If $12.000 is invested in an account in which the interest earned is continuously
compounded at a tale of 2.5% find the totally amount in the account after 15 years.
Assume there are no other deposits or withdrawals.

Answer: 147

Step-by-step explanation: you just have to replace n in the equation to 30 giving you:

-3+50(30)

Now solve

-3+150=147

Answer:

[tex]\rm T_{30}= 147 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the 30th term of the sequence . For that simply substitute n = 30 in the given expression to find out the 30th term .

The nth term :-

[tex]\rm\implies n = 30[/tex]

The sequence :-

[tex]\rm\implies T_n = 5n - 3 [/tex]

On substituting :-

[tex]\rm\implies T_{30}= 5*30-3 \\\\\implies\rm T_{30}= 150 - 3 \\\\\implies\boxed{\rm T_{30}= 147 }[/tex]

Hence the 30 th term is 147 .

Answer:

no it doesn't as no is variable.

Answer:

G(-4,2), H(-3,-4), J(-1,1)

Step-by-step explanation:

The x-values would all become negative.

G(-4,2), H(-3,-4), J(-1,1)

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8

Answer:

I think it is 2 one

Step-by-step explanation:

Answer:

C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Step-by-step explanation:

First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.

From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:

Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.

The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

In this question, we simply have to deduce a conclusion from the chi-square test information that was given.

In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.

This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Learn more about significance level on:

https://brainly.com/question/4599596

Answer:

32 homes

Step-by-step explanation:

To get the amount of homes with a pool, simply do

HOMES * 0.40

So 80x0.4 = 32 homes with a pool

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

Answer:

i got 70

Step-by-step explanation:

Brain   4           Brain gets 42 more sweets Sara

Pip      5           How many sweets does Pip get?

Sara    1

when   b = s + 42            find p        b = 4s    p = 5s

           4s = s + 42                           b/4 = s      p = 5b/4

           3s = 42

             s = 14           b = 56         p = 70      

I initially found the answer by trail and error, then I could figure out the equation.  

s     b      p

1     4      5

10   40   50

16   64   90

14   56   70

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

Answer:

28 apples and 22 peaches

Step-by-step explanation:

<3

9514 1404 393

Answer:

  86.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(64°) = 38/x

  x = 38/cos(64°) ≈ 86.685

The value of x is about 86.7.

Answer:

I did not understand your question.

But the answer is 40.0625

Answer:

we add the powers to have 4-6 =-2

4 to power -2 which gives 0.0625

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

Answer:

14 + 5x = 39

Step-by-step explanation:

first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Answer:

100.29m

Step-by-step explanation:

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Answer:

i think it might be 0.43

Step-by-step explanation:

Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!

have a nice day

Answer:

43.3% of the students play rugby.

Step-by-step explanation:

13/30 = 0.43333

0.43333*100 = 43.33%

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

You 22/20=1.1

your friend 18/15=1.2

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)