Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?​

Answer:

Y = 27.8°

Step-by-step explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

Answer:

does any body have c?

Step-by-step explanation:

Answer:

Step-by-step explanation:

z is a non negitave real number

Step-by-step explanation:

7(3) - 3(4) > 10

21 - 12 > 10

9 > 10

0 > -1

The solution for the inequality is not in the given options.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 7x – 3y > 10

Seven x minus three times of y greater than ten

Now let us consider all the options to find the ordered pair of inequality.

When we substitute x and y value it should be greater than 10.

(1,2)

7(1)-3(2)>10

7-6>10

1>10 NO

(1,0)

7(1)-3(0)>10

7>10 NO

(3,4)

7(3)-3(4)>10

21-12>10

9>10 NO

(1,-1)

7(1)-3(-1)>10

7+3>10

10>10 NO

Hence the solution for the inequality is not in the given options.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Answer:

4

Step-by-step explanation:

4 to the 4th power is 256

Answer:

128cm²

Step-by-step explanation:

To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.

Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)

                      = 128cm²

Answer:

you have the highest chance of getting peanuts

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

Answer:

your answer will be C. rotation

Step-by-step explanation:

hope it helps...

have a great day!

The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.

For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).

Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.

Learn more about rotation of triangles here:

https://brainly.com/question/11709244

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

Step-by-step explanation:

The lateral area is

[tex]42\pi[/tex]

The surface area is

[tex]60\pi[/tex]

The volume is

[tex]63\pi[/tex]

Answer:

(B)-4

Step-by-step explanation:

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

Answer:

sin D

Step-by-step explanation:

i think

or cos D

Answer:

24/25=sin F

Cos D = 24/25

Step-by-step explanation:

Answer:

2014 price was $49,091

Step-by-step explanation:

I'm assuming you want to solve for 2014 year price...

2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...

p×110%=54,000

p=54,000/1.1

p=49,090.90

Answer:

Step-by-step explanation:

Remark

I take it you are studying the sine law. If that is so, Then it will be set up as

Formula

x/sin(53) = 7 / sin(44)     Multiply both sides by Sin(53)

Solution

Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)

x = 7*Sin(53)/Sin(44)

x = 7 * 0.7986/0.6947

x = 8.0848

Note:

The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.

The sine law can also be set up as two ratios side opposite / sin(Angle).

Answer:

P(A or B) = 0.75

Step-by-step explanation:

For Venn probabilities, we have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

We have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]

P(A or B) = 0.75

9514 1404 393

Answer:

  78 in²

Step-by-step explanation:

The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...

  A = bh

  A = (12 in)(6.5 in) = 78 in²

Answer:

-1

Step-by-step explanation:

Answer:

g(-1) = 4

Step-by-step explanation:

Given:

g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]

To find g(-1), substitute x = -1

Thus:

g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]

g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{12}{3} [/tex]

g(-1) = 4

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.