In 2007, the fdic’s insurance limit was $100,000 per person per bank. at that time, if kit had three separate $50,000 cds at bank r, a $60,000 checking account and a $140,000 money market account at bank s, and an $80,000 savings account at bank t, how much of kit’s money was fdic insured? a. $230,000 b. $280,000 c. $300,000 d. $390,000 please select the best answer from the choices provided a b c d

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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The ratio of Chinese Yuan to Saudi Riyal is given as follows:

0.19 : 0.2857.

The ratio between two amounts a and b is given by the division of a by b, applying a proportion.

One U.S. dollar is equivalent to about 5.25 Chinese yuan, hence the value of one Chinese Yuan is given as follows:

1/5.25 = $0.19.

One U.S, dollar is equivalent to about 3.5 Saudi riyal, hence the value of one Saudi riyal is given as follows:

1/3.5 = $0.2857.

Then the ratio is given as follows:

0.19 : 0.2857.

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No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

0.05 metrs = 5 cetimeters

Step-by-step explanation:

1 meter = 100 centimeters

0.05 meters = 0.05 * 100 = 5 centimeters

Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

6+5=11

(sum means addition)

Hope this helps! :)

Answer:

36^4=1679616

Step-by-step explanation:

6 squared the to the power of 4

The value of x is 6

The possible error could your friend have made to get x​ = -2 is Your friend should have added 5x and 4x to get a sum of 9​x, but instead got a sum of 8x. Option C

Algebraic expressions are described as expressions that are composed of variable, terms, coefficients, factors and constants.

These expressions are also made up of mathematical or arithmetic operations. These operations include;

From the information given, we have the equation;

5x + 4x - 68 = 34 - 8x

collect like terms

5x + 4x + 8x = 34 + 68

Add or subtract the like terms

17x = 102

Divide both sides by the coefficient of the variable, we get;

17x/17 = 102/17

x = 6

Hence, the value is 6

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i) The counting numbers which are multiples of 5 and less than 50 can be represented using the roster method as:

{5, 10, 15, 20, 25, 30, 35, 40, 45}

ii) The set of all-natural numbers x for which x+6 is greater than 10 can be represented as:

{5, 6, 7, 8, 9, 10, 11, 12, 13, ...}

iii) The set of all integers x for which 30/x is a natural number can be represented as:

{-30, -15, -10, -6, -5, -3, -2, -1, 1, 2, 3, 5, 6, 10, 15, 30}

Note that in the third set, we include both positive and negative integers that satisfy the condition.

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The largest possible value in the list is 35.

What is mean, median and mode?

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

Given: There is a list of 11 positive integers.

Has a mean of 10, a median of 9 and a unique mode of 8.

Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).

If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.

The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.

The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.

Therefore, the largest possible value of an integer in the list is, 35.

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The future value of the growing annuity, to the nearest cent, is R 223,640.78.

In this scenario, regular annual deposits are made into a savings account for fifteen years. The first deposit is R9000, and starting from the second deposit, the amounts are increased by 5% each year. The interest rate earned on the savings account is 6.6% per annum, compounded monthly. We need to calculate the future value of this growing annuity.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Regular payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the regular payment (deposit amount) for each year is as follows:

Year 1: R9000

Year 2: R9000 * (1 + 0.05) = R9450

Year 3: R9450 * (1 + 0.05) = R9922.50

We can see that the deposit amount increases by 5% each year.

Now, let's calculate the future value of the annuity using the formula mentioned above.

P = R9000 (first deposit)

r = 0.066 / 12 (monthly interest rate)

n = 15 (number of years * 12, as the interest is compounded monthly)

FV = R9000 * [(1 + 0.066 / 12)^(15*12) - 1] / (0.066 / 12)

Calculating this expression will give us the future value of the growing annuity. Rounding it to the nearest cent, we find that the future value is approximately R 223,640.78.

In summary, the future value of the growing annuity, with regular annual deposits increasing by 5% each year and an interest rate of 6.6% per annum compounded monthly, is R 223,640.78.

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Answer:

45 I think is the answer it's my guess

To ensure that a sample proportion (0.1) equals a population proportion (0.01), the required sample size depends on the desired level of confidence and the acceptable margin of error.

Determining the appropriate sample size involves considering factors such as the desired level of confidence, the acceptable margin of error, and the estimated population proportion. In this case, the desired level of confidence is not specified, so we will assume a commonly used level of 95% confidence. The margin of error is the maximum allowable difference between the sample proportion and the population proportion. To calculate the required sample size, we can use the formula:

n = (Z^2 * p * (1-p)) / E^2

where:

n represents the required sample size

Z is the Z-score associated with the desired level of confidence (for 95% confidence, Z ≈ 1.96)

p is the estimated population proportion (0.01 in this case)

E is the desired margin of error

Since the goal is for the sample proportion to equal the population proportion (0.1 = 0.01), the estimated population proportion would be 0.01. The margin of error, E, would be 0.1 - 0.01 = 0.09. Plugging these values into the formula, we get:

n = (1.96^2 * 0.01 * (1-0.01)) / 0.09^2 ≈ 43,279

Therefore, a sample size of approximately 43,279 would be required to ensure that the sample proportion equals the population proportion with a 95% confidence level and a margin of error of 0.09. It's important to note that these calculations assume a simple random sample and other statistical assumptions hold true.

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The perimeter οf the square is fοund by adding up the Iengths οf aII fοur sides, which in this case is 7cm + 7cm + 7cm + 7cm = 28 centimeters.

A triangIe is a three-sided pοIygοn with three angIes. It is a fundamentaI geοmetric shape and is οften used in geοmetry and trigοnοmetry. A triangIe is defined by its three sides and the three angIes fοrmed by thοse sides.

A triangIe cannοt have sides that are bοth 7cm Iοng. Hοwever, if yοu meant tο ask fοr the area and perimeter οf a square with sides οf 7cm, then:

The area οf the square is caIcuIated by muItipIying the Iength οf οne side by itseIf, sο the area οf the square is 7cm x 7cm = 49 square centimeters.

Therefοre, the perimeter οf the square is fοund by adding up the Iengths οf aII fοur sides, which in this case is 7cm + 7cm + 7cm + 7cm = 28 centimeters.

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Complete Question:

What is the area and perimeter of a 7cm x 7cm triangle?​

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

-89c+56.7=145.7is correct answer

Answer:

20cm

Step-by-step explanation:

If each side of the square = 5 cm, 5 cm times 4 sides = 20 cm.

Answer:

P=20cm

Step-by-step explanation:

To find the perimeter of a square, you just add all the four sides.

Because it says the sides are 5cm, and squares always have the same length, you just:

5+5+5+6=20cm

So, the perimeter of this square is 20cm.

Hope this helps, and have a nice day:)

Answer:

D

Step-by-step explanation:

The vertex is at (-2,4), so substituting into vertex form, only C and D match.

Also, the graph opens down, so the coefficient of x² is negative.

This eliminates C, leaving us with D

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

2.49556

Step-by-step explanation:

Answer:

2.49556

Step-by-step explanation:

0.356

× 7.01

---------

2.49556

Answer:

B

Step-by-step explanation:

Answer:

\(A=\) $\(966.306\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^n^{t}\)

where

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t= 5\) \(years\)

\(P=\) $\(600.00\)  

\(r=10\)% \(=10/100=0.10\)

\(n=1\)

substitute in the formula above

\(A=600(1+\frac{0.10}{1})^1^*^5\)

\(A=600(1.10)^5\)  

\(A=\) $\(966.306\)

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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Since the distance from a point to point C is 1 and the distance from that same point to point B is 4, the point must be: C. point D.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

From the number line shown above, we have:

Distance = 4 + (-1)

Distance = 4 - 1

Distance = 3 (point D).

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We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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Answer:

-1999999999.63

Step-by-step explanation:

Answer:

-1999999999.63

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Step-by-step explanation: