In Example 3, why did she set the values of the angles equal to each other instead of = to 90 or 180 degrees.

What is the actual question?

Answer:

6.1

Step-by-step explanation:

A person invests 6000 dollars in a bank. The bank pays 6.25% interest compounded monthly. The person leaves the money in the bank until it reaches 8800 dollars for 6.1 years.

Suppose that the initial amount of something is P.

Let after one unit of time, it increases by R% (per unit time) and compounds on the resultant total of that quantity, then, after T such units of time, then the quantity would increase to:

[tex]A = P(1 + \dfrac{R}{100})^T[/tex]

A person invests 6000 dollars in a bank. The bank pays 6.25% interest compounded monthly.

Given that :

Principal = 6000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 8800

Using the compound interest formula

[tex]A = P(1 + \dfrac{R}{100})^T[/tex]

A = final amount

n = number of times interest is applied per period

[tex]8800 = 6000(1 + {0.0625})^{t}[/tex]

[tex]8800 = 6000(1 + {0.0625})^{t}\\\\\\8800 = 6000({1.0625})^{t}\\\\\\\dfrac{8800} {6000}=({1.0625})^{t}\\\\\\1.46 =({1.0625})^{t}[/tex]

Take the log of both sides

[tex]log 1.46 = t log 1.0675\\\\0.1643 = 0.0263289t\\\\t = 6.1[/tex]

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answer:

52÷4=13

explanation:

Square has 4 equal sides.

Answer:

The answer is C

Step-by-step explanation:

The entire equation is a system ( meaning everything equals each other) when you plug in the ordered pair (10,5) you dont get the same number meaning that nothing adds up or equals each other

Answer:

B

Step-by-step explanation:

V=20h2

Answer:

b

Step-by-step explanation:

Answer:

(A) ∠1 and ∠3

Step-by-step explanation:

Angles 1 and 3 are vertical angles because they are across from each other in the intersection of two lines.

Hope this helps :)

Answer: just put whatever numbers you have together and then see what the both add up to like what number they make

Answer:

Hi! I'm going to try to explain this in the best way possible. Basically, when adding in math, we're taking 2 or more numbers, and combining their values to make a different number. For example, if we have 1 and 1, which would be represented as 1 + 1, that would be the value of 1 added to the value of 1, which is 2. You can also do this on your fingers. Since we have 10 fingers, you would count 1 of them and another 1 of them to get 2 fingers! If we try a different problem, such as 2 + 1, that would be the sum of the value of 2 and the value of 1. When counting on your fingers, that would be 2 fingers and another finger. That's 3 fingers. 2 added to 1 is 3! I hope this makes some sort of sense! Tell me if you need more clarification :)

Newfoundland and Labrador, and Quebec are the provinces located further east.

Canada is a country located in North America. This country is divided into 10 provinces each with cities and towns. Some of these provinces are:

In the eastern region of Canada, the provinces are:

From these, Newfoundland and Quebec are the ones located further east as shown on the map.

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The value of Tan(A - B) is -0.1295.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

Sin A = 5 ÷ 13 and Tan B = -√3.

The value of tan(A - B).

The angle A will be,

[tex]\begin{aligned} \rm sin A &= \dfrac{5}{13}\\\\\rm A &= \rm sin^{-1} \dfrac{5}{13}\\\\\rm A &= 22.62^o\\\\\end{aligned}\\But\ for\ the\ \dfrac{\pi}{2} < A < \pi\\\\A = 22.62^o + 90^o\\\\A = 112.62^o[/tex]

Similarly for angle B,

[tex]\begin{aligned} \rm tan B &= -\sqrt{3} \\\\\rm B &= \rm tan^{-1} -\sqrt{3} \\\\\rm B &= -60^o\\\\\end{aligned}\\\rm But\ for\ the\ \dfrac{\pi}{2} < B < \pi\\\\B = -60^o + 180^o\\\\B = 120^o[/tex]

Then tan (A - B) will be

Tan(A - B) = tan(112.62 - 120)

Tan(A - B) = tan(-7.38)

Tan(A - B) = -0.1295

Thus, the value of Tan(A - B) is -0.1295.

More about the trigonometry link is given below.

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Answer:

i honestly dont know

Step-by-step explanation:

im trying to do my test and have been stuck on this one. Sorry for the disappointment.

Answer:

268.47

Step-by-step explanation: I took the quiz

Answer:

Step-by-step explanation:

we know

9h=81-9

let's do 81-9 first

81-9= 72

so we know

9h=72

to get h on its own, divide everything by 9

h=8

Answer: The identity property of multiplication tells us that a number x 1 has a product equal to the number (itself).

Step-by-step explanation:

For example, 4 x 1 = 4. So when we multiply by a fraction that is less than 1, our product has to be less than the number we are multiplying the fraction by.

The result of multiplying a number by a fraction often becomes either smaller, larger or equal to the largest factor.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

When you multiply a number by a fraction, the product will generally be smaller than the largest factor. This is because a fraction represents a part of a whole, and is therefore less than 1. For example, if you multiply the number 10 by the fraction 1/2, the product will be 5, which is smaller than 10.

