9000 dollars is placed in an account with an annual interest rate of 8% how much will be in the account after 17 years to the nearest cent

The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are

sin A = 9 / 41

cos A = 40 / 41

Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.

Therefore,

sin A = opposite / hypotenuse

cos A = adjacent / hypotenuse

tan A = opposite / adjacent

Using Pythagoras theorem, let find the hypotenuse side

c² = 40² + 9²

c = √1681

c = 41

Therefore,

sin A = 9 / 41

cos A = 40 / 41

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Answer:

x=7

Step-by-step explanation:

x(x-2) (x+4) =385

distribute the x and solve

The value of x is 8 in.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

Length = x + 4

Width = x

Height = x - 2

The volume of the rectangular prism = 385 in³

The volume of the rectangular prism = length x width x height

Now,

length x width x height = 385

(x + 4) x (x - 2) = 385

(x + 4) (x² - 2x) = 385

x³ - 2x² + 4x² - 8x = 385

x³ + 2x² - 8x = 385

This is a cubic polynomial.

f(x) = x³ + 2x² - 8x - 385

f(x) = a³ + bx² + cx + d = 0

Using the calculator we get,

Roots:

x = -3.20181 + 5.96339 i (rejected)

x = -3.20181 - 5.96339 i (rejected)

x = 8.40362 = 8

Thus,

The value of x is 8 in.

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Answer:

hope this will help you........

Answer:

32 1/3

Step-by-step explanation:

Answer:

The answer is [tex]31\frac{9}{10}[/tex].

Step-by-step explanation:

Make sure to follow this formula

[tex]2(lw)+(lh)+(wh)[/tex]

[tex]2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}[/tex]

Answer:

x = 31.

Step-by-step explanation:

93 = x + 62  (External Angle Theorem).

x = 93 - 62

= 31

The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).

From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.

Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:

f(x)=2x³ +3x²

= 2(-2)³ + 3(-2)²

= -16 + 12

= -4

Therefore, the ordered pair will be (-2, -4).

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Answer:

25

Step-by-step explanation:

Please refer to the picture;

Answer:

answer is (-2,1), (-1,4), (1,2)

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Answer:

0.8 miles

Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Airport to Arcadia is one leg of right triangle = x

Airport to Stafford is leg2 of right triangle  = 7.6

9.2 miles is hypotenuse of right triangle

Pythagorean theorem:

x^2 + 7.6^2 = 9.2^2

x = ~ 5.2 miles

Answer:

Number of terms = 4 (there are four terms)

coefficients = the coefficient of ab = 4

✓✓✓ ✓✓✓ ✓ b = -5

✓✓✓ ✓✓✓ ✓ m = 1

constant terms = 3

Hope it helped!!

Number of terms, Coefficients, Constant terms are 4,2 and 1

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

3 + 4ab - 5b + m

Number of terms here are

=4

Coefficients we have

=2

Constant terms

=1

Therefore, the answer to this algebra will be 4,2 and 1

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A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. The ratio of the height of pyramid A to pyramid B is 0.064.

A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. A lateral face is formed by the base edge and top of each triangle.

The volume of a pyramid is given by the formula,

Volume of the pyramid = (Length×Width×Height)/3

                                       = (Area of base ×Height)/3

If the area of the base of the two pyramids is the same, then the ratio of the volume of the two pyramids will be,

[tex]\dfrac{\text{Volume of Pyramid A}}{\text{Volume of Pyramid B}} = \dfrac{60\rm\ mm^3}{937.5\rm\ mm^3}\\\\\\\dfrac{3 \times \text{(Area of base})_a \times h_a}{3 \times \text{(Area of base})_b \times h_b}= \dfrac{60}{937.5}\\\\\\\dfrac{h_a}{h_b} = 0.064[/tex]

Hence, the ratio of the height of pyramid A to pyramid B is 0.064.

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Answer: 60

Step-by-step explanation:

See

Hence

m<COB=60°

Answer:

(15squrt3)/2

Step-by-step explanation:

cos30=x/15

Answer: The mode of the data in the line plot is the data with the highest number of marks

The mode of the data is 8

How to determine the mode?

From the line plot, we have the following frequency table:

Number        Frequency

5                       2 marks6                       4 marks.

7                        3 marks

8                        6 marks

9                         2 marks

10                         4 marks

11                         2 marks

The number with the highest mark is 9

Hence, the mode of the data is 8

Step-by-step explanation:

Answer:

Given the equations, I plotted 2 lines.

Line 1               Line 2

 x  |  y                x  |  y  

 0  | 101             0  |  -5

  1  |  101             1  |  -6

Answer:

2.96 cm to the nearest hundredth.

Step-by-step explanation:

V = 3.14 r^2 h

226 = 3.14 * r^2 * 8.2

r^2 = 226 / (3.14*8.2)

r^2 = 8.7774

r =  2.96 cm to the nearest hundredth.

Answer:

12% decrease

Step-by-step explanation:

given:

In 2017, a chocolate bar had a mass of 250g.

In 2018, the mass of the chocolate bar was reduced to 220g.

The difference in mass is 250 - 220 = 30g

30 / 250 = 0.12 which is how much out of the 250g

0.12 x 100 = 12

12% decrease in the mass of chocolate bars from 2017 to 2018.

A percentage is a number or ratio expressed as a fraction of 100.

According to the question, it is given that

The mass chocolate bar had a mass of 250g in 2017

The mass of the chocolate bar was reduced to 220g in 2018

We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=(250-220)/250×100

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=30/250×100

=0.12×100

=12%

Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.

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Answer:

8 cm

Step-by-step explanation:

because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm

Answer:

8cm

Step-by-step explanation:

step1: 6/3=2

volume of a cube =x*x*

v

:=8cm

v=2×2×2

vvv v

Step-by-step explanation:

The sum of angle at a point is 360° so...

310° + a = 360°

a = 360° - 310°

a = 50°

Now...

here b and 180° are supplementary angle so ....

b = 180° - 80°

b = 100°

Again...

The sum of all angle of triangle is 180° so...

100° + 50° + c = 180°

150° + c = 180°

c = 180° - 150°

c = 30°

Hence...the value of a is 50° , b is 100° and c is 30°...

Answer:

hope it help you

Step-by-step explanation:

[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]

Answer:

6x

Step-by-step explanation:

Take x as the common factor and calculate.

Step-by-step explanation:

dk if this makes sense

Answer:

60 degrees

Step-by-step explanation:

since its a vertically opposite angle so angle 1 will equal angle 3

Answer:

60

Step-by-step explanation:

Step-by-step explanation:

the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.

so,

f'(x) = 2x + b

and then

2x + b = 0

we know, x = 20 for the minimum

2×20 + b = 0

40 + b = 0

b = -40

therefore, the actual function is

f(x) = x² - 40x + 164

the target format is

f(x) = (x - h)² + k = x² - 2hx + h² + k

so,

-40x = -2hx

-40 = -2h

h = 20

and

h² + k = 164

20² + k = 164

400 + k = 164

k = -236

Answer: 56

Step-by-step explanation:

you multitouch answers I think

Answer:

964.

Step-by-step explanation:

The first digit after the decimal point is 6 so we round up the 3.

By using partial products to multiply, 52 × 6 is 312

From the question, we are to use partial products to multiply 52 × 6

The partial multiplication is shown below

5 2

× 6

300       6 × 5 tens (That is, 6 × 5 × 10 = 300)

+ 12       6 × 2 ones (That is, 6 × 2 × 1 = 12)

312  

Hence, by using partial products to multiply, 52 × 6 is 312

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