what 2 numbers can you add to get 7 and multiply to get - 8

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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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:

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

The cost to send a letter that weighs 5 ounces is $11.75.

Flat rate = $8.00

Charges on every ounce = $0.75

Given equation :

y = 0.75x + 8.00

'y' = Cost of the postage

'x' = Weight of the letter in ounces

According to the question we can determine the cost of mailing a letter with the help of given equation (y = 0.75x + 8.00).

We have given that the weight of letter that need to send is 5 ounces.

So, x = 5

Lets find the cost of postage,

y = 0.75x + 8.00

y = (0.75 × 5) + 8.00

y = 3.75 + 8.00

y = $11.75

Hence, it will take $11.75 to mail a letter or we can say cost of postage.

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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 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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Answer:

sum = addition. p+157=171

Step-by-step explanation:

Answer: P + 157 = 171

Step-by-step explanation:

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

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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Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

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:

88,86416

Step-by-step explanation:

Answer:

42.857143%

Step-by-step explanation:

As a decimal, this would equal, 0.428!

When you convert that into a percentage, you'll get 42.857143%, which btw, you can round to 43%!

I hope this helps!

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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Answer:

the answer is x intercept is 8 and the y intercept is 10

Answer:

Step-by-step explanation:

angle 5 = 52, therefore angle 6 = 180 - 52 = 128

angle 7 = 52

Answer: i think it is d but im not sure

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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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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The pairs of equivalent expressions are:

(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b

(5 + 2b) + (2b + 3/2) --> 4b + 13/2

(7/2b - 3) - (8 + 6b) --> -5/2b - 11

(-10 + b) + (7b - 5) --> 8b - 15

Evaluate each of the given expressions in order to find out which expression is equivalent to each.

(-14 + 3/2b) - (1 + 8/2b) = (-14 + 3/2b) - (1 + 4b)

= -14 + 3/2b - 1 - 4b

= -15 - 5/2b

(5 + 2b) + (2b + 3/2) = 5 + 2b + 2b + 3/2

13/2 + 4b

4b + 13/2

(7/2b - 3) - (8 + 6b) = 7/2b - 3 - 8 - 6b

-5/2b - 11

(-10 + b) + (7b - 5) = -10 + b + 7b - 5

= -15 + 8b

= 8b - 15

Thus, the pairs of equivalent expressions are:

(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b

(5 + 2b) + (2b + 3/2) --> 4b + 13/2

(7/2b - 3) - (8 + 6b) --> -5/2b - 11

(-10 + b) + (7b - 5) --> 8b - 15

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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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The second semester grade point average for Patty was 2.21.

Due to that,

She received an upper D mark in the five hours of discrete math.

A higher B in her three-hour sociology class,

In her one-hour engineering course, she received an upper C.

And an upper B mark in her five-hour philosophy course.

A is worth four points, B is worth three, C is worth two, D is worth one, and F is worth none.

We must discover,

The semester's grade point average for Patty.

The answer to the query is

The student's grade point average is:

multiplying each point by its corresponding credit hour, adding them all up, and then dividing the result by the total amount of credit hours.

Then,

A single point is equal to 5(1) + 3(3) + 1(2) + 5(3), which is 5 + 9 + 2 + 15 = 31.

The numbers outside of the parentheses represent the credit hours while those inside represent the points.

Now,

Total credits earned equal 14 (5 + 3 + 1 + 5).

Patty's semester grade point average was 2.21.

Patty's semester grade point average is 2.21 as a result.

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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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The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e. 2.5.

As per the question statement, It is given that Kary took 4 courses last semester i.e., History, Biology, Calculus, and Physics. The means and standard deviations for the final exams, and Kary's scores are given as follows:

History 53   16

Blology 77    10

Calculus 70   12

Physlcs 60  14

Kary's score In the above four subjects are: 69,74.5,88,67

We are supposed to convert Kary's score in z-score which is as follows:

History : [tex]\frac{69-53}{16} =1[/tex]

Biology: [tex]\frac{74.5-77}{10}=-0.25[/tex]

Calculus: [tex]\frac{88-70}{12} =1.5[/tex]

Physics: [tex]\frac{67-60}{14} = 0.5[/tex]

From the above calculations, it is clear that The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e., [tex]1.5[/tex]

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9g-8g-1=16

g-1=16

g=17