what is the square root of 149 rounded to the nearest hundredth?

The annuity that should be worth after 6 years is $63,900.

Given that,

Now the following formula should be used:

\(Amount = Present\ value \times \frac{(1+ rate)^{(n)} - 1} {rate}\\\\= \$4,500 \times \frac{(1+0.03)^{12} - 1}{0.03}\\\\= \$4,500 \times \frac{0.4257}{0.03}\\\\= \$4,500 \times 14.1920\\\\= \$63,864\\\\= \$63,900\)

Therefore we can conclude that the annuity that should be worth after 6 years is $63,900.

Learn more about the annuity here: brainly.com/question/17096402

Answer: 63900

Step-by-step explanation: Use the savings annuity formula

PN=d((1+r/k)N k−1)r/k

to calculate the value of P6. The question states that r=0.06, d=$4,500, k=2 compounding periods per year, and N=6 years. Substitute these values into the formula results in

P6=$4,500 ((1+0.06/2)6⋅2−1)/(0.06/2).

Simplifying, we have P6=$4,500 ((1.03)12−1)/(0.03). Therefore P6=$63,864.13. Our final answer is 63900.

The shape that has a bigger area is the regular hexagon.

The shape that has a bigger area is the regular hexagon. A hexagon is a polygon with six sides while a pentagon is a polygon with five sides. The area of a polygon measures the surface of the shape.

The polygon with six sides has a greater surface so it is expected that its area will be bigger than that of the pentagon with fewer sides.

Learn more about regular pentagons here:

https://brainly.com/question/858867

#SPJ1

Answer:

5.1

Step-by-step explanation:

a² + b² = c²

1² + 5² = c²

1 + 25 = c²

26 = c²

c = 5.1

Answer:

The constant of variation is k =

3/8

When a = 1 and b = 5, what is the value of c?

3/40

Answer:

x=1 at f(x)=0

Step-by-step explanation:

When graphing the function, always try to remember that f(x) is almost the same as saying 'y'. Then find the point that corresponds on the graph where y=0, which is x=1.

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

The solution to the system of equations is (1.6,-1.6).

What is the system of equations?

Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

Here, we have

Given equations:

y = 1.5x - 4....(1)

y = -x....(2)

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6)

To learn more about the system of equations from the given link

https://brainly.com/question/28405823

#SPJ4

Answer:

Step-by-step explanation:

Life in the mid-1800s was marked by widespread prejudice and discrimination against minority groups, including immigrants and African Americans. The period was also characterized by a series of famines that led to significant suffering and mortality. Nativist movements gained popularity, promoting the interests of those born in the United States over those of immigrants. At the same time, millions of emigrants left their homes in search of better opportunities in America, despite the obstacles they faced upon arrival.

Answer:

(if you would like a short one/ still need help)

Nativists we’re prejudice and discriminatory towards Irish emigrants who had come to the United States after the events of the Irish Potato Famine

hope this helps :)

Answer:

1. a=3

2. a=3

3. a=9

Step-by-step explanation:

1. 9/a+9-4=12-56/8+3

We move all terms to the left:

9/a+9-4-(12-56/8+3)=0

Domain of the equation: a=0

a∈R

We add all the numbers together, and all the variables

9/a+9-4-8=0

We add all the numbers together, and all the variables

9/a-3=0

We multiply all the terms by the denominator

-3*a+9=0

We add all the numbers together, and all the variables

-3a+9=0

We move all terms containing a to the left, all other terms to the right

-3a=-9

a=-9/-3

a=+3

Answer:

(6, -1)

Step-by-step explanation:

The midpoint formula, (y2+y1)/2 and (x2+x1)/2 will help us find our answer. So (2-4)/2= -1 and (7+5)/2=6, so (6,-1) is the midpoint of segment AB.

The formula to calculate the number of bit strings of length six or less, not counting the empty string, is (Σ6i=0 2i) - 1.

To explain this formula, let's break it down. The Σ6i=0 represents a summation from i=0 to i=6. The 2i represents the number of possibilities for each bit (either 0 or 1) and the summation allows us to count all possible combinations of bit strings of length 6 or less.

However, we need to subtract 1 from the total because we are not counting the empty string. This formula ensures that we are only counting bit strings with at least one bit set to either 0 or 1.

In simpler terms, the formula tells us to take 2 to the power of each possible bit position (from 0 to 6), add up all those possibilities, and then subtract 1 to account for the empty string. This gives us the total number of possible bit strings of length six or less.

To know more about strings refer here

https://brainly.com/question/30099412#

#SPJ11

Answer:

A

Step-by-step explanation:

You just find out which number is closer to the speed of light

Answer:

9x10^15

Step-by-step explanation:

9,460,528,400,000,000

If you count the numbers up until 9 you get 15. So the easy hack is to just count the numbers up until the VERY first then whichever answer had that number is the right one.

The polynomial function is h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\). The degree of the polynomial is 6 and the leading coefficient is 27.

Given that,

The polynomial function is h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\)

We have to analyze the function to see if it is a polynomial function. State the degree and leading coefficient if the function is a polynomial.

