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Teresa in 3 years will owe $12.520, of which she borrowed $8,000 at the rate of 15.5% compounded semiannually.

So, Teresa borrowed $8,000 at a rate of 15.5%:

(Refer to the table given below)

Therefore, Teresa in 3 years will owe $12.520, of which she borrowed $8,000 at the rate of 15.5% compounded semiannually.

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The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.

It follows from the task content that the inequality which represents the statement given in the task content is to be determined.

First each section of the statement must be highlighted as follows;

x is greater than -2 can be written as;

x > -2 or -2 < x

x is less than 8 can be written as:

x < 8.

Therefore, the compound inequality which represents the word phrase is; -2 < x < 8.

Ultimately, The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.

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The value of y in the given equation is 19/20

From the question, we are to determine the value of y in the given equation

The given equation is

3 1/3(y + 1 1/8) = 6 11/12

First, convert the the fractions into improper fractions

10/3(y + 9/8) = 83/12

Multiply both sides of the equation by 3/10

3/10× 10/3(y + 9/8) = 3/10× 83/12

y + 9/8 = 3/10× 83/12

y + 9/8 = 83/40

y = 83/40 - 9/8

y = (83 - 45)/40

y = 38/40

y = 19/20

Hence, the value of y in the given equation is 19/20

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Based on the fact that both workers received the same number of hours, the minimum number of hours that each employee will be assigned is 60 hours.

One worker gets 15 hours shifts and the other gets 6 hour shifts.

If they will have the same number of working hours, the minimum number of hours for these workers will be the lowest common multiple of 6 and 15.

Multiples of 15:

Multiples of 6:

The minimum number of hours is therefore 60 hours.

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Answer: 60

Step-by-step explanation:

LCM of 6 & 15

15

-------------

15

30

45

60

75

90

105

6

---------

6

12

18

24

30

36

42

48

54

60

LCM of 6 & 15 is 60

For the given function, we have that:

The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.

Hence, the domain is [-4,4] for the given function.

The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.

For this problem, the function does not cross the x-axis, hence it has no zeros.

Looking at the graph of the function, we have that:

Hence, for the function in the given graph:

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Answer:

What do I solve for? If it's the length of spool not used, then the answer is

9 11/24 yards of spool.

Step-by-step explanation:

12 1/8 - 2 2/3=

12 - 2 + 1/8 - 2/3=

10 + (1/8 - 2/3)*24/24 =       ==> multiply by 24 to get rid of denominator

10 + (24*1/8 - 24*2/3)/24 =

10 + (24/8 - 48/3)/24 =

10 + (3 - 16)/24 =

10*24/24+ (-13)/24 =

240/24 - 13/24=

(240-13)/24=

227/24=

(216+11)/24=

216/24 + 11/24=

9 + 11/24=9 11/24 yards of spool

Mars is half as big as Earth and that they each have an equal amount of dry land surface to determine by how much the circumference of the Earth is larger than that of Mars.

we need D(Earth) / D(Mars).

D(Earth) / D(Mars) = 1.2763 x 10⁴km/6.8  x 10³ km ≈ 1.9

D(Earth) / D(Mars) ≈ 1.9

The fifth-largest planet in our solar system by radius, the Earth has a circumference of 3,959 miles.

The other seven planets are joined by Earth and Mars. These two planets in our solar system share some geological characteristics, such as the fact that  Mars, the seventh-largest planet in our solar system, has a radius of 2,106 miles. There are a few distinctions between Mars and Earth, though.

Hence, these planets differ in terms of their sizes, atmospheres, and temperatures.

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9g-8g-1=16

g-1=16

g=17

Answer: i think it is d but im not sure

Step-by-step explanation:

After solving the given equation the two values of V are (v = 12) and

(v = -2/3).

So, substitute 'w = 3v + 2' in w(2v + 9) = 3w(v - 1):

Therefore, two values of v are (v = 12) and (v = -2/3)

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Answer: (83 + 91 + 82 + 95) / 4

Step-by-step explanation:

        The information given tells us how to complete the question. We will be finding the average.

       Add all the scores together, and divide by the number of tests.

