Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $

Answer:

Yes. Its the same shape. It doesnt need to be the same size to be similar

Step-by-step explanation:

Answer: 8 times.

Step-by-step explanation:

I will answer in English:

This says:

The volume of a cube is 125cm^3

How many times the volume will increase if we duplicate the lenght of the side?

If L is the lenght of the side, we have that the volume of the cube is:

V = L^3

If we duplicate the lenght of the side, the new volume is:

V = (2*L)^3 = 8*L^3

So we can see that the volume of the new cube is 8 times the volume of the previous cube.

Now,  we can do the math, for our original cube we have:

L^3 = 125cm^3

L = 5cm

the new cube has L' = 2*L = 10cm

The volume of this cube is:

V' = L'^3 = 10cm^3 = 1000cm^3

the ratio V'/V is:

1000cm^3/125cm^3 = 8

Answer:

5/-6 divided 5/3 = -0.5

Answer:

2.4 × 101

Step-by-step explanation:

that is 24 in scientific notation

Answer:

24 * 10^1

Step-by-step explanation:

Hope this helps. :)

The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

A math question If an equation is written in standard form.

The factorization method sometimes gets difficult from the big number and in the case of the complex root. So, in that case, we use other methods.

In the Isolate the Square, we can find the roots of the equation. But the formula is also derived by this method. So, we do not even prefer this, method.

In this Quadratic Formula method, the formula is derived from the above method which is to Isolate the Square. Then this can be used always.

The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.

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There are 9000 4-digit numbers from 1000 to 9999. There are 10,000 5-digit numbers that end in I. There are 1,000 5-digit numbers that end in 0. There are 10,000 5-digit numbers that are multiples of 10.

(a) To determine the number of 4-digit numbers from 1000 to 9999, we subtract the starting point (1000) from the ending point (9999) and add 1 since we're including both endpoints. Therefore, the number of 4-digit numbers is:

9999 - 1000 + 1 = 9000.

(b) To count the number of 5-digit numbers that end in I, we need to determine the possible values for the other four digits. For each of the other four digits, there are 10 possible choices (0-9). Therefore, the number of 5-digit numbers ending in I is:

10^4 = 10,000.

(c) To count the number of 5-digit numbers ending in 0, we again need to determine the possible values for the other four digits. For each of the other four digits, there are 10 possible choices (0-9). However, for the last digit, it must be 0. Therefore, the number of 5-digit numbers ending in 0 is:

10^3 = 1,000.

(d) To count the number of 5-digit numbers that are multiples of 10, we need to determine the possible values for the other four digits. For each of the other four digits, there are 10 possible choices (0-9). Again, the last digit must be 0 since it is a multiple of 10. Therefore, the number of 5-digit numbers that are multiples of 10 is:

10^4 = 10,000.

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Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

To find the value of "a" in the inequality P(-a < z < a) = 0.4314, where z scores are normally distributed with a mean of 0 and a standard deviation of 1, we need to determine the corresponding z-score for the given probability.

Since z scores follow a standard normal distribution with a mean of 0 and a standard deviation of 1, we can use the properties of the standard normal distribution to solve the problem.

The probability P(-a < z < a) represents the area under the standard normal curve between -a and a. Since the standard normal distribution is symmetric, this probability is equivalent to the area under the curve to the right of "a" minus the area to the left of "-a".

By looking up the cumulative probability 0.4314 in a standard normal distribution table, we find the corresponding z-score to be approximately 1.7725.

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60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

To solve this problem, we need to use the formula for standard deviation:
z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, we know that the mean score is 82, and your exam score is 2.12 standard deviations below the mean. So we can set up the equation:
z = (x - 82) / σ = -2.12

Now we need to find the possible values of x (your exam score) that satisfy this equation. We can rearrange the equation to solve for x:
x = z * σ + μ

Plugging in the values we know, we get:
x = -2.12 * σ + 82

We don't know the value of σ, so we can't solve for x exactly. But we can use some logic to eliminate some of the answer choices.

Since your exam score is below the mean, we know that x < 82. That means we can eliminate answer choices (a) and (b), since they are both above 82.

To eliminate answer choices (c) or (d), we need to know whether 2.12 standard deviations below the mean is less than or greater than the value of σ.

If σ is relatively small, then a score that is 2.12 standard deviations below the mean will be much lower than 70 or 80. But if σ is relatively large, then a score that is 2.12 standard deviations below the mean could be closer to 70 or 80.

Unfortunately, we don't know the value of σ, so we can't say for sure whether (c) or (d) is a possible answer. However, we can make an educated guess based on the range of possible values for σ.

Since the standard deviation of exam scores is typically in the range of 10-20 points, we can assume that σ is at least 10.

