Marty saves 12% of his annual salary for a fund. This year, his salary was $3,000 more than last year. and he saved $3,600. What was Marty's salary last year?

3x-2

-(-5x+7)

☝️this is your equation

distribute your subtraction sign to -5x+7 and you get

3x-2

+5x-7

add everything together and you end up with

8x-9

Answer:

[tex]\large\boxed{(3x-2)-(-5x+7)=8x-9}[/tex]

Step-by-step explanation:

[tex](3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9[/tex]

Answer:

The grade for path a is 257.1428571%

The grade for path b is 213.5%

Step-by-step explanation:

To find the grade of a slope, you take the rise over run then you multiply by 100.

Answer:

LM = 23 units

Step-by-step explanation:

triangle KLN and triangle MLN are congruent.

The segment LM is equal to segment LK.

Also, MN is same as KN, thus we can write:

[tex]MN=KN\\25=14x-3\\25+3=14x\\28=14x\\x=2[/tex]

Since, x = 2, we can get the side length LM:

[tex]LM=LK=9x+5\\LM=LK=9(2)+5\\LM=23[/tex]

Hence, LM = 23 units

Answer:

LM = 23 units

Step-by-step explanation:

From figure we can see an isosceles triangle KNM

KN = NM

NL is the perpendicular from N to KM,

Therefore KL = LM

To find the value of x

From figure we can write,

14x - 3 = 25

14x = 25 + 3 = 28

x = 28/14 = 2

To find LM

LM = KL

we have KL = 9x + 5

Therefore LM = 9x + 5 = (9 * 2) + 5  = 23 units

Answer:

The slope is 5

Step-by-step explanation:

This equation is in slope intercept form

y = mx +b

where m is the slope and b is the y intercept

y = 5x+4

where 5 is the slope and 4 is the y intercept

Answer:

Step-by-step explanation:

The slope-intercept form of the equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 5x + 4

Therefore the slope is m = 5

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

[tex]Sn=\frac{(a_1+a_n)n}{2}[/tex]

Where:

[tex]a_1=152\\a_n=a_{24}[/tex]

You should find  [tex]a_{24}[/tex]

The formula to find it is:

[tex]a_n=a_1+(n-1)d[/tex]

Where d is the difference between two consecutive terms.

[tex]d=138-152=-14[/tex]

Then:

[tex]a_{24}=152+(24-1)(14)=-170[/tex]

Substitute it into the first formula. Therefore, you obtain:

[tex]S_{24}=\frac{(152-170)(24)}{2}=-216[/tex]

Answer:

Sn = -216

Step-by-step explanation:

We are given the following sequence and we are to find the sum of the given sequence if there are 24 terms in it:

[tex] 152, 138, 124, ... [/tex]

We know that the formula of sum for an arithmetic sequence is given by:

[tex]S_n =\frac{n(a_1+a_n)}{2}[/tex]

where [tex]a_1[/tex] is the first term (124)and [tex]a_n[/tex] is the last term [tex]a_{24}[/tex].

To find [tex]a_1[/tex], we will use the following formual:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_24=152+(24-1)(-14)[/tex]

[tex]a_{24}=170[/tex]

Substituting the given values in the above formula to get the sum:

[tex]S_n =\frac{24(152-170)}{2}[/tex]

[tex]S_n=-216[/tex]

Bases have bitter taste. (1)

Answer:

Bitter taste would belong to a base

Step-by-step explanation:

Answer:226,432.80

Step-by-step explanation:

Final answer:

Javier's total financed price for his home, excluding the longer-term interest but including the cost of buying points, is $97,920. This total includes the initial mortgage of $96,000 after a 20% down payment on a $120,000 home and the $1,920 spent on purchasing two points to reduce the interest rate.

Explanation:

Javier's home cost $120,000, and he was required to make a 20% down payment. Twenty percent of $120,000 is $24,000, which is the down payment amount. Therefore, the initial loan amount is $120,000 - $24,000 = $96,000.

Buying points typically costs 1% of the loan amount per point to lower the interest rate by a certain percentage. It is not specified how much the rate was lowered by purchasing 2 points, but we can calculate the cost. Two points on a $96,000 loan is 2% of $96,000, which equals $1,920.

Thus, the total financed price of the home, not counting interest payments over the term of the mortgage but including the cost of the points, is the initial loan amount plus the cost of the points: $96,000 initial loan + $1,920 for points = $97,920.

Answer:

The correct option is 1.

Step-by-step explanation:

The given table shows the mean daily temperature in Idaho during a week in January.

Sunday = 0.7°F

Monday = -1.2°F

Tuesday = -1.8°F

Wednesday = 1.1°F

Thursday = 0°F

Friday = 0.2°F

Saturday = -0.4°F

Arrange the temperature in ascending order.

-1.8°F, -1.2°F, -0.4°F, 0°F, 0.2°F, 0.7°F, 1.1°F

It means the lowest mean temperature was on Tuesday and the highest mean temperature was on Wednesday.

Therefore the correct option is 1.

Answer:

The lowest mean temperature was on Tuesday.

THIS IS THE EXACT ANSWER ON TTM

Step-by-step explanation:

Answer:

Volume of Rectangular Prism:

V = lwh thus: V = 5 cm³

Step-by-step explanation:

Answer:

l = 2.5 cm

w = 4 cm

h = 0.5 cm

d = 4.74342 cm

S = 26.5 cm²

Agenda:

l = length

w = width

h = height

d = diagonal

S = surface area  

V = volume

Answer:

The answer is 5 cm cubed.

Step-by-step explanation:

First, use the formula for solving rectangular prisms, l*w*h(length times width times height). If you do that, 4*1/2 is 2. 2*5/2 is 5. Thus, the answer is 5.

Hope this helps!

Answer:i might be wrong but i believe its b

Step-by-step explanation:

Answer:

A : 1/4

B : 19/100

C : 3/50

Step-by-step explanation:

There are 25 prime numbers from 1 to 100.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

25/100 = 1/4

There are 19 numbers that contain 9.

9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99.

19/100

There are 6 numbers that are prime and contain 9.

19, 29, 59, 79, 89, 97.

6/100 = 3/50

Answer: 82 2/3 yards squared

Step-by-step explanation: The formula for area is l × w = A. Because of this, you need to multiply the two numbers.

1. Make 10 1/3 into an improper fraction.

10 1/3 = 31/3

2. Multiply!

31/3 × 8/1 = 248/3

3. Simplify

3 goes into 248 82 times with 2 left over (82 2/3)

Answer:

Part 1) [tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) [tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) [tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Step-by-step explanation:

Part 1) Find sin(2x)

we know that

[tex]sin(2x)=2sin(x)cos(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

Find cos(x)

Remember that

[tex]sin^{2}(x)+cos^{2}(x)=1[/tex]

substitute

[tex](\frac{1}{9})^{2}+cos^{2}(x)=1[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{9})^{2}[/tex]

[tex]cos^{2}(x)=1-(\frac{1}{81})[/tex]

[tex]cos^{2}(x)=\frac{80}{81}[/tex]

[tex]cos(x)=\frac{\sqrt{80}}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex] -----> is positive because angle x belong to the I quadrant

Find sin(2x)

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]sin(2x)=2sin(x)cos(x)[/tex]

[tex]sin(2x)=2(\frac{1}{9})(4\frac{\sqrt{5}}{9})[/tex]

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

Part 2) Find cos(2x)

we know that

[tex]cos(2x)=cos^{2}(x)-sin^{2}(x)[/tex]

we have

[tex]sin(x)=\frac{1}{9}[/tex]

[tex]cos(x)=4\frac{\sqrt{5}}{9}[/tex]

so

[tex]cos(2x)=(4\frac{\sqrt{5}}{9})^{2}-(\frac{1}{9})^{2}[/tex]

[tex]cos(2x)=\frac{80}{81}-\frac{1}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

Part 3) Find tan(2x)

we know that

[tex]tan(2x)=\frac{sin(2x)}{cos(2x)}[/tex]

we have

[tex]sin(2x)=8\frac{\sqrt{5}}{81}[/tex]

[tex]cos(2x)=\frac{79}{81}[/tex]

so

[tex]tan(2x)=\frac{8\frac{\sqrt{5}}{81}}{\frac{79}{81}}[/tex]

[tex]tan(2x)=8\frac{\sqrt{5}}{79}[/tex]

Using trigonometric identity functions, when Sinx equals 1/9, Sin(2x) equals 2√80/729, Cos(2x) equals 79/81, and Tan(2x) equals 162√80/56831.

