using the law of sines, solve for ‘x’

Answer:

2 years : $280

10 years: $1400

Step-by-step explanation:

The amount of interest earned in 10 years will be $1,400.

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

$3,500 was put into a savings account Lou. 4% is the simple interest rate.

The amount of interest after 10 years is calculated as,

I = ($3,500 x 4 x 10) / 100

I = $1,400

The amount of interest earned in 10 years will be $1,400.

More about the simple interest link is given below.

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15 percent off 9.00 is 7.65

Step-by-step explanation:

The difference is 1.35

Answer:

Option (A)

Step-by-step explanation:

x                y                  Ratio [tex](\frac{y_2}{y_1})[/tex]

1                7                       -

2              21                   [tex]\frac{21}{7}=3[/tex]

3              63                  [tex]\frac{63}{21}=3[/tex]

4             189                 [tex]\frac{189}{63}=3[/tex]

5             567                [tex]\frac{567}{189}=3[/tex]

Since, there is a common ratio in each successive term of y over the equal interval of x values,

Given table will represent an exponential function.

Therefore, Option (A) will be the correct option.

Answer:

x = -7/2

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

2x +7 =

2x = -7

x = -7/2

By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.

We know that for a figure of N sides, the sum of the interior angles gives:

S = (N - 2)*180°

In this case, we have 7 sides, then the sum of the interior angles gives:

S = (7 - 2)*180° = 5*180° = 900°

Adding the 7 angles we get:

105° + 150° + 140° + x° + 135° + 125° +135° = 900°

790° + x° = 900°

x° = 900° - 790°

x = 110°

The value of x is 110.

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Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:

Answer:

3 3/18

Step-by-step explanation:

5 3/6-2 1/3

We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:

33/6-7/3

Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:

33/6-14/6

Now we can subtract the numerators.

19/6

To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.

HTH :)

Answer:

3 3/18

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

o dont really know. I dont understand the question

Answer:

33 and 27

Step-by-step explanation:

60 ÷ 2 is 30

33 is 6 more than 27

Answer: Choice D is correct

You use the HL (hypotenuse leg) theorem here.

The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.

The other choices don't have enough information to be able to say if the triangles are congruent or not.

The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.

The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.

Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

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Answer:

3 weeks and 4 days.

Step-by-step explanation:

If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6

3 3/6 + (1/6 x 4) = 4 1/6

3 weeks and 4 days

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

[tex]a^2+b^2=c^2[/tex]

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20

Answer:

i think its B

Step-by-step explanation:

D, C, and A are def wrong so i think its B

i hope i helped you!

Answer: that would be d

Step-by-step explanation:

Answer:

The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please

Answer:

m= 4 months

Step-by-step explanation:

divide and subtract them numbers

1. AD and BC bisects each other at E

1. Given

2. ABE ≈DCE

2. Vertical Angles

3. ABE≈DCE

3. SAS postulate

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

Answer:

The Point estimate p = 0.342

Step-by-step explanation:

For the sample, 95% confidence interval (0.202,0.482) . The Confidence interval width = (0.482 - 0.202) = 0.28

The margin of error = 0.28/2

The margin of error = 0.14

So, Point estimate p = Lower bound + Margin of error

Point estimate p = 0.202 + 0.14

Point estimate p = 0.342

Therefore, the Point estimate p = 0.342

Answer:

a=v-4

Step-by-step explanation:

Answer:

61.2

Step-by-step explanation:

To solve this, we would have to use the arithmetic progression formula

S(n) = a + (n - 1) d, where

S(n) = is the value of the nth term

a = value of the first term

n = the nth term we're interested in

d = difference between successive terms

We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44

If so, we can use this to get our "d", saying

44 = 1 + (6 - 1) d

where

44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have

44 = 1 + 5d

5d = 44 - 1

5d = 43

d = 43/5

d = 8.6

This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term

S(n) = 1 + (8 - 1) 8.6

S(n) = 1 + 7 * 8.6

S(n) = 1 + 60.2

S(n) = 61.2

Therefore, the 8th term is 61.2

Answer:

x+1=4x-2

Subtract x from both sides

1=3x-2

Add 2 to both sides

3=3x

Divide 3

x=1

Answer:

x+1=4x-2

-4 -4

-3x+1=-2

-1 -1

-3x=-3

x=-3÷-3

x=1

Question:

A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?

My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.

Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

Answer:yes

Step-by-step explanation:

44/4=11

11 is less than 27

Answer:

(22+32) (3) I think

Step-by-step explanation:

Calculate the risk measure (beta) compared to the returns of asset and market premium.

1.4 = 4 + 9((rm^-4)

1.4 = 9rm ^-32

33.4 = 9rm

Rm = 3.71

The answer is 3.71

Answer:

★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.

★ Import - when items are brought in from other countries.

★ Export - when items are sold from one country to another.

★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.

★ Legislature - a group of people coming together to legitimize decisions.

★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.

★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.

★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.

★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.

Step-by-step explanation:

Hope you have a great day ;-)

Answer:

The discount price is $27.50

The sale price of item is $82.49

Step-by-step explanation:

Regular price of item = $109.99

Discount = 25%

We need to find discount and the sale price to the nearest cent.

Finding Discount Price

First we need to find 25% of 109.99 which is the discount price

[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]

The discount price is $27.50

Now, finding Sale price

Sale Price= Regular Price - Discount Price

Sale Price= 109.99 - 27.50

Sale Price = 82.49

The sale price of item is $82.49