A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually

It sounds like you're talking about an integral, namely

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]

Substitute u = x ³ + 9, so that du = 3x ² dx. Then

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]

Answer:

19.8 units

Step-by-step explanation:

BC = 5

AD = 8

CD = 1²+3²=c²

1+9=c²

√10=c

c=3.1627766

AB = 2²+3²=c²

4+9=c²

√13=c

c=3.6

5+8+3.6+3.16=19.76

Answer:

Step-by-step explanation:

2XV=WY

2(2x+4)=7x-1

4x+8=7x-1

3x=9

x=3

XV=2x+4=10

WY=7x-1=20

Answer:

ways of thinking,behaviour,perciption

Answer:

5

Step-by-step explanation:

Answer:

80 TShirts in 20 minutes

Step-by-step explanation:

32/8 = 4 Tshirts in a minute

4 x 20 = 80 TShirts in 20 minutes

Answer:

The answer is 1 1/2 < 2

Step-by-step explanation:

If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5

Answer:

40

Step-by-step explanation:

6=110 1=40 because it's not gonna be a higher character

Answer:The simplest way to calculate a finance charge is: balance X monthly rate

Step-by-step explanation:

i thinkk

500 X .015 = $7.50

The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

The finance charge is the product of an average daily balance to the monthly interest rate.

finance charge = balance x monthly rate

The simplest way to calculate a finance charge = balance x monthly rate

= 5,600 x 0.0135

= $75.6

Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

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Answer:

the standard deviation of the residuals

Step-by-step explanation:

The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.

The option that will increase if the football players were removed from the data set is the standard deviation of the residuals

It should be noted that standard deviation simply means the difference between the observed data and the predicted values.

In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.

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Answer:

$4.26

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Answer:

b = 9cm is the answer.

Step-by-step explanation:

a = 12cm

b = ?

c = 15cm

By using the Pythagoras theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9cm.

∴ b = 9cm is the length of the missing leg.

Answer:

Step-by-step explanation:

Answer:

k=44

Step-by-step explanation:

Step-by-step explanation:

³93521586335445555554555554488807799654

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

Answer:

I think that it would be b 32

Answer:

answer is D i believe

Step-by-step explanation:

Answer:

40x4x<60

x<5

Step-by-step explanation:

40x4x<60

4x<60-40

4x<20

x<20÷4

x<5

Answer:

6

Step-by-step explanation:

because 385,604 there is 6 digits

Answer: Jessica can use her measuring cup 11 times.

(hope this helps!)

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

Answer:

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier

Step-by-step explanation:

Answer:

Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:

9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Answer:

D

Step-by-step explanation:

12-9 = 3 square unit

10 x 3 = 30 square unit

9×6 = 54 square unit

54+30 = 84 square units

and thats the answer

The area of the polygon is 84 square units, option D is correct.

The area of Rectangle is length times of width.

The given polygon has two rectangles.

Area of rectangle with length 9 and width is 6 units

Area of rectangle 1 =9×6

=54 square inches

Now Area of rectangle with length 10 and width is 3 units

Area of rectangle 2 =10×3

=30 square inches

Total area = 54+30

=84 square units

Hence, the area of the polygon is 84 square units, option D is correct.

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Answer:

Hi it's down below! Hope it helps

Step-by-step explanation:

1) The angles are Supplementary

This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3.  The angle above angle"5x+3" is the same as 7x+9.

2) They are both supplementary

They form 180°

3)180° = 12x+12°

4) Solving that:

180° - 12° = 12x

168° = 12x

x = 168°/12

x = 14°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

the answer is 14°

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

OD

Step-by-step explanation:

because it gives us error and there's no number

The correct option is (D) .

In all these options , they  are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .

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Answer:

3 11/21

Step-by-step explanation:

2 2/3=(2*3+2)/3=8/3

8/3+6/7=56/21+18/21=74/21 or 3 11/21