The question asks for the values of Sin(2x), Cos(2x), and Tan(2x) when Sinx = 1/9 (x in Quadrant 1). To solve for these values, we can use the identity formulas. If given that sinx = 1/9, it follows that cosx = √(1 - sin²x) = √(1 - (1/81)) = √(80/81) because in quadrant 1, the cosine value is positive. Therefore:

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Answer:

The probability of an event can help in determining that how much chance is there of the event to occur. The probability is between 0 to 1 always. Closer value to 1 means that the event has more chance of occurrence while a probability close to zero means the event is less likely to occur.

Step-by-step explanation:

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

Answer:

Height is 17 ft.

Step-by-step explanation:

Given: Rectangular Prism is also called cuboid

          Length, L = 12 ft.    and   width, W = 9 ft.

          Surface Area of cuboid, SA = 930 ft.²

To find: height , H

The surface area of a rectangular prism or cuboid

SA = 2(LW +WH + LH)

930 = 2(12×9 +9H + 12H)

[tex]\frac{930}{2}=108 +9H + 12H[/tex]

465 = 108 + 9H + 12H

108 + 9H + 12H  = 465

21H + 108 =  465

21H = 465 - 108

21H = 357

[tex]H=\farc{357}{21}[/tex]

H = 17  

therefore, Height is 17 ft.

Answer:

2:1

Step-by-step explanation:

90-60 = 30 red marbles

blue:red → 60:30 → 2:1

Answer:

$1.42

Step-by-step explanation:

Change = Amount She Pays With - The Cost of the Book

y=10-8.58

y=$1.42

Answer:

First we must subtract 10 into 8.58, which will equal 1.42

so she will have $1.42 change back

Answer:

see explanation

Step-by-step explanation:

given

2x² - 5x - 3 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = - 5

The factors are - 6 and + 1

Use these factors to split the x- term

2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)

(x - 3)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

The answer would be 1:5

1:5 is the correct answer

Answer:

3(n+8)=45

Step-by-step explanation:

Don't pick the 2nd one because that would have been PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Hope this helps!

Option (A) The correct equation that represents 'three times the sum of a number and eight is forty-five' is 3(n+8)=45.

The equation representing "three times the sum of a number and eight is forty-five" is 3(n+8)=45. This is derived by translating the sentence into a mathematical expression: 'three times' corresponds to multiplication by 3, 'the sum of a number and eight' translates to the expression (n+8), where 'n' is the unknown number. Lastly, 'is forty-five' establishes the equality to 45.

Answer:

Could be (1,-1) or (1,3) depending where is UP

Best regards

EF = 4BC

BC = sqrt ((3-(-1)^2 +(1-2)^2)

=》 BC = sqrt (4^2 +(-1)^2) = sqrt17

=》 EF = 4BC = 4(sqrt 17)

Answer:

D. 4√17

Step-by-step explanation:

Answer:Simplifying

y = -2x + -3

Reorder the terms:

y = -3 + -2x

Solving

y = -3 + -2x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -3 + -2x

Step-by-step explanation:Simplifying

y = x + 6

Reorder the terms:

y = 6 + x

Solving

y = 6 + x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 6 + x

Answer:

No

Step-by-step explanation:

Here we are taking only one measurement:  the height of one person.  Strictly speaking, this is NOT a statistical question.

"List the heights of a sample of 50 first-graders" would definitely be a stat. question.

The question 'How tall is Sam?' is not a statistical question. Statistical questions expect a variety of responses, not a singular answer. Height is typically measured in feet or centimeters.

The question 'How tall is Sam?' is not considered a statistical question. A statistical question is one in which the answer varies and requires data collection for multiple items or individuals to answer. It is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you're interested in the distribution and tendency of those answers. For instance, 'How tall are the students in a class?' is a statistical question because it would result in a variety of answers and we could analyze that data set.

The unit for height in this context typically is measured in feet or centimeters.

