a principal of $1500 is invested at 5.5 interest compounded annually. how much will the investment be worth after 7 years

Answer:

KI and HE are parallel

So we apply the law of exterior angles ;

3X=X + 180– 2X

3X +X = 180

4X= 180

X= 180/4

X= 45

I hope I helped you^_^

Answer: There are 32 dogs and 1 Parrot

Step-by-step explanation: I had a question like this in a math class. What you first do is to recognize that- parrots have 2 legs and dogs have 4. We can do 130/2 = 65 and 130/4= 32.5. Now we know that if there was only one animal, there would be 65 parrots, and 32 dogs- one with half of the legs. Since there is a .5 for the dogs, if we put in one parrot, it would mean that there is exactly 130.

(32 x 4)+(2x1) = 130.  There are 32 dogs and 1 Parrot. I hope this answer is ✅ and helps, i just joined the community and this is the first person I answered. Good Luck!!

Answer:

Step-by-step explanation:

To solve this, we need to list some equations. Letting variable d stand for dogs and p stand for parrots, we have:

d+p=40 (The number of dogs plus the number of parrots equals 40)

4d+2p=130 (Each dog has 4 legs and each parrot has 2 legs and they have 130 legs in total)

With this system of equations, we can quickly solve it for d and p.

Subtract:

 4d+2p=130

- d+p=40

_________

3d+p=90,

p=90-3d

Substitution:

d+(90-3d)=40

90-2d=40

-2d=-50

d=25

Substitution to get p:

p+25=40

p=15

There you have it! There are 25 dogs and 15 parrots. To check our work,

25+15=40

4(25)+2(15)=100+30=130

I hope this helped! :)

Answer:

noent einda  pergnta poudsesrmaesspeeciicofl

Step-by-step explanation:

Answer:

I think it is twenty seven

Answer:

3. 100% = 1

3/4 = 0.75

Now, 0.75 is halfway between 0.5 and 1, so Chris is correct.

4. 10% = 10/100 = 0.1

3/5 = 0.6

Now, 0.2 is not halfway between 0.1 and 0.6, so Emily is wrong.

Answer:

3 đúng 4 wrong

Step-by-step explanation:

100%=1

giữa 0, 5 và 1 =(0,5+1)/2=3/4

10%= 0,1

giữa  0,1 và  3/5 =(0,1+3/5)/2=  0,35  #0,2

It looks like the integral you want to find is

[tex]\displaystyle \int_C x^2y\,\mathrm dx - xy^2\,\mathrm dy[/tex]

where C is the circle x ² + y ² = 4. By Green's theorem, the line integral is equivalent to a double integral over the disk x ² + y ² ≤ 4, namely

[tex]\displaystyle \iint\limits_{x^2+y^2\le4}\frac{\partial(-xy^2)}{\partial x}-\frac{\partial(x^2y)}{\partial y}\,\mathrm dx\,\mathrm dy = -\iint\limits_{x^2+y^2\le4}(x^2+y^2)\,\mathrm dx\,\mathrm dy[/tex]

To compute the remaining integral, convert to polar coordinates. We take

x = r cos(t )

y = r sin(t )

x ² + y ² = r ²

dx dy = r dr dt

Then

[tex]\displaystyle \int_C x^2y\,\mathrm dx - xy^2\,\mathrm dy = -\int_0^{2\pi}\int_0^2 r^3\,\mathrm dr\,\mathrm dt \\\\ = -2\pi\int_0^2 r^3\,\mathrm dr \\\\ = -\frac\pi2 r^4\bigg|_{r=0}^{r=2} \\\\ = \boxed{-8\pi}[/tex]

From the test the parson wants, and the sample data, we build the test hypothesis and find the p-value.

Suppose  someone wants to claim that more than 55% of adult Catholics in the United  States are in favor of allowing women to become priests.

At the null hypothesis, it is tested that the proportion is of at most 55%, that is:

[tex]H_0: p \leq 0.55[/tex]

At the alternative hypothesis, it is tested that the proportion is of more than 55%, that is:

[tex]H_1: p > 0.55[/tex]

Since we are testing only one proportion, it is a one-sample test. Since we are testing only if the proportion is higher/lower, in this case higher, than a value, it is a one-tailed test.

P-value:

To find the p-value of the test, we first have to find the test statistic.

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the nu

0.55 is tested at the null hypothesis:

This means that [tex]\mu = 0.55, \sigma = \sqrt{0.55*0.45}[/tex]

From the sample:

Survey of 507, 59% answer yes, thus: [tex]n = 507, X = 0.59[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.59 - 0.55}{\frac{\sqrt{0.55*0.45}}{\sqrt{507}}}[/tex]

[tex]z = 1.81[/tex]

P-value from the test statistic:

The p-value of the test is the probability of finding a sample proportion above 1.81, which is 1 subtracted by the p-value of z = 1.81.

Looking at the z-table, z = 1.81 has a p-value of 0.9649.

1 - 0.9649 = 0.0351.

Thus, the p-value of the test is of 0.0351.

For another example of a similar problem, you can check https://brainly.com/question/24166849

Answer:

351.86

Step-by-step explanation:

the formula is

surface area=2πrh+2πr²

r= radius

h=height

Answer:

A

Step-by-step explanation:

f(x) = 1/(x-3)+7

f(x)-7=1/(x-3)

x=1/(f(x)-7)+3

f^-1(x)=1/(x-7)+3, where x≠7

The correct answer is option (a)  [tex]f^{-1}(x)= \frac{1}{x-7} +3[/tex] where [tex]x\neq 7[/tex].

The domain of a function is the complete set of possible values of the independent variable

Given [tex]f^{}(x)= \frac{1}{x-3} +7[/tex]

Let

[tex]y= \frac{1}{x-3} +7[/tex]

⇒y-7= 1/x-3

⇒x-3 =1/y- 7

⇒ [tex]x= \frac{1}{y-7} +3[/tex]

hence option a is correct

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Answer:

Question in English please I don't understand your language.

We have to convert it to m/s

[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]

[tex]\\ \sf\longmapsto 40km/h[/tex]

[tex]\\ \sf\longmapsto 40\times \dfrac{5}{18}[/tex]

[tex]\\ \sf\longmapsto \dfrac{200}{18}[/tex]

[tex]\\ \sf\longmapsto 11.1m/s[/tex]

km/h > m/s

when converting km/h to m/s all you need to do is divide by 3.6

and vise versa when converting m/s to km/h multiply by 3.6

so therefore,

40km/h > m/s

= 40 / 3.6

= 11.11 m/s (4sf)

Answer:

x = 10

Step-by-step explanation:

[tex]x = 3 \times 2 + 4[/tex]

[tex]x = 6 + 4[/tex]

[tex]x = 10[/tex]

Answer:

It's option A. ± √60

Step-by-step explanation:

x^2  = 60

here ^2 will move to the other side and when it does it'll become a square root to 60.

so, x = √60

now, the answer in its simplified form would be 2√15 and -2√15.

The answer of this square root will be negative as well as positive, so, ±√60.

Answer:

±√60

You'll have to remove the square from the x by squaring the 60, hence the ±60 as the answer

Answer:

a=3

Step-by-step explanation:

Given points (a, b) and (c,d), the midpoint of the points will be at

((a+c)/2, ((b+d)/2)

Therefore, given (9, 2) and (a,2a), our midpoint is at

((9+a)/2, (2+2a)/2) = (6,4)

Matching the x values to their corresponding x values and doing the same with the y values, we get

(9+a)/2 = 6

(2+2a)/2 = 4

First, we have

(9+a)/2 = 6

multiply both sides by 2 to remove the denominator

9+a = 12

subtract 9 from both sides to isolate a

a = 3

2a = 2 * a = 6

Confirming this, we have

(2+2a)/2 = 4

(2+6)/2 = 4

8/2=4

The value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

Point M is the midpoint of CD.

The coordinate of the C is (a, 2a)

The coordinate of the M is (6, 4)

The coordinate of the C is (9, 2)

Using bisection formula:

(a + 9)/2 = 6

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. I

a + 9 = 12

a = 12 - 9

a = 3

Or

(2a + 2)/2 = 4

a + 1 = 4

a = 3

Thus, the value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

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Answer:

It has 1 term and a degree of 4.

Step-by-step explanation:

3j⁴k-2jk³+jk³-2j⁴k+jk³

= 3j⁴k-2j⁴k-2jk³+jk³+jk³

= j⁴k

So, in this expression, there is 1 term, and it has a degree of 4.

Let numbers be a and b

Adding both

[tex]\\ \qquad\quad\sf\longmapsto 2a=24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=\dfrac{24}{2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=12[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 12-b=9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=12-9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=3[/tex]

Answer:

B = 70

Step-by-step explanation:

Supplementary angles add to 180

5x+25 + 3x+19 = 180

Combine like terms

8x+ 44 =180

Subtract 44 from each side

8x+44-44 =180-44

8x= 136

Divide by 8

8x/8 = 136/8

x = 17

We want to find B

B = 3x+19 = 3(17)+19 = 51+19 = 70

Answer: The population was 2,300,000.

Step-by-step explanation:

Let the population in 1950 be x

11,200,000 = 2,000,000+4x

11,200,000-2,000,000 = 4x

0r, 9,200,000=4x

0r, x = 9,200,000/4

so, x = 2,300,000

Answer:

the answers for x and y are both 12

Complete the square in the denominator.

[tex]s^2 - 4s + 8 = (s^2 - 4s + 4) + 4 = (s-2)^2 + 4[/tex]

Rewrite the given transform as

[tex]\dfrac{3s-14}{s^2-4s+8} = \dfrac{3(s-2) - 8}{(s-2)^2+4} = 3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}[/tex]

Now take the inverse transform:

[tex]L^{-1}_t\left\{3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3L^{-1}_t\left\{\dfrac{s-2}{(s-2)^2+2^2}\right\} - 4L^{-1}_t\left\{\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3e^{2t} L^{-1}_t\left\{\dfrac s{s^2+2^2}\right\} - 4e^{2t} L^{-1}_t\left\{\dfrac{2}{s^2+2^2}\right\} \\\\ \boxed{3e^{2t} \cos(2t) - 4e^{2t} \sin(2t)}[/tex]

9514 1404 393

Answer:

  [[3, 6, 3] [3, -3, -3]]

Step-by-step explanation:

Reflecting over the x-axis changes the sign of the y-coordinate. The reflected coordinates are ...

