What should the purchase price of a 5-year zero coupon bond be if it is purchased today and has face value of $1,000?

For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26

We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.

Thus,   angle A = angle B

Now we will put the value of the respective angles and solve for x, we will get,

       angle A = angle B

      (4x-8)° = (3x+18)°

       4x – 3x = 18 + 8

            x = 26

hence the value of x = 26

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Answer:42

Step-by-step explanation:

Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42

Answer:

42 jumping jacks

Step-by-step explanation:

To find how many Hayfa does in a minute divide 336 by 8

➟ 336/8

➟ 42

∴ Hayfa can do 42 jumping jacks in a minute

Answer:

the answer is 2^x-7 = 1/3x+-1/3

graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining

Answer:

19/9

Step-by-step explanation:

Divide 19/9 using calculator or long division to check.

Hope this helps!

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Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.

If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.

If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.

let x = length of first piece

2x = length of second piece

3 + 5x = length of third piece

x + 2x + 3 + 5x = 19 inches

Solving for x,

8x = 19 -3

8x = 16

x = 2 inches

length of first piece = 2 inches

Substitute the value of x in the expressions for the second and third piece.

length of second piece = 2x

length of second piece = 2(2)

length of second piece = 4 inches

length of third piece = 3 + 5x

length of third piece = 3 + 5(2)

length of third piece = 3 + 10

length of third piece = 13 inches

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Multiplication is the opposite of division. When we multiply 4.15*3 we get 13.53.

Multiplication is one of the four basic arithmetic operations, alongside the addition, subtraction, and division. In math, multiply means the repeated addition of groups of the equal sizes.

The symbols for multiplication are cross (x), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Commutative Property: According to this property, when we multiply two numbers, the result will not change depending on the order.

Associative property: It states that if we multiply three or more numbers consecutively, the order is irrelevant.

4.51

X   3

-----------

13.53

-----------

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Answer:

-1, 2

Step-by-step explanation:

Plug the "x" on the top row into the "x" on the equation.

y = 3(0) - 1 = -1

y = 3(1) - 1 = 2

Answer:

121 x 3 = 363
117 + 108 = 225

363 - 225 = 138

138 is the third game
I'm not very sure how to write an equation for this, I guess it would look something like
117 + 108 + x = 363

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

x = 1/2 or 0.5, y = 1

Step-by-step explanation:

it just means a system of equations.

-4x + 3y = 1

6x - y = 2

let's multiply the second equation by 3 and add both resulting equations :

-4x + 3y = 1

18x - 3y = 6

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

14x 0 = 7

14x = 7

x = 7/14 = 1/2 = 0.5

6x - y = 2

6×1/2 - y = 2

3 - y = 2

-y = -1

y = 1

Answer: [tex]\frac{3-x}{2}[/tex]-4

Step-by-step explanation:

(3-x)/2 -4=[tex]\frac{3-x}{2}[/tex]-4

Answer:

y=2x+5

y=-1.5x+9

3y=-2x+10

Step-by-step explanation:

2x+y=5

y=2x+5

9-y=1.5x

-y=1.5-9

y=-1.5x-9

2x=-3y+10

3y=-2x+10

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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9990000 are 7 digit phone number combinations are possible.

what is permutation and combination?

Find every 7-digit phone number combination that exists first.

Given that the digit can be repeated, a total of 107 combinations are available.

The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."

since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.

The total number of potential combinations that begin with "911" is then subtracted.

We finally get

10⁷  - 10⁴

= ( 10³ - 1 ) ×  10⁴

= 999 × 10⁴

= 9990000

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Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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Answer:

No they are not 'like' terms

Step-by-step explanation:

8x  and   2x    WOULD be 'like' terms

8x   and 2x^2    are not

8x and 2x^3    are not either

Answer:

5

Step-by-step explanation:

Answer:

LM:MN:

NO =3:

3N

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

or,x-2=1

or,x=2+1

or,x=3

Using the fact that the two angles are complementary, the we will find that the measures are:

∠1 = = 14°

∠2  = 76°

By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).

We also can see that:

∠1 = x - 5

∠2 = 4x

Then we can solve the linear relation:

(x - 5) + 4x = 90

x - 5 + 4x = 90

5x - 5 = 90

5x = 90 + 5 = 95

x = 95/5 = 19

Then the measures of the two angles are:

∠1 = (x - 5)° = (19 - 5)° = 14°

∠2 = 4x = 4*19° = 76°

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Answer:

6 1/3 cups are in 2 cups

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

+

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

1 cup + 1 cup = 2 cups

Therefore it is 6 1/3 cups.

Answer:

The answer is Option C

Answer:

I think the answer would be C

Step-by-step explanation:

Answer:

g is the acceleration due to gravity.

if right please mark me brainliest

Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.

An exponential function is given as follows:

[tex]y = ab^x[/tex]

In which:

For this problem, we have that:

From this, we get that the parameters are given as follows:

a = 1, b = 2.

Hence the function for the number of contaminated people after t days is given by:

[tex]f(t) = 2^t[/tex]

Now, we have to solve for t when f(t) = 700000, hence:

[tex]2^t = 700000[/tex]

[tex]\log{2^t} = \log{700000}[/tex]

[tex]t\log{2} = \log{700000}[/tex]

t = log(700000)/log(2)

t = 19.4, rounded to 20.

It takes 20 days for everyone in the town to catch the virus.

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Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

Here is your Answer

step by step explanation

Hit thanks, if it's help full

Yes, it is not possible to have an absolute maximum or absolute minimum.

Here,

We are examining a function over an interval ( a , b ) , for a and b finite,

We have to find,  is it possible not to have an absolute maximum or absolute minimum.

What theorem indicates the existence of absolute maxima or absolute minima of a function?

If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].

Now,

The function is define over an interval (a, b).

Hence, the function is define on open interval.

So, it is not possible to have an absolute maximum or absolute minimum.

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a) Shelly Lemony's down payment is $24,000.

b) The loan amount is $96,000.

c) The monthly payment is $8,350.89.

d) The finance charge is $4,210.68.

The down payment represents the initial up-front partial payment for the purchase of the equipment on loan.

The down payment reduces the cost of the equipment to the loan amount.  Finance companies demand a down payment to ascertain the buyer's willingness and ability to proceed with the loan arrangement.

It is a sign of commitment to meet the loan contract obligations.

Monthly Pay:   $8,350.89

Total Loan Amount = $96,000.00

Upfront Payment $24,000.00

Equipment loan = $120,000

Number of periods = 12 months

APR = 8%

Total of 12 Loan Payments = $100,210.68

Total Loan Interest = $4,210.68

Total Cost (price, interest, tax, fees) = $124,210.68

Thus, Shelly will make a down payment of $24,000 or 20% of the equipment loan.

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Answer:

I times the 12 by 5 and divided by 2 and subtract by 12

I get 18 and I thought it is 18

Answer:

Step-by-step explanation:

If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4

If rolled 12 times, then 4/12 times the number would be greater than 4

4/12 = 1/3

Answer:

[tex]e=\frac{-5e-90}{216}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]

Answer: A

Step-by-step explanation: