments = 20 years * 12 months/year = 240

Substituting the given values into the formula:

P = $1,125 * (1 - (1 + 0.004)^(-240)) / 0.004

Calculating the expression inside the parentheses:

(1 + 0.004)^(-240) ≈ 0.354296

Substituting this value into the formula:

P = $1,125 * (1 - 0.354296) / 0.004

P ≈ $1,125 * 0.645704 / 0.004

P ≈ $177,824.75

Therefore, to the nearest dollar, the maximum amount Jaxson can borrow is $177,825.

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Answer:

20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is "0.4125"

Step-by-step explanation:

\(\to 7.4 -4.1= 3.3 (0.125)= 0.4125\)

The constant of proportionality that relates the number of cookies made to the number of cups of flour used would be 8.

Given that;

A recipe says to use 9 cups of flour to make 72 cookies.

Now the constant of proportionality that relates the number of cookies made to the number of cups of flour used is,

72 ÷ 9

= 72/9

= 8

Therefore, the constant of proportionality is 8.

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The type of the function y = -2x + 3 is a linear function.

Function in math is known as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we have given that the function y = -2x +3 and here we need to identify the type of the function.

As we all know that the type of function called linear function is defined as a function that has either one or two variables without exponents.

While we consider the definition we have identified that the given function is is the linear function because in the given function there is no exponents in it so it can fall under the category of the function called exponents.

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Answer:

  (4.5, 6)

Step-by-step explanation:

The midpoint is the average of the end points:

  ((8, 2) +(1, 10))/2 = (8+1, 2+10)/2 = (9, 12)/2 = (4.5, 6)

The midpoint is (4.5, 6).

Answer:

ANgle CAO measure \(21^o\)

Step-by-step explanation:

The important procedure here is to work with the three "isosceles" triangles that are formed inside the circle all of them having a common vertex at the center of the circle (point O). Notice that all these three triangles must have two sides equal (therefore be isosceles triangles) because two sides measure exactly the radius of the circle. Have in mind then that these equal sides must oppose equal angles.

1) Triangle COB has two angles which measure \(32^o\), due to the fact that they oppose the sides equal to the radius. Then, the third angle of the triangle (the one at the center O must measure:

\(180^o-32^o-32^o=116^o\)

2) For triangle AOB, we can find the value at the acute angle \(\angle \,A\) (with vertex at point  A), considering that it can be obtained by subtracting \(53^o\) from \(90^o\), since the radius of the circle is always perpendicular to the tangent line at the point where the radius meets the tangent. Then this acute angle must measure:

\(90^o-32^o=37^o\)

Now, the other angle opposite to the radius must also measure \(37^o\), so we can find the measure of the larger angle in the triangle (that with vertex at point O) by subtracting these two small angles from \(180^o\):

\(180^o=37^o-37^o=106^o\)

3) Finally we get to study the third triangle (COA):

We now know the value of the central angle (that with vertex at point O), since it should be equal to the full circle \((360^o)\)  minus the other two central angles we calculated above:

\(360^o-116^o-106^o=138^o\)

so, now we can determine the measure of the addition of the other two small (and equal) angles of the triangle:

\(180^o-138^o=42^o\)

Therefore, each of the angles should measure half of this value. that is each of the small acute angles measures \(21^o\)

This is therefore the measure of the requested angle CAO.

Answer:

post the diagram

Step-by-step explanation:

Answer:

x = 26; l = 137; m = 137

Step-by-step explanation:

If the lines are parallel, that means the measurements are too. As such, equal the two expressions together

5x + 7 = 8x - 71

add 71 to both sides

5x + 7 + 71 = 8x - 71 + 71

-71 and +71 cancel each other out

5x + 78 = 8x

subtract 5x from both sides

5x - 5x + 78 = 8x - 5x

5x - 5x cancels each other out

78 = 3x

divide both sides by 3

3x ÷ 3 = 1x which can also be written as just x

78 ÷ 3 = x

26 = x

plug in this x value into both expressions to find variables l and m

l:

5(26) + 7

130 + 7

137

m:

8(26) - 71

208 - 71

137

Explanations:

The given equation is:

This can be re-written as:

Collect like terms:

Cross multiply:

To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.

Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct

Step-by-step explanation:

h so the teacher get all her answers from quizlet

Answer:

There is no answer to that equation.

Step-by-step explanation:

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

1. Angle

2. Ray

3. Line segment

4. Point

5. Collinear points

6. Coplanar points

7. Intersection

Answer:

a = 8

b = 5

Step-by-step explanation:

The total number of different telephone numbers are possible in city  is 6561.

A term permutation relates to a mathematical process that determines the number of possible arrangements of a given set.

Now, according to the question;

Because the first three digits are fixed, we must select the next four digits.

A total number of available telephone numbers is increased by selecting one of nine numbers for the fourth digit;

nine numbers for the fifth digit;

nine numbers for the sixth digit;

and nine numbers for the seventh digit.

Thus,

= 9×9×9×9

= 6561

Therefore, the total number of ways in which telephone numbers are possible in city are 6561.

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Answer:

TRUE!!!!!!!!!!!!!!!!!! BRANLIST

Step-by-step explanation:

Answer:

\(a_{n}\) = 5n

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5

This indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 5 , then

\(a_{n}\) = 5 + 5(n - 1) = 5 + 5n - 5 = 5n

Answer:

D; 85 leaves

Step-by-step explanation:

From what we can see, each 4 days there is a growth of an additional 9 leaves

So for the 20th day, we can see 58

The difference between the 20th and 32nd day is 12

The number of 4s we can see here is 12/4 = 3

For each 4, we can count extra 9 leaves

So for the 12, the number of leaves we can count is 3 * 9 = 27

we proceed to add this to 58

That will yield 58 + 27 = 85

It's c Bye bye have a amazing day

After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

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Answer:

Don’t really know what the question is, but these are the answers for x

The expression is written as 2x - 9 = 17 and x = 13

Algebraic expressions are simply defined as expressions that are known to consist of terms, variables, constants, coefficients and factors.

These expressions are also seen as expressions containing mathematical or arithmetic operations.

These operations are listed as;

From the information given, we have that;

the difference between twice a number and nine is 17.

Let the number be x, we get;

2x - 9 = 17

collect the like terms

2x = 17 + 9

add the values

2x = 26

Divide the values

x = 13

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The complete question:

Write an equation for the following verbal expression: the difference between twice a number and nine is 17. Find the number

The equation of a line passing through the points (5,5) and (8,11) is

3) y = 2x-5.

What is equation?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b).   It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

Here the given two points are \((x_1,y_1)=(5,5)\) and \((x_2,y_2)=(8,11)\) .

Now using slope formula then,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{11-5}{8-5} =\frac{6}{3} = 2\)

Now using equation formula then \(y-y_1=m(x-x_1)\)

=> y-5=2(x-5)

=> y-5 = 2x-10

=> y = 2x-10+5

=> y = 2x-5

Hence the equation is 3) y = 2x-5.

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