  [tex]\left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

Answer:

The required length of AB is 7.28 units.

Answer:

B.  P(A|B) = P(A).

Step-by-step explanation:

Question

If a and b are independent events then it must be true that P(A|B)=P(A). TRUE OR FALSE.

Answer

The correct answer is:True.Explanation:P(A|B) is read as “the probability of A given B.” If A and B are independent, this means that B has no effect on A. This means the probability of A given B would be the same as the probability of A, since B has no effect.This means that P(A|B) = P(A).

Answer:

B. P(A|B) = P(A)

Step-by-step explanation:

I got it right on edge 2023 :)

Answer:

volume of shaded region = 112.94 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^{2}h[/tex]

volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6

volume = 286.67 [tex]cm^{3}[/tex] approx

volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]

volume= 57.91 [tex]cm^{3}[/tex] approx

No, of sphere = 3

Volume of 3 sphere = 3 * 57.91

                                 =173.73 [tex]cm^{3}[/tex]

Now , volume of shaded region = volume of cylinder - total volume of sphere

volume of shaded region = 286.67 - 173.73

                                          =112.94 [tex]cm^{3}[/tex]

yes I will send you a check tomorrow morning if I have a time for it tomorrow and if you need any more info let us or you get lost and I

Answer:

x = 48

Step-by-step explanation:

Pythagorean thm:

a² + b² = c²

Given:

a = x

b = 36

c = 60

Work:

a² + b² = c²

x² + 36² = 60²

x² + 1296 = 3600

x² = 3600 - 1296

x² = 2304

√x² = √2304

x = 48

Answer:

2^(1/6) (cos(-pi/12)+i sin(-pi/12))

2^(1/6) (cos(3pi/12)+i sin(3pi/12))

2^(1/6) (cos(7pi/12)+i sin(7pi/12))

2^(1/6) (cos(11pi/12)+i sin(11pi/12))

2^(1/6) (cos(5pi/4)+i sin(5pi/4))

2^(1/6) (cos(19pi/12)+i sin(19pi/12))

Step-by-step explanation:

Let's convert to polar form.

-2i=2(cos(A)+i sin(A) )

There is no real part so cos(A) has to be zero and since we want -2 and we already have 2 then we need sin(A)=-1 so let's choose A=-pi/2.

So z=2(cos(-pi/2)+i sin(-pi/2)).

There are actually infinitely many ways we can write this polar form which we will need.

z=2(cos(-pi/2+2pi k)+i sin(-pi/2+2pi k))

where k is an integer

Now let's find the 6 6th roots or z.

2^(1/6) (cos(-pi/12+2pi k/6)+i sin(-pi/12+2pi k/6))

Reducing

2^(1/6) (cos(-pi/12+pi k/3)+i sin(-pi/12+pi k/3))

Plug in k=0,1,2,3,4,5 to find the 6 6th roots.

k=0:

2^(1/6) (cos(-pi/12+pi (0)/3)+i sin(-pi/12+pi (0)/3))

=2^(1/6) (cos(-pi/12)+i sin(-pi/12))

k=1:

2^(1/6) (cos(-pi/12+pi/3)+i sin(-pi/12+pi/3))

2^(1/6) (cos(3pi/12)+i sin(3pi/12))

k=2:

2^(1/6) (cos(-pi/12+2pi/3)+i sin(-pi/12+2pi/3))

2^(1/6) (cos(7pi/12)+i sin(7pi/12))

k=3:

2^(1/6) (cos(-pi/12+3pi/3)+i sin(-pi/12+3pi/3))

2^(1/6) (cos(11pi/12)+i sin(11pi/12))

k=4:

2^(1/6) (cos(-pi/12+4pi/3)+i sin(-pi/12+4pi/3))

2^(1/6) (cos(15pi/12)+i sin(15pi/12))

2^(1/6) (cos(5pi/4)+i sin(5pi/4))

k=5:

2^(1/6) (cos(-pi/12+5pi/3)+i sin(-pi/12+5pi/3))

2^(1/6) (cos(19pi/12)+i sin(19pi/12))

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

4 × (8 + 5) + 9

Parentheses first

4 × (13) + 9

Then multiply

52 +9

Then add

61

Answer:

$15798.4

Step-by-step explanation:

We will have to use this formula A = Peᵃᵇ

A = Final amount

P = Initial amount (12,000)

e = Mathematical constant: 2.7183

a = Interest rate (5.5% or 0.055)

b = Years

So our equation will look like this

A = 12,000e⁵ ⁰·⁵⁵

A = 12,000(2.7183)·²⁷⁵

A = 12,000(1.316533)

A = 15798.396