What is 5.76 as a whole

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

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

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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a. Using the standard normal distribution, we can standardize the variable X as P(X > 13) = P(Z > 1.5) = 0.0668. b. Using the standard normal distribution table or a calculator, we can find that:

P(Z < -1) = 0.1587. c. Using a standard normal distribution table or a calculator, we can find that:

P(1.9 < Z < 2.3) = 0.0808

a. Using the standard normal distribution, we can standardize the variable X as follows:

Z = (X - μ) / σ

where μ = 10 and σ = 2 in this case. Thus,

Z = (13 - 10) / 2 = 1.5

We can then use a standard normal distribution table or a calculator to find the probability:

P(X > 13) = P(Z > 1.5) = 0.0668 (rounded to four decimal places)

b. Similarly, we can standardize the variable X as follows:

Z = (X - μ) / σ

We want to find the probability that X is less than μ - σ, which can be written as:

P(X < μ - σ) = P((X - μ) / σ < -1)

Using the standard normal distribution table or a calculator, we can find that:

P(Z < -1) = 0.1587

c. We are asked to find the probability that 0.48 < Z < 2.3 and Z > 1.9. We can break this up into two parts:

P(0.48 < Z < 2.3 and Z > 1.9) = P(1.9 < Z < 2.3)

Using a standard normal distribution table or a calculator, we can find that:

P(1.9 < Z < 2.3) = 0.0808 (rounded to four decimal places)

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Answer:

V = 20.64573mm^3

Step-by-step explanation:

a = 15/5 = 3

h = 4

V = (5/12) tan(54) h a^2

V = (5/12) tan(54) (4) (3)^2

V = 20.64573

If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

Answer:

Expression : $462.30 * m

Answer:

$4.60

Step-by-step explanation:

1 lb ---> 80 cents

5 3/4 lb ---> 5 3/4 * 80 cents

\( 5 \dfrac{3}{4} \times 80 = \)

\( = \dfrac{23}{4} \times \dfrac{80}{1} \)

\( = \dfrac{23 \times 80}{4 \times 1} \)

\( = \dfrac{1840}{4} \)

\( = 460 \)

460 cents = $4.60

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Answer:

Slope = -2/1 = -2

Step-by-step explanation:

You can look at the points on the image and see the "directions" to get from one point to the next: you go down 2 and over 1. This is -2/1, which is -2.

You could also pick and two points and do a calculation. It can be any two points on the line and it will come out the same.

For example (-1,3) and (0,1) are two points on the line. To find slope, subtract the y's and put that on top of a fraction, then subtract x's and put that on the bottom.

3 - 1 goes on top.

-1 - 0 goes below.

3-1 / -1 - 0

2/-1

= -2

Slope = -2

Hey there!

7π/8

= 7(3.141593)/8

= 2.748894

3.141593 ≈ 3.14

= 7(3.14)/8

= 21.98/8

= 21.98 ÷ 8

= 2.7475

Answer: 2.748894 WHICH IS APPROXIMATELY 2.7475

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer: Long answer- 2.748893572

              Short answer- 2.7475

Step-by-step explanation:

Long Answer:

7(3.141592654)/8

Step 1: 7 x 3.141592654= 21.99114858

Step 2: 21.99114858/8= 2.748893572

Short Answer: 7(3.14)/8

Step 1: 7x3.14= 21.98

Step 2: 21.98/8= 2.7475

Answer:

Is there supposed to be a picture?

a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

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All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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The expression to represent the number of hermit crabs Jada found is:

1/3z

Given, Jada leaves the beach with some seashells.

One out of every three of the shells turns out to contain a hermit crab.

we are asked to determine the  expression to represent the number of hermit crabs Jada found.

Let z represent the total number of seashells she collected.

Hence the expression is:

z × 1/3

= 1/3z

So the total number of seashells Jada collected are 1/3z.

Hence we get the answer as 1/3z

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We can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.

What is the percent change?

Percentage change is a way to describe the difference between an old value and a new value, expressed as a ratio and then multiplied by 100.

To estimate the percent change in the number of club members, we can use the percent change formula:

percent change = (new value - old value) / old value x 100%

where the "old value" is the number of club members last year and the "new value" is the number of club members this year.

Plugging in the numbers we have:

percent change = (33 - 17) / 17 x 100%

percent change = 16 / 17 x 100%

percent change ≈ 94.1%

Therefore, we can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.

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Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

-1/4

Step-by-step explanation:

Answer:

the probability of getting an even numbers out of this set is 1/2

Step-by-step explanation:

The set of numbers are: 10

1,2,3,4,5,6,7,8,9,10

Even Numbers: 5

2,4,6,8,10

Probability = \(\frac{NumberOfFavourableOutcomes}{TotalNumberOfOutcomes}\)

P = \(\frac{Even Numbers}{Total Numbers}\)

P = \(\frac{5}{10}\)

P = \(\frac{1}{2}\)

So, the probability of getting an even numbers out of this set is 1/2

Answer:

The probability of this set of numbers is 1/2.

Step-by-step explanation:

Probability is the odds of an event happening. It is expressed by writing it as a fraction, decimal, or a percent.

The formula for probability is the number of favorable outcomes divided by the total number of outcomes. In this case, we have odd and even numbers. The even numbers in this set are 2, 4, 6, 8, and 10.

These are the favorable outcomes.

Since there are 5 even numbers, there are 5 favorable outcomes.

There are total of 10 outcomes. Therefore P(Even number)= 5/10.

Don't forget to always simplify. You can divide the numerator and denominator by 5. 5 divided 5 is 1 and 10 divided by 5 is 2.

Therefore, the probability of choosing an even number from this set of numbers is 1/2.

I hope this helps, and I hope you enjoy the rest of your day!

Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

Answer:

459.54

Step-by-step explanation:

46(9.99)

=459.54

Answer:

$159.89

Step-by-step explanation:

36 hours + 10 hours = 46

14.99 * 10 = 149.9

(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89

$9.99 + $149.9 = $159.89

$159.89

Answer:

13.5 miles or 27/5 miles

Step-by-step explanation:

2 7/10 is equal to 2.7  If she plans to run 5 times as much as last week, multiply 2.7 by 5.

2.7*5=13.5

Answer:

Below

Step-by-step explanation:

231469.335329 to the nearest thousand.     '1' is the thousand position

the '4' next to it says leave the '1' alone to get

231000      rounded to nearest thousand.

Let the lengths of the pieces, in inches, be \(x, x+6, x+8\).

The lengths of these pieces add to \(56\) inches.

\(x+x+6+x+8=56 \\ \\ 3x+14=56 \\ \\ 3x=42 \\ \\ x=14\)

So, the lengths of the pieces are 14 in, 20 in, and 22 in.

Answer:

what is 2D shapes because l want to understand

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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