With that assumption, we can calculate the minimum possible value of x:
x = -2.12 * 10 + 82 = 60.8

Since 60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

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Answer:

Random sample

Step-by-step explanation:

thats the term for surveying people

Answer:

k = 30

Step-by-step explanation:

an equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 30x ← is in this form

with k = 30

The relative frequency of getting a 5 on the next roll is c.) 8 over 25

From the question, we have the following parameters that can be used in our computation:

Number of times = 25 times

Occurrence of five = 8 times

The above parameters mean that

Relative frequency = Occurrence of five/Number of times the dice is rolled

Using the above as a guide, we have the following:

So, we have the following representation

Relative frequency = 8/25

Hence, the relative frequency is 8/25

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Answer:

w(-6) = 8

Step-by-step explanation:

w(a) = -2a – 4

Let a = -6

w(-6) = -2(-6) – 4

Multiply

      = 12 -4

Subtract

    = 8

Answer:

...

Step-by-step explanation:

w(a) = -2a - 4

w(-6) = subsitute value // -2(-6) - 4 = 12 - 4 = 8

Answer:

They just have to go, 'cause they don't know wack

Step-by-step explanation:

Answer:

Step-by-step explanation:

-31

Answer:

-31

Step-by-step explanation:

just enter -5 into x and solve

Subtracting 2nd equation from the 1st, we get:    3b = -18     b = -6 Putting the value of b in a + b = -14, we get:   a - 6 = -14   a = -8Therefore, the values of a and b are -8 and -6, respectively.So, the required values of a and b are -8 and -6.

Given,  v

= au + bw, where u

= 1, 2 and w

= 1, −1 . v

= -14, -10Let's find a and b.Using the given equation, v

= au + bwPutting the given values of v, w, and u, we get:    -14

= a (1) + b (1)    -10

= a (2) + b (-1)  Simplifying the equation, we get   a + b

= -14     2a - b

= -10 Multiplying equation (1) by 2, we get    2a + 2b

= -28     2a - b

= -10.  Subtracting 2nd equation from the 1st, we get:    3b

= -18     b

= -6 Putting the value of b in a + b

= -14, we get:   a - 6

= -14   a

= -8 Therefore, the values of a and b are -8 and -6, respectively.So, the required values of a and b are -8 and -6.

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In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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By applying the concept of finite sum and the properties of the series, we conclude that the finite sum \(p = \sum \limit_{x=1}^{3} 2^{x}+ 2\) is equal to the value of 34.

Let be a sum of the form \(p = \sum\limits_{i= 1}^{n} a_{i}\), where n represents an integer. This kind of sum represents a finite sum, whose expanded form is presented below:

p = a₁ + (a₁ + a₂) + (a₁ + a₂ + a₃) + ... + (a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ)     (1)

If we know that \(p = \sum \limit_{x=1}^{3} 2^{x}+ 2\), then the result of the finite sum is:

p = (2 + 2¹) + (2 · 2 + 2¹ + 2²) + (3 · 2 + 2¹ + 2² + 2³)

p = 4 + (4 + 6) + (6 + 14)

p = 4 + 10 + 20

p = 34

By applying the concept of finite sum and the properties of the series, we conclude that the finite sum \(p = \sum \limit_{x=1}^{3} 2^{x}+ 2\) is equal to the value of 34.

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Answer:

Answer should be 1/4, since it's not there I would suggest 1/2.

Step-by-step explanation:

Its rise/run therefore it going up one and moving four.

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

Answer:

x = 4/5

Step-by-step explanation:

a number n multiply by 2/3  
===>  (2/3)n = 2n/3

then divide by 5/6
==> 2n/3 ÷ 5/6

Dividing by a fraction is multiplying by the reciprocal of the fraction

So
2n/3 ÷ 5/6 = 2n/3 x 6/5 = 12n/15

12n/15 can be reduced by dividing numerator and denominator by 3

giving 4n/5

Multiplying x by n ==> xn

So xn = 4n/5

Crossing out n from both sides:
x = 4/5

Answer

Answer:

B. 20 meters per second

Step-by-step explanation:

The car is going 400 meters in 20 seconds, let's simplify that!

STEP 1

400/20=20

( / stands for division)

For an easier understanding way, here:

There will be a picture attached to this answer, look at that for understanding better!

STEP 2

Now, to understand a bit better, the 400 gets divided into 20 by 20 times, and the 20 gets divided into 20   1 time. So, there fore.....

FINAL ANSWER:

We get the answer that if a car is moving 400 meters per 20 seconds, that means it is moving 20 meters per one second.

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1: 4(2x-10)=8

2x-10=8/4

2x=2+10

x=12/2=6

Answer:

2: 2(2x-10)=8

2x-10=8/2

2x=4+10

x=14/2=7

Step-by-step explanation:

hear is your answer in attachment