(83 + 91 + 82 + 95) / 4

       Since this question asks for an expression, we will end here. If it asked us to solve, we would do the following;

(83 + 91 + 82 + 95) / 4

(351) / 4

87.75

The type of the compound inequality 3|y+7| - 16 > 5 is an intersection

The compound inequality is given as

3|y+7| - 16 > 5

Add 16 to both sides of the inequality

So, we have

3|y+7| > 21

Divides both sides by 3

So, we have

|y+7| > 3

When the above inequality is solved, the region between the boundaries are shaded

This represents an intersection

Hence, the type of the compound inequality 3|y+7| - 16 > 5 is an intersection

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Answer:The answer is disjunction !!

Step-by-step explanation:

I took the test and got this correct.

The number of teaspoons of key lime zest to make 30 cupcakes is

35/8 or 4 3/8

Given,

Margaret uses 1 3/4 teaspoon of key lime zest to make 12 cupcakes.

She wants to make 30 cupcakes.

We need to find how much key lime zest will Margaret use.

Example:

1 bag = N mango

Then to find the number of mangoes in 5 bags we need to multiply 5 on both sides.

5 bags = 5 x N mangoes.

We have,

1 3/4 teaspoons of key lime zest = 12 cupcakes

7/4 teaspoons of key lime zest = 12 cupcakes

7/4 = 12 cupcakes

Multiply 30 on both sides.

7/4 x 30 = 30 x 12 cupcakes

Divide both sides by 12.

7/4 x 30/12 = 30 cupcakes

35 / 8 = 30 cupcakes

or

4 3/8 = 30 cupcakes

This means,

35/8 or 4 3/8 teaspoons of key lime zest to make 30 cupcakes.

Thus the number of teaspoons of key lime zest to make 30 cupcakes is

35/8 or 4 3/8.

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Using simple linear equations, we can calculate that Andy has 3 quarters.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Let the number of quarters Andy has = x

number of dollars Andy has = 20 - x

value of quarter = 0.25x

value of dollars = 0.5(20 - x)

Total value = $9.25

⇒ 0.25x + 0.5(20 - x) = 9.25

⇒ 0.25x + 10 - 0.5x = 9.25

⇒ - 0.25x = 9.25 - 10

⇒ - 0.25x = - 0.75

⇒   x = 3

Andy has quarter = 3

He has dollars = 20 - 3 = 17

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Answer:

this makes no sense but I think the answer is 38 inches

Step-by-step explanation:

The numbers are 4 units from -2 on this number lines are -6, 2 and 6.

A number line is a horizontal line that has equally spread number increments.

The numbers included on the line will determine how the number on the line can be marked.

According to the question,

Firstly, we will add the two numbers.

4 + (-2) = 4 - 2 = 2

Then, we will subtract the two numbers.

4 - (-2) = 4 + 2 = 6

-2 - 4 = -6

The numbers 2, 6 and -6 are represented on the number line.

Therefore, the numbers are 4 units from -2 on this number lines are -6, 2 and 6.

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By solving a system of equations, we conclude that they sold 30 of the same-day tickets and 15 of the advance tickets.

Let's define the variables that we will be using:

We can write the system of equations:

x + y = 45

x*35 + y*20 = 1125

Isolating x on the first equation we get:

x = 45 - y

Repacing that in the other equation we get:

(45 - y)*35 + y*20 = 1125

1,575 - y*15 = 1125

1,575 - 1125 = y*15

(1,575 - 1125)/15 = y = 30

Then:

x = 45 - y = 45 - 30 = 15

We conclude that they sold 30 of the same-day tickets and 15 of the advance tickets.

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Airline A will pay $28 million in taxes based on the EBIT of $100 million

The increase in interest expenses by $20 million means that the  income tax expense decreases by $7 million.

What is the taxable earnings for company A?

The fact that company A has debt and would pay interest expenses of $20 million means that its taxable income is the earnings before interest and tax minus the interest expense

taxable income=$100 million-$20 million

taxable income=$80 million

taxes=taxable income*tax rate

tax rate=35%

company A's taxes=$80 million*35%

company A's taxes=$28 million

It should be noted that the higher the increase in interest expenses, the higher the tax savings that Airline A would achieve, hence, adding an additional borrowing which costs an extra $20 million in interest means that the company's taxes can be computed as shown below:

taxable income=$100 million-$20 million-$20 million

taxable income=$60 million

taxes=taxable income*tax rate

tax rate=35%

company A's taxes=$60 million*35%

company A's taxes=$21 million

In other words, Airline A would achieve a $7 million savings in taxes since the increase in interest expenses means that taxes decrease from $28 million to $21 million

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Answer:

The weight of gold in the alloy is 32 g.