The sum of one or more terms, each of which is either a number or a number multiplied by the independent variable and raised to a positive integer exponent, is known as a polynomial function.

The exponent of the variable, or zero if there is no variable, determines a term's degree.

The biggest term degree is the polynomial of the Function.

The Distributive Property is used to join terms having the same Degree.

Usually, terms are presented in order of decreasing Degree.

An nth degree polynomial function of x is often stated as follows:

F(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² +... + a₁x + a₀

So,

h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\)

Therefore, the degree of the polynomial is 6 and the leading coefficient is 27.

To learn more about polynomial visit: brainly.com/question/11536910

#SPJ1

To test the difference between the population means, the test statistics we use is t-test.

According to the question we have been given that,

There are two independent samples of sizes 20 and 25.

The population is normally distributed and have equal variances.

We have to test the difference between the population means. For that the test statistics we will use is t- test.

t - test is used when we have to compare the means of two groups and how they are related. Also the sample size should be less than 30 (<30)

Learn more about t-test here :https://brainly.com/question/17205773

#SPJ4

Answer:

Step-by-step explanation:B

Answer:

a+a+a+a+a+a= 6a

Step-by-step explanation:

brainliest???

Answer:

he ran 9 miles in 6 hours

Step-by-step explanation:

trust me

pls mark me as brainliest

Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi

Answer:

Explanation:

Here, we want to get the domain of the given function

We start by dividing the two as follows:

The domain refers to the possible x-values

To get that, we need to solve the quadratic equation in the denominator

We have that as:

So, we have the domain as:

Answer:

B.) and C.)

Step-by-step explanation:

Figure can be cut in half = reflection symmetry

Figure can be flipped = 180 rotational symmetry

(if those four choices in the picture are the only choices)

Answer: I believe the answer is A.

Step-by-step explanation: Sorry if it's wrong.

Answer:

15x + 42y = $13 050

Step-by-step explanation:

hope that helped :)

Answer:

Step-by-step explanation:

Given the following DE = 4X-2

EF = 3x+2

FG 5x-3

GD = 2x+5

Since DE is parallel to GF, this means that the sides are equal hence;

4x - 2 = 5x - 3

4x - 5x = -3 + 2

-x = -1

x = 1

Hence the value of x is 1

Answer:

-0.20412414523 there you go

Answer:

H = 3

Step-by-step explanation:

V of Large box = 4 x (V of Small box)

96/4 = 24

24 = V Small box.

V = L x W x H

24 = 2 x 4 x H

24 = 8 x H

3 = H

Therefore height of small box is 3.

The height of the one small box is 4 cm if Jessica puts the four small boxes into the large box. there’s no space leftover.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Jessica has four small boxes that are the same size and one large box.

The dimensions for the small boxes:

Width w = 4 cm

Length l = 2 cm

Volume of a large box = 96 cubic centimetres

As Jessica puts the four small boxes into the large box. there’s no space leftover, mathematically,

The volume of the large box = 4(Volume of the small boxes)

The volume of the large box = 4(l×w×h)

Where h is the height of the small box.

96 = 4(3×2×h)

24h = 96

h = 4 cm   (divide by 48 on both sides)

Thus, the height of the one small box is 4 cm if Jessica puts the four small boxes into the large box. there’s no space leftover.

Learn more about the cuboid here:

brainly.com/question/9740924

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

\(the \: rational \: number \: is \: \sqrt{100} \)

Step-by-step explanation:

The reason why

\( \sqrt{97} \)

isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).

The reason why

\( \sqrt{98} \)

isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).

The reason why

\( \sqrt{99} \)

isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).

The reason why

\( \sqrt{100} \)

is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).

Answer: We can use the formula for exponential growth to find the value of the quantity after 23 years:

Q(t) = 8500 * 2^(t/9)

Where Q(t) is the value of the quantity after t years, and t/9 is the number of doublings that have occurred.

Substituting t = 23 into the formula:

Q(23) = 8500 * 2^(23/9) = 8500 * 2^2.56 = 8500 * 12.90 = 109350

So, after 23 years, the quantity has a value of approximately 109,350, rounded to the nearest hundredth.

Step-by-step explanation:

Answer:

It would be the fourth option.

Step-by-step explanation:

Hope this helps:)

To simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4), we can start by combining like terms.

First, we need to distribute the negative sign to the second set of parentheses:

(9x^3+2x^2-5x+4) - 1(5x^3-7x-4)

= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4 (distributing the negative sign)

= (9x^3 - 5x^3) + 2x^2 - 5x + (4 - 4 + 7x) (grouping like terms)

= 4x^3 + 2x^2 + 2x (combining like terms)

Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.

We cannot factor this expression further as there are no common factors between the terms.

1) Remove parentheses.

\(9x^{3}+ 2x^{2} -5x+4-5x^{3} +7x-4\)

2) Collect like terms.

\((9x^{3}-5x^{3})+2x^{2} +(-5x+7x)+(4-4)\)

3) Simplify.

\(4x^{3}+2x^{2}+2x\)