1.What is greater? - 7,500 pounds or 4 tons? 2.What is greater? - 1/2 ton(s) or 1,000 pounds? Please help! This is due in 9 minutes .~.

Answer:

im pretty sure its 67, sorry if I'm wrong

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

Answer:

14$

Step-by-step explanation:

Please mark brainliest

Answer:

15 m E. B. C. D. that's why I will be there

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Answer:

From the table, Riley is moving forward on the interval [0,1.5].

I takes Riley 6 seconds to swing forward, back, and then return to her starting position.

Riley reaches a maximum distance of 38.9 inches from her starting position.

Step-by-step explanation:

PLATO/Edmentum

The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.

Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.

Now as per the table, the statements can be completed as,

Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Learn more about Table here:

https://brainly.com/question/10670417

#SPJ2

Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

Answer:

um mm

Brent fayiyz

all his songs

and ummm

Answer:46, f(n)=2x+16

Step-by-step explanation:

1=0+18

2=2+18

3=4+18

4=6+18

f(n)=2x+16

f(15)=30+16=46

Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

Answer:

x > 5

Step-by-step explanation:

–3(2x – 5) < 5(2 – x)

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

x > 5

Answer:

to me it's a simple solution

Step-by-step explanation:

Answer:

[tex]\frac{2}{8} <\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} =\frac{6}{8} \\[/tex]

therefore 3/4 will be greater than 2/8

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]

Answer:

i think its b

Step-by-step explanation:

Answer:

486

Step-by-step explanation:

The solid is a cube. The faces of a cube are 6 congruent squares.

side = 9 ft

surface area = 6 * side²

SA = 6 * (9 ft)²

SA = 486 ft²

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]

The expected value of X is $0.0833.

Answer:

12.4

Step-by-step explanation:

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

Step-by-step explanation:

the first one is 2 that appears most while the second is 20 and 3

Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu

Answer:

Slope (m) = 2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

consider 2 points - (20,20) and (30,40)

[tex]m = \frac{40-20}{30-20}[/tex]

[tex]m=\frac{20}{10}[/tex]

[tex]m=2\\[/tex]

∴ Slope (m) = 2

Answer:

x = 66°

Step-by-step explanation:

unmarked angle = x because it is an isosceles triangle.

The sum of all three interior angles of any triangle = 180°

So:

2x + 58° = 180°

2x = 122°

x = 66°

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

[tex]\mu = 6*0.6 = 3.6[/tex]

The probability of scoring four goals is:

[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]

Probability of two assists:

40% of 2 are assists, which means that:

[tex]\mu = 6*0.4 = 2.4[/tex]

The probability of getting two assists is:

[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]

Probability of four goals and two assists:

[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]

0.05 = 5% probability that he has four goals and two assists in one game

Answer:

Step-by-step explanation:

45% = 45/100 = 0.45

100% is $40

Answer:

solution given;

let total be X

45% of X=$18

X=$18×100/45=$40

So.100% is $40.

Answer:

C

Step-by-step explanation:

It is C because 64 to 1/4 power is just 64 divided by 4.

Answer:

(a) and (e)

Step-by-step explanation:

Given

[tex]d = 14cm[/tex]

Required

Select the true statements

First, is a statement about the area.

The area is calculated as:

[tex]Area= \pi*\frac{d^2}{4}[/tex]

So, we have:

[tex]Area= 3.14*\frac{14^2}{4}[/tex]

[tex]Area= 3.14*49[/tex]

(a) is true

Next, is a statement about the circumference.

This is calculated as:

[tex]C = \pi d[/tex]

So, we have:

[tex]C = 3.14 * 14[/tex]

(e) is true

I think its B because i did this in class before and it looks familiar. (branliest will be appreciated as well) Thanks

One of the terms in the summation is(1,3)