All categories

4 years ago

Solve the equation for t A=s(t+r)x

Mathematics

1 answer:

tester [92]4 years ago

6 0

Answer:

t = (A/sx) - r

Step-by-step explanation:

Solve for t like this:

$A = s(t+r)x\\A = sx(t+r)\\\\\frac{A}{sx} = t+r\\\frac{A}{sx} - r = t\\t= \frac{A}{sx} - r$

You might be interested in

Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local ne

PilotLPTM [1.2K]

Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.

6 0

3 years ago

An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen

nydimaria [