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Answer:

The IQR is 0.2999999999999998

Step-by-step explanation:

You take the 3rd quartile and the 4th and you subtract them.

3rd-4th=IQR

Answer:

0.3

Step-by-step explanation:

5.5, 6.0, 6.2, 6.2, 6.3, 6.4, 6.5, 6.5, 6.8, 6.7

Median: 6.35

Lower quartile: 6.2

Upper quartile: 6.5

Interquartile range: 6.5 - 6.2 = 0.3

To calculate how much more Lynn owes in taxes, we need to subtract her deductions from her total income to find her taxable income, then apply the tax rate from the provided table (which is missing in this case) to determine her tax liability. Unfortunately, without the tax table, we cannot accurately compute her tax obligation or the additional amount owed beyond the $3,150 withheld.

The question involves calculating how much more in taxes Lynn will owe after her deductions. Lynn's total income before deductions is $38,900. After subtracting her total deductions of $11,450, her taxable income becomes $27,450. Without the tax table provided in the question, we cannot determine the exact tax rate applicable to Lynn's taxable income nor can we calculate the precise amount of taxes she owes or how much more she will have to pay on top of the $3,150 already withheld by her employer. Typically, to find out how much more Lynn owes, we would apply the appropriate tax rate to her taxable income and then subtract the amount already withheld.

Without specific tax rates and brackets from the tax table, we can only outline the steps to calculate Lynn's tax liability. This scenario underlines the importance of having complete information to accurately determine tax obligations.

The amount Lynn owe in taxes is determined as $399. (Option D).

How to calculate the amount Lynn owe in taxes?

The amount Lynn owe in taxes is calculated  by applying the following method as shown below.

Lynn income before tax = $38,900

the total deduction in Lynn income = $11,450

amount withheld for taxes = $3,150

Lynn total income after tax is calculated as;

total income after tax = $38,900  - $11,450

total income after tax = $27,450

From the tax table attached, the tax payable for a head of household earing an income between $27,450 and $27,500 is $3,549.

So if the employer withheld $3,150 for tax, the remaining amount to be paid for tax is;

remaining amount for be paid for tax is calculated as;

= total tax - amount withheld

= $3,549 - $3,150

= $399

Thus, the amount Lynn owe in taxes is $399.

The complete question is below:

Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?

A. $570

B. $563

C. $407

D. $399

Answer:

Simplify 32 • 35.

37

310

Step-by-step explanation:

• = Multiplication

Also by the process of elimination, 32+35 is not 37

Answer:

32x35=1120

Step-by-step explanation:

There is No Absolute Solution

9x+3 = 9x+5 has zero solutions.

The solution of an equation can be found by finding the value of the variable in the equation.

9x+3 = 9x+5

⇒ 3 = 9x - 9x + 5

⇒ 3 = 5

But 3 ≠ 5

The variables canceled each other out and we found that the given equation doesn't have a solution. Thus the equation has no solution.

Therefore, we have determined that the given equation 9x+3=9x+5 has zero equations.

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ANSWER

[tex]x + y = 6[/tex]

EXPLANATION

Given the x- intercept: (a,0)

and the y-intercept : (0,b)

The equation in standard form is given by:

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

The given x-intercept is N(6,0) and y-intercept is M(0,6).

This implies that:

a=6, and b=6.

We substitute into the formula to obtain:

[tex]\frac{x}{6} + \frac{y}{6} = 1[/tex]

Multiply through by 6 to get the standard form of the equation as:

[tex]x + y = 6[/tex]

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5

= 0.8571428571 Hours =

51.43 minutes

Both Jenna and Juan are INCORRECT.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 job / 2 hours + 1 job / 1.5 hours = 1 job / x  When they work together.

1/2 + 1/1.5 = 1/x                Basic Equation. Change to decimal form

0.5 + 0.6666 = 1/x          Add like terms on the left

1.1666666 = 1/x              Multiply by x on both sides.

1.1666667 x = 1               Divide by 1.16666667

x = 1 / 1.166667               Do the division.

x = 0.8571428              

x = 6/7 of an hour.

This kind of question will always produce an answer that is less than the smallest number.

So the answer must be smaller than 2 hours or 1.5 hours.