Martin bought 30 shares of microsoft at the close price of $24.53. in a few years, martin sells all of his shares at $33.71. how much money did martin make?

For t=1.84 and t=0.76 the ball's height is 8 meters in equation h=1+13t-[tex]5t^{2}[/tex].

An equation is a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+ by=c. It is solved in order to find the values of variables.

We have been given an equation h=1+13t-[tex]5t^{2}[/tex] and we have to find the values of t for which h=8.

So,

1+13t-[tex]5t^{2}[/tex]=8

[tex]-5t^{2}[/tex]+13t+1-8=0

[tex]-5t^{2}[/tex]+13t-7=0

Removing negative signs.

[tex]5t^{2}[/tex]-13t+7=0

We cannot solve through factorization so e use the following formula:

x=-b+-[tex]\sqrt{b^{2} -4ac}/2a[/tex]

t=(13+-[tex]\sqrt{-13^{2} -4*5*7}[/tex])/2*5

t=(13+-[tex]\sqrt{169-140}[/tex])/10

t=(13+5.38)/10, (13-5.38)/10

t=1.838, 0.762

By rounding off to nearest hundred t=1.84, 0.76.

Hence value of t for which h=8 meters are 1.84 and 0.76.

Learn more about equations at https://brainly.com/question/2972832

#SPJ2

Answer:

it is 70

Step-by-step explanation:

I guessed and got it right, lol

Answer:

2.5 hrs.

Hope this helps <3

there are 60 minutes marks on a clock

 360/60 = 6

 6 degree between every minute

 From 1:25 to 1:50 there are 25 minutes

25 x 6 = for a total of 150 degrees

150*pi/180 = 5pi/6 radians. ( 2.61799 radians)

Total distance the tip of minute hand has traveled in this time = 2pi*(4 in) * (5pi/6)/(2pi) = 10pi/3 inches (10.47 inches)

We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.

The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).

Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,

P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25

https://brainly.com/question/32117953

#SPJ12

Answer:

Step-by-step explanation:

Part A: The two points that represent this situation are (3,43) and (8,113). To put this in standard form, I will first find the slope-intercept form. I did this in the image below.

Now, to find the standard form I will rearrange, 14x -y +1 = 0.

Part B: To put this in function notation I simply take my slope-intercept equation of y=14x+1, and replace y with f(x) so,   f(x)=14x+1

​

Part C: To graph this, put the y, intercept at 1, and give the line a slope of 14/1. Label the x-axis with hours, from 0 -  8, and the y-axis with dollars, from 0-150.

try it with a couple different numbers

 try 4:  1^2 +2^2 +3^2 +4^2 = 1 +4 +9 +16 =30

 formula: 4(4+1)(2*4+1)/6 = 4*5*9 = 180/6=30

 this one works

now try 5

1^2 + 2^2+3^2+4^2+5^2 = 55

formula: 5(5+1)(2*5+1)/6 = 5*6*11 = 330/6=55

I tried a larger number ( 14) as well and it worked

so you can say that this is true

Answer:

Part A: 12y^2+9y-21

Part B: 4y^2+6y^2+7y-5

Part C:  A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number. Polynomials are closed under the same operations as integers.

Step-by-step explanation:

Hope this helps!!

Answer:  D

Step-by-step explanation: took the test

The height of the ladder will be;

⇒ 20√3 feet

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.

And, He places the ladder at a 60° angle with the ground.

Now,

Let the height of the ladder = h

So, We can formulate;

⇒ sin 60° = 30/h

⇒ √3/2 = 30/h

⇒ h = 30 × 2/√3

⇒ h = 20√3

Thus, The height of the ladder = 20√3 feet

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ3

need to divide 4 1/8 by 1 1/4

4 1/8 = 33/8

1 1/4 = 5/4

33/8 / 5/4 = 33/8 * 4/5 =  132/40 reduces to 33/10 = 3 3/10

100* 3 3/10 = 330 miles

Final answer:

Using the map scale of 1 1/4 inches equals 100 miles, and the measured map distance of 4 1/8 inches, the actual distance between the two cities is calculated to be 330 miles.

Explanation:

To find the actual distance between two cities on a map, we can set up a proportion based on the scale of the map. In this case, the scale is 1 1/4 inches = 100 miles. The measured distance on the map between the two cities is 4 1/8 inches.

We'll convert these measurements to an easier-to-calculate form by changing the mixed numbers to improper fractions.

First, we convert 1 1/4 inches to an improper fraction: 1 1/4 = 5/4 inches. Likewise, we convert 4 1/8 inches to an improper fraction: 4 1/8 = 33/8 inches. Now we set up the proportion using the scale.

(5/4 inches) / (100 miles) = (33/8 inches) / (x miles)

To solve for x, cross-multiply and divide:

(5/4) * x = (33/8) * 100
x = (33/8 * 100) / (5/4)
x = (33 * 100 * 4) / (8 * 5)
x = (33 * 4) / (2)
x = 66 miles

Therefore, the actual distance between the two cities is 330 miles.