You make annual deposits of $8,500 into a savings account that pays an annual interest rate of 3.8%, with interest credited to the account annually. If you now have $461, 103.46 in the account, for how many years have you been investing money in this account?

Answer:

both

Step-by-step explanation:

it is equivalent to both because if you have 30:18 and divide both sides by 6 you will get 5:3 there for it is equivalent. for it not to be equivalent the to numbers both cant be divided by the same number and remain a whole number. also 30:18 can be divided by 3 because 30/3=10 and 18/3=6 therefor creating 10:6. overall, they are both equivalent to 30:18. hope it helps if its wrong let me know and ill try again :)

The equation after completing the square is 5(x - 9)^2 - 4(y^2 + 14y) = 422.

In the equation 5(x2−18x)−4(y2+14y)=175(x2−18x)−4(y2+14y)=17, complete the square on xx by adding 8181 within the first parenthesis.

The equation can be rewritten as:

5(x2−18x+81)−4(y2+14y)=17+5(81)5(x2−18x+81)−4(y2+14y)=17+5(81)

By adding 8181 within the first parenthesis, we are effectively completing the square for the xx terms. This step allows us to express the quadratic term x2−18xx2−18x as a perfect square (x−9)2(x−9)2. The equation can then be further simplified and written in the form of a conic section.

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Answer:

D. 41

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

First, convert - 1/41 to a decimal - 1/41 as a decimal which is just 1 divided by 41 which = 0.024390243902439 now multiply that by -41 and you get your answer.

Answer:

They claim that 90% of the times, the orders arrive in time.

Then, out of N orders, (90%/100%)*N of them will arrive in time.

Here we have that N = 20

then the number that arrives in time is:

(90%/100%)*20 = 18

Now, experimetally we see that 4 times her packages arrived after noon (so 16 times the packages arrived in time), so we can calculate the experimental percentage as:

(X/100%)*20 = 16

X = (16/20)*100% = 80%

so the percentages doesn't match, so it the claim is not really accurate, but this is a small sample, so if the number of times that she uses the delivery increases, we may see that the experimental percentage gets closer to the claimed percentage.

Answer: The acceleration of the bus can be calculated using the formula:

a = (v2 - v1) / t

where:

a = acceleration

v2 = final velocity = 306 m/s

v1 = initial velocity = 126 m/s

t = time = 3 seconds

Substituting the given values into the formula, we get:

a = (306 m/s - 126 m/s) / 3 s

a = 180 m/s / 3 s

a = 60 m/s^2

Therefore, the acceleration of the bus is 60 m/s^2.

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Answer: I think I cn help bt nt sure

Step-by-step explanation:

X° + 52° + 78° = 180°

X° + 130° = 180°

X° + 130° - 130° = 180° - 130 °

X° = 50°

M is <50°

The solution to the rational equation is k = 9.

Given is a rational equation 7/(k-8) + 4 = 11/(k-8), we need to solve for k,

To solve the rational equation 7/(k-8) + 4 = 11/(k-8), we'll begin by clearing the denominators.

Since both fractions have the same denominator (k-8), we can multiply every term by (k-8) to eliminate the denominators.

This gives us:

7 + 4(k-8) = 11

Now, let's simplify and solve for k:

7 + 4k - 32 = 11

Combine like terms:

4k - 25 = 11

Add 25 to both sides:

4k = 36

Divide both sides by 4:

k = 9

Therefore, the solution to the rational equation is k = 9.

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Complete question =

Solve the rational equation. Express numbers as integers or simplified fractions.

7 / (k-8) + 4 = 11 / (k-8)

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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Answer: 69.08 in

Step-by-step explanation:

The formula for circumference is:

2πr

If we substitute 3.14 for π, the formula is:

2(3.14)(11) = 69.08 in

Answer:

2386.0232

Step-by-step explanation:

Find the are, and then find the circumference.

Answer:

You would get your first ace at card 10.6 or about card 11.

All sides add up to the perimeter. The perimeter of the kite is 27 units then the correct option is C.

It is concerned with the geometry, region, and density of various 2D and 3D forms.

The Pythagoras theorem will determine the kite's length (x).