Answer:

The weight is 32 grams

Step-by-step explanation:

Annual interest rate on $4800 for 2 years is 5.6%.

An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given,

The principal amount = $4800

Time period = 2 years

Interest rate = $537.60

I = P × R × T / 100

where P = principal amount,

R = rate of interest,

T = Time period

537.60 = 4800 × R ×2 / 100

⇒ R = 537.60 ×100 / 4800 × 2

⇒ R = 5.6%

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Answer:

Average salary 13.16 120 + 18 + 20/12

The quadratic equation that contains (0, 7), (2, 15) and (3, 10) is y = - 3 · x² + 10 · x + 7.

Quadratic functions are polynomials of the form y = a · x² + b · x + c, where a, b, c are real coefficients. To determine the coefficients, we need at least three distinct points on Cartesian plane. A solution that is algebraic exact only need three points, then we must resolve this system of linear equations:

c = 7                                      (1)

4 · a + 2 · b + c = 15              (2)

9 · a + 3 · b + c = 10              (3)

The solution to this system of linear equations is (a, b, c) = (- 3, 10, 7).

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The scale used by Johan is 1: 252.

Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.

As per mathematical measurements-

1 yard = 3 feet

and 1 feet = 12 inches

Thus, 3 feet = 12 x 3 inches

= 36 inches

Therefore, we get that 1 yard = 36 inches

Now, the picnic area is 70 yards

the picnic area in inches is = 70 x 36 inches wide

= 2520 inches

Thus the scale used by Johan will be-

10 : 2520

= 1 : 252

Thus, the scale used by Johan is 1 : 252.

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The balance in dollars and cents in Yolanda's account at the end of 4 years is $5,355.29

What is the future value of an ordinary?

An ordinary annuity is the one where the monthly deposit occurs at the end of each month rather than at the beginning of the months such its future value based on 5.5% annual interest rate can be determined thus:

FV=PMT*(1+r)^N-1/r

FV=balance in dollars and cents in Yolanda's account at the end of 4 years=unknown

PMT=monthly deposit=$100

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly deposits in 4 years=4*12=48

FV=$100*(1+0.00458333333333333)^48-1/0.00458333333333333

FV=$5,355.29

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Missing question:

What was the balance in dollars and cents in Yolanda's account at the end of 4 years?

Expression best shows above condition is -5-3+3

What is an expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that while playing board game we pick a card that sends us back five spaces. On our next turn, we must move back three more spaces. On our third turn, we get to move forward three spaces.

and, expression best shows how we could find our new spot on the game board will be :

for first move, five spaces back means = -5

for second move, three spaces back means = -3

and for third move, three spaces move forward = +3

combining all the three terms we get :  -5-3+3

Therefore, expression best shows above condition is -5-3+3

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Answer:

C) 3 sets of -2 tiles

Step-by-step explanation:

Its -2 three times, making it -6

If you multiply a positive and negative it is always negative

Answer:

sum = addition. p+157=171

Step-by-step explanation:

Answer: P + 157 = 171

Step-by-step explanation:

The equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is

S = 15 - 0.75t

From the question, we are to write an equation for S, in terms of t, that represents the depth of the snow on Emily's lawn, t hours after the snow stopped falling

From the given information,

"There was a depth of 15 inches of snow on the lawn when the storm ended"

and

"after 4 hours, the depth of snow was down to 12 inches"

That is,

The snow has reduced by 15 - 12 inches after 4 hours

15 - 12 = 3

Thus,

The snow has reduced by 3 inches after 4 hours

Now,

If the snow reduced by 3 inches after 4 hours,

Then,

The snow will reduce by x inches after 1 hour

x = (3×1)/4

x = 3/4 inches

x = 0.75 inches

This means the snow reduces by 0.75 inches every hour.

Now,

After t hours, the snow would have reduced by 0.75t

Thus, the depth of the snow, S, after t hours will be

S = 15 - 0.75t

Hence, the equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is

S = 15 - 0.75t

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