However, it is possible for the product to be larger than the largest factor if the fraction is greater than 1. For example, if you multiply the number 10 by the fraction 3/2, the product will be 15, which is larger than 10.

It is also possible for the product to be equal to the largest factor if the fraction is equal to 1. For example, if you multiply the number 10 by the fraction 1/1, the product will be 10, which is equal to 10.

Thus, often, when a fraction is multiplied by a number, the result is either lower, greater, or equal to the greatest factor.

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Answer:

39.125%

Step-by-step explanation:

Answer:

313/8

Step-by-step explanation:

(313 ÷ 800) x 100 = [tex]\frac{313 \times 100}{800} =\frac{31300}{800} =\frac{313}{8}[/tex] %

analyze problem

complex interest

2000+2000*0.005=2010

2010+2010*0.005=2020.05

2020.05+2020.05*0.005=2030.15025

Answer:

Below!

Step-by-step explanation:

To find out which ratio is equal to 4:9, multiply anything to both the numerator and the denominator. Remember, the multiplication must be equal to both the numerator and the denominator must be the same. Please check below to understand this problem better.

These are all examples of ratios equivalent to 4:9

Hoped this helped!

Answer:

= your nose and eye and mouth

Answer:

16 pearls

Step-by-step explanation:

there are three boxes and each has five pearls so: 5 * 3 = 15 pearls

one pearl is outside of the small boxes but inside the huge box.

The number of pearls in the large box is 16.

Multiplication is the process of determining the product of a number through applying a set of mathematical rules.

The total number of pearls in the large box = total number of pearls in the small boxes + 1

(3 x 5) + 1 = 16.

To learn more about multiplication, please check: https://brainly.com/question/3385014

Answer:

(0, -2) and (1, 0)

Step-by-step explanation:

y = x² + x - 2 and y = 2x - 2    

  y = x² + x - 2  ⇔ do not change;       y = x² + x - 2

  y = 2x - 2        ⇔ multiply by -1  ;        -y = - 2x + 2  

Now add the two equations:  

     y = x² + x - 2

(+)  -y = - 2x + 2                  

      0 = x² - 2x + x  + 0      

       0 = x² - x            

        0 =  x (x - 1)    Factor out x

     0 = x;  0 = x - 1    Set each factor = to 0 and solve.

      x = 0;   x = 1    

  Substitution the value of x into both equations and solve for y

If x = 0                                                 If x = 1

y = (0)² + 0 - 2  ;   y = 2(0) - 2               y = 1² + 1 - 2  ;  y = 2(1) -2

y = 0 +0 -2      ;     y =  0 - 2                  y = 1 + 1 -2    ;  y = 2 - 2

  y = -2   ;    y = -2                                   y =  0           ;   y = 0

Solutions to the question:  (0, -2) and (1, 0)

Answer:

I think it's the 3rd one

x=10 ewe eee eeeee eee eeeee eee eeeee eee eeeee eee eeeee eee eeee

Answer:

x = -1

Step-by-step explanation:

Let me know in the comments if you need an explanation I tried to get it to you as quick as possible :)

Plus it looks in the picture like you only need the answer and you don't need work. :)

Answer:

No, it does not

Step-by-step explanation:

8/12 equals 0.66

think about it like 8 cubes filled in an ice-cubes maker out of 12 cubes in total. The maker is about to be filled.

8/20 equals 0.4

think about this like 8 cubes filled in an ice-cubes maker out of 20! cubes in total. That's a small number compared to the total number of cubes that could have been filled.

The florists charges and delivery are illustrations of linear functions

The amount made by the florist per delivery is y = 1.5 + 0.25x

For the charges, we have:

Represent the cost with y, and the number of miles with x.

The function that represents the amount the florist made is:

y = 5 + x

For the delivery, we have:

The function that represents the delivery is:

y = 3.5 + 0.75x

The amount made by the florist per delivery is then calculated as:

y = 5 - 3.5 + x - 0.75x

y = 1.5 + 0.25x

Read more about linear functions at:

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[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$920\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12 \end{cases}[/tex]

[tex]920=600e^{\frac{r}{100}\cdot 12}\implies \cfrac{920}{600}=e^{\frac{3r}{25}}\implies \cfrac{23}{15}=e^{\frac{3r}{25}}\implies \log_e\left( \cfrac{23}{15} \right)=\log_e\left( e^{\frac{3r}{25}} \right) \\\\\\ \ln\left( \cfrac{23}{15} \right)=\cfrac{3r}{25}\implies 25\cdot \ln\left( \cfrac{23}{15} \right)=3r\implies \cfrac{25\cdot \ln\left( \frac{23}{15} \right)}{3}=r \\\\\\ 3.5620\approx r\implies \stackrel{\%}{3.56}\approx r[/tex]

Answer:

$3.20

Step-by-step explanation:

16*0.20=3.20

sry but i dont know what an ALEKS calculator is

Step-by-step explanation:

Hi friend. Hope this helps you.

Stay blessed.

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