I really need help on this one, guys

Answer:

a)

initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]  

b)

S(0) = 1

Therefore; S(0)  is 1 million dollar

S(1) = 1.105170918075647

Therefore; S(1)  is 1.105170918075647 million dollar

Step-by-step explanation:

Given that;

Initial salary of football coach = 1 million dollar

raise of 10% every year (so exponential growth model) r = 10% = 0.10

a) initial value problem to represent the salary

lets S represent salary in millions dollars and t represent time in years.

S(t) = S₀[tex]e^{rt}[/tex]

so,

at S₀ = 1 million dollars } { r = 0.10 }

S(t) = 1.[tex]e^{0.10t}[/tex]  

Therefore, initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]  

b) What is s(0) and s(1)

at s(0)

S(t) = 1.[tex]e^{0.10t}[/tex]  

we substitute

S(0) = 1.[tex]e^{0.10*0}[/tex]

S(0) = 1.[tex]e^{0}[/tex]

S(0) = 1

Therefore; S(0)  is 1 million dollar

at s(1)

S(t) = 1.[tex]e^{0.10t}[/tex]  

we substitute

S(1) = 1.[tex]e^{0.10*1}[/tex]

S(1) = 1.[tex]e^{0.10}[/tex]

S(1) = [tex]e^{0.10}[/tex]

S(1) = 1.105170918075647

Therefore; S(1)  is 1.105170918075647 million dollar

Answer:

discount=25%

selling price=$449

original price=?

Step-by-step explanation:

we have

original price=selling price + discount% of original price

original price-discount% of original price=$449

original price (1-25/100)=$449

original price=$449/0.75=$598.66

Answer:

where's the line? Can't answer it without it.

Answer:

First blank: Divide

Second blank: Multiply

Third blank: 25

Step-by-step explanation:

For the first part, you would divide to get X as itself

For the second part, you would multiple to cancel out the fraction and be left with whole numbers, which is much easier to work with

1.3 x 25 = 32.5, so that would be that answer

Answer:

We fail to reject the null

Step-by-step explanation:

Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248

Mean price, μ = 1249

Standard deviation, σ = 25

Variance, σ² =

Null hypothesis, H0 : σ² = 25²

Alternative hypothesis, H1 : σ² > 25

Using calculator, the sample standard deviation :

Sample standard deviation = s = 34.072

Sample size, n = 8

For chi² distribution :

X² = [(n - 1)s²] ÷ σ²

X² = [(8 - 1)*34.072^2] ÷ 25^2

X² = (7 * 1160.901184) / 625

X² = 13.002093

Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05

Pvalue =0.07206

0.07206 > 0.05

Since , Pvalue > α

We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25

Answer:

6 and 20

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.

Answer:

-9

Step-by-step explanation:

Given

See attachment for number line

Required

What does the arrow integer

Represent the value of the arrow with x.

The arrow is on number -9.

This number is what the arrow represents.

Hence:

[tex]x = -9[/tex]

Answer:

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

Step-by-step explanation:

Given that:

The distance between city A and city B = 350 miles; &

The radius of the earth = 4000 miles

We all know that:

l = rθ

[tex]\theta = \dfrac{l}{r}[/tex]

[tex]\theta = \dfrac{350}{4000}[/tex]

[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]

From l = rθ; recall that l = a

so;

a = rθ

350 = 4000×θ

θ = 350/4000

θ = 35/400 degree

In radians;

θ = (35/400) × (π/180)

θ = (7π /800× 180) radians

The thing before the square root means that the answer can be positive and negative.

Answer:x=11/2+y/2

Step-by-step explanation:

The solution of the given system of equation would be (6, 2)

Two or more equations to be solved together, i.e., the solution must satisfy all the equations in the system.

We have Given the equations, 3x + 2y = 22

-x + 4y = 2

Solving by elimination, Multiplying the second equation by 3,

3x+2y = 22

-3x + 12y = 6

Adding the equation, we get;

2y+12y = 22+6

24y = 28

y = 2

Putting y=2 we get;

3x+2*2=22

3x+4 = 22

3x = 18

x = 6

Hence, The solution is (6, 2)

For more references on system of equations, click;

brainly.com/question/24065247

#SPJ2

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]

Next, we list out the sample space of F

[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]

[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

In (1): the sample space of E is:

[tex]E = \{1\}[/tex]

So:

[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]

[tex]P(E) = \frac{1}{6}[/tex]

In (2): the sample space of F is:

[tex]F = \{5,5,5,5\}[/tex]

So:

[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]

[tex]P(F) =\frac{4}{36}[/tex]

[tex]P(F) =\frac{1}{9}[/tex]

For E and F to be independent:

[tex]P(E\ and\ F) = P(E) * P(F)[/tex]

Substitute values for P(E) and P(F)

This gives:

[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]

[tex]P(E\ and\ F) = \frac{1}{54}[/tex]

However, the actual value of P(E and F) is 0.

This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:

So:

[tex]P(E\ and\ F) = 0[/tex]

Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].

These values are not equal.

Hence: the two events are not independent

Answer:

Associative

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If CUB is 78 and that’s the full angle just to 48 minus 78 and you get your answer.

Answer:

0.0625 should be the answer of .5 to the fourth power.

Answer:

x=c-6

Step-by-step explanation:

6+x=c

-6    -6

x=c-6

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, and -1/2 and 2 are opposite reciprocals.

Answer:

80 +30h

Step-by-step explanation:

Answer:

80 + 30h

Step-by-step explanation:

Distribute the 10 over the (8 + 3h). This means: multiply 10 by 8 and by 3h.

10 x 8 = 80

10 x 3h = 30h

10(8 + 3h) = 80 + 30h

Given:

The compound inequality is

[tex]9<3x+6\leq 15[/tex]

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

[tex]9<3x+6\leq 15[/tex]

Subtracting 6 from each side, we get

[tex]9-6<3x+6-6\leq 15-6[/tex]

[tex]3<3x\leq 9[/tex]

Divide each side by 3.

[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]

[tex]1<x\leq 3[/tex]

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

Answer:

8 pieces

Step-by-step explanation:

4/6 x 2 = 8/12

If Zachary wanted to eat the same amount. He would eat 8 pieces.

Zachary will have to eat 8 peices of pizza

Step-by-step explanation:

If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4

Answer:

x=-4/11; y=-19/11

Step-by-step explanation:

Answer:

x = 4/11 ; y = 19/ 11

sorry i cant give you the explanation

i hope this will help u

pls add me as bainliest

Step-by-step explanation:

Answer:

i so want to know this aswell

Step-by-step explanation:

Answer:

4182

Step-by-step explanation:

I gotten this question so I decided to find the answer but I still got it wrong and it said the answer was 4182

Answer:

a. [tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex] b. 7.44 s

Step-by-step explanation:

a. If the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t min.

Let m(t) be the mass of salt in the tank at any time, t.

Now, since a brine solution flows in at a rate of 4 L/min and has a concentration of 0.2 kg/L, the mass flowing in per minute is m' = 4 L/min × 0.2 kg/L = 0.8 kg/min

Now, the concentration in the tank of volume 100 L at any time, t is m(t)/100 L. Since water flows out at a rate of 3 L/min, the mass flowing out per minute is

m(t)/100 × 3 L/min = 3m(t)/100 kg/min

Now the net rate of change of mass of salt in the tank per minute dm/dt = mass flowing in -mass flowing out

dm/dt = 0.8 kg/min - 3m(t)/100 kg/min

So, dm/dt = 0.8 - 0.03m(t)

The initial mass of salt entering m(0) = 0 kg

dm/dt = 0.8 - 0.03m(t)

separating the variables, we have

dm/[0.8 - 0.03m(t)] = dt

Integrating, we have

∫dm/[0.8 - 0.03m(t)] = ∫dt

-0.03/-0.03 × ∫dm/[0.8 - 0.03m(t)] = ∫dt

1/(-0.03)∫-0.03dm/[0.8 - 0.03m(t)] = ∫dt

-1/0.03㏑[0.8 - 0.03m(t)] = t + C

㏑[0.8 - 0.03m(t)] = -0.03t - 0.03C

㏑[0.8 - 0.03m(t)] = -0.03t + C'  (C'= -0.03C)

taking exponents of both sides, we have

[tex]0.8 - 0.03m(t) = e^{-0.03t + C'} \\0.8 - 0.03m(t) = e^{-0.03t}e^{C'}\\0.8 - 0.03m(t) = Ae^{-0.03t} A = e^{C'}\\0.03m(t) = 0.8 - Ae^{-0.03t}\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\when t = 0 \\m(0) = 0\\m(0) = 26.67 - \frac{A}{0.03} e^{-0.03(0)}\\\\0 = 26.67 - \frac{A}{0.03} e^{0}\\26.67 = \frac{A}{0.03} \\\frac{A}{0.03} = 26.67\\\frac{A}{0.03} = 6.67\\A = 26.67 X 0.03\\A = 0.8\\m(t) = 26.67 - \frac{A}{0.03} e^{-0.03t}\\\\m(t) = 26.67 - \frac{0.8}{0.03} e^{-0.03t}\\[/tex]

So, the mass of the salt after t min is

[tex]m(t) = 26.67 - 26.67e^{-0.03t}[/tex]

b. When will the concentration of salt in the tank reach 0.1 kg/L?

When the concentration of the salt reaches 0.1 kg/L, m(t) = 0.1 kg/L

Solving the equation for t,

[tex]m(t) = 26.67 - 6.67e^{-0.03t}\\0.1 = 26.67 - 26.67e^{-0.03t}\\26.67e^{-0.03t} = 26.67 - 0.1\\26.67e^{-0.03t} = 26.57\\e^{-0.03t} = 26.56/26.67\\e^{-0.03t} = 0.9963\\[/tex]

taking natural logarithm of both sides, we have

-0.03t = ㏑0.9963

-0.03t = -0.0038

t = -0.0038/-0.03

t = 0.124 min

t = 0.124 × 60 s

t = 7.44 s

Answer:

Angles and sides are the main differences! In a rectangle, all angles will be 90 degrees. In a rhombus, opposite angles will always be congruent. And, all sides in a rhombus are congruent, while in a rectangle, opposite sides are congruent

Step-by-step explanation:

here

Answer:

20.5

Step-by-step explanation:

Answer:

С) 80

вот правильный ответ

Answer:

x = 1

Step-by-step explanation:

It is given that,

∠A and ∠B are vertical angles.

∠A = (5x – 4) and ∠B = (2x – 1)

We need to find the value of x.

We know that, the vertical angles are equal. So,

∠A=∠B

(5x – 4)=(2x – 1)

Taking like terms together,

5x-2x = 4-1

3x=3

x = 1

So, the value of x is equal to 1.

Answer:

A seizure and a half

Step-by-step explanation:

Answer:

495962981439552000