Find the coefficient of the t4
term in the expansion of
(4t – 375
a

9514 1404 393

Answer:

  a) $7715.10

  b) $6022.02

  c) 15263.10

Step-by-step explanation:

A calculator or spreadsheet can evaluate the formulas for you using the given parameters.

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.

The continuously compounded interest formula is ...

  A = Pe^(rt) . . . . where P, r, t are defined as above

Often the function e^x is defined as the exp(x) function.

__

A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.

For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.

The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

Answer:

-x^2+3x-2

Step-by-step explanation:

I think one of the signs are wrong in the equation.

Answer:

C

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )

sum = 40 × 70 = 2800 → C

Answer:

Hello There!!

Step-by-step explanation:

Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.

hope this helps,have a great day!!

~Pinky~

Answer:

The second answer is the correct one

Step-by-step explanation:

Answer:

sorry no idea hhcchuucghhf

9514 1404 393

Answer:

  D

Step-by-step explanation:

The left portion of the curve is defined for x < 1, except x=0. The right portion of the curve is defined for x ≥ 1. The only answer choice with these domain segments is the last one.

Answer: hello the exercise is missing from your question below is the missing exercise for reference

answer:

0.1745

Step-by-step explanation:

Determine  P ( Y > 3 )

Given that y follows Poisson distribution with mean

P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]

assuming that yi represents number of autos that will enter the tunnel and

also let A represent Y > 3 at one of the ten two-minute interval

step 1 : hence finding  P(A )

= P(Y > 3 ) = 1 - P( Y≤ 3 )

= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]

= 0.018988

since the ten observations are independent

P(X≥ 1 ) = 1 - P( X = 0 )

            = 1 -  [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex]  * (0.018988)^0 ( 1 - 0.018988)^10-0

            = 1 - 0.8255 = 0.1745

The coordinate of K on the line segment JL is (4,5).

When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.

[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]

Where,

(x, y) are the coordinates of point P.

[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.

[tex](x_{2},y_{2})[/tex] are the coordinates of point B.

m and n are the ratio values in which P divides the line segment AB internally.

According to the given question.

Coordinates of points J and L are (4, 2) and (4, 6) respectively.

K divides the line segment JL in the ration 3:1.

Therefore, the coordinates of K by section formula is given by

[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]

⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]

⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]

⇒[tex]K(x, y) = ( 4, 5)[/tex]

Hence, the coordinate of K on the line segment JL is (4,5).

Find out more information about section formula here:

https://brainly.com/question/20320420

#SPJ2

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]

Step-by-step explanation:

help me you nedd to add position

Answer:

na answer ran nyo na po

Step-by-step explanation:

Answer:

28 walnuts

Step-by-step explanation:

3 times 7 is 21 so 4 times 7 is how many walnuts niyi gets

Answer:

d

Step-by-step explanation:

Circles with the same centre are concentric circles

Answer:

concentric

Step-by-step explanation:

as well all know that two circles with the same center are called Concentric and there is no doubt about that

Answer:

<A = 63degrees

Step-by-step explanation:

From triangle DEF;

<D + <E + <F = 180

87 + 30 + <F = 180

117 + <F = 180

<F = 180 - 117

<F =  63degrees

Since <A = <F based on similarities, then <A = 63degrees

Answer:

The agency makes 16110

The agent makes 3222

Step-by-step explanation:

First find the real estate commission

358000 * 4.5%

358000*.045

16110

The agent gets 20 percent of that amount

16110*20%

16110*.2

3222

Answer:

Step-by-step explanation:

..........................

Answer:

This Symbol has 4 lines of Symmetry

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

Answer:

AA

Step-by-step explanation:

HL = requires actual measurements of sides

LL = There are no measurements for the legs

HL = There are no measurements for the legs or hypotenuse

HA = Doesn't exist

Answer:

a)  P  ( - 1.96  < Z < 1.96 )

b) P  ( - 2.58 < Z < 2.58)

c) P (  -0.995  < Z < 0.995 )

d) P  ( - z  <  Z  < z )     =  P ( ( Z ± 3σ )   then that is close to 1

Step-by-step explanation:

a)  P  ( - z  <  Z  < z )     =   P  ( - 1.96  < Z < 1.96 )

CI = 95 %   significance level  α  = 5 %   α  = 0.05    α/2 = 0.025

z = 1.96

b)  P  ( - z  <  Z  < z )     =   P  ( - 2.58 < Z < 2.58)

CI = 99 %   significance level  α  = 1 %   α  = 0.01    α/2 = 0.005

z = 2.58

c) P  ( - z  <  Z  < z )     =   P (  -0.995  < Z < 0.995 )

CI = 68 %   significance level  α  = 32 %   α  = 0.32    α/2 = 0.16

z ≈ 0.9954

We interpolate in this case

1             ⇒  0.1587

0.99      ⇒  0.1611

0.01    ⇒   0.0024        

 x       ⇒    0.0013       x  =  0.01 *0.0013  /  0.0024  

x =  0.005416

and    z =  0.99 + 0.005416

z = 0.9954

d) P  ( - z  <  Z  < z )     =   P (  - 0.00 < Z < 0. 00)

CI = 0.9973 %   significance level  α  = 0.0027 %   α  = 0.000027             α/2 = 0.0000135

z = 0.00003375     ⇒ z = 0.00

NOTE: The value of α  is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)

that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units

Step-by-step explanation:

area of the triangle is 6

base = 6

height = 2

so are is 6 x 2 / 2

Answer:did this a few months ago this answer is

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

like the person up there