H² = P² + B²

H² = 15² + 8²

H² = 225 + 64

H² = 289

 H = 17

Then

\(\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5\)

And another length of the kite is 5 units.

Then the perimeter of the kite will be

Perimeter = 2(8.5 + 5)

Perimeter = 27

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Answer:27 units

Step-by-step explanation:

trust

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Using this formula, we can find a1 by plugging in a19 (the 19th term) and n=19: a19 = a1 + (19-1)(d) => -101 = a1 + 18(-119/17), Simplifying this equation, we get: a29 = -33, the value of a29 is -33.

Given two terms in an arithmetic sequence, to find the recursive formula, we need to find the common difference of the sequence first. This can be found by using the formula: common difference (d) = (a36 - a19)/(36 - 19) = (-220 - (-101))/(36 - 19) = -119/17.

Next, we can use the recursive formula for arithmetic sequences which is: an = a1 + (n-1)dwhere an represents the nth term in the sequence, a1 represents the first term, and d is the common difference that we just found.Using this formula, we can find a1 by plugging in a19 (the 19th term) and n=19: a19 = a1 + (19-1)(d) => -101 = a1 + 18(-119/17).

Simplifying this equation, we get: a1 = -101 + (18)(119/17) = 7.Next, we can use the formula again to find a29 (the 29th term) by plugging in a1 and n=29: a29 = a1 + (29-1)(d) => a29 = 7 + 28(-119/17)Simplifying this equation, we get: a29 = -33Therefore, the value of a29 is -33. Answer: a29 = -33.

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Answer:

SAS

Step-by-step explanation:

The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.

It is not SSS because we do not know the side lengths of FG and BC.

It is not AA because we do not know two angle measurements.

Answer:

238 D

Step-by-step explanation:

238 lol. 34 times 7 is 238

Answer:

D. There are 238 peanuts in each box.

Step-by-step explanation:

It is simple:

34x7=238

Please can I have brainliest I need 2 more brainliest to lvl up, so can I please, please, please have brainliest?!

Answer:

19

Step-by-step explanation:

therefore the answer is 19

Answer:

1.65 is the right number of SDs to use when constructing a 90% confidence interval because it corresponds to the upper 5th percentile of a normal distribution, which gives a 5% chance of the true population parameter being outside the interval.

First full question is this: What is the perimeter of the entire design?

Cameron makes a quilt design using four congruent

triangles as shown below.

ooo

O 46 cm

O 64 cm

O 108 cm

O 147 cm

9 cm

14 cm.    

ANSWER:  B) 64

The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

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The expression given in the task content can be evaluated and simplified to be equal to; sin²(x).

It follows from the task content that the result of the product given is to be determined.

Hence, the multiplication is as follows;

1 -cos(x) +cos(x) -cos²(x).

1 -cos²(x).

However, since sin²(x) + cos2(x) = 1; it therefore follows that;

1 -cos²(x) = sin²(x)

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Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

Answer:

1) 4-(-6) = 10

2) -10.3-(-7.79)= -2.51

3) -4+6 1/2= 2 1/2

4) -10.2+4.38= 5.82

5)

Step-by-step explanation:

1) A double - equals positive so change to

4+6=10

2) adding positive to negative makes it less negative

3) just change positions -4 from 6 1/2

4) makes it less negative

5) sorry I hat fractions can't do it

Answer:

3

Step-by-step explanation:

2 times 1 is 2 and then multiply 1/2 by 2 and you'll get 1 then add those two numbers together and you will get 3.  Note: The best way to do these types of things in multiplication is to split the numbers up among the decimal places so if you did 15 times 4 then an easy way to do it would be to split the 15 with 10 and 5 so then multiply the 10 by 4 and you get 40 now do the same to the 5 and you get 20 so now add those two numbers together and you get 60(This has nothing to do with the answer i just want to help make it easier for future problems such as this).

Answer:

3

Step-by-step explanation:

[Given]

2 * \(1\frac{1}{2}\)

[Make improper fractions and solve by multiplying across]

\(\frac{2}{1}*\frac{3}{2} =\frac{6}{2}=3\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

Answer:

b

Step-by-step explanation:

Answer:

5/-6 divided 5/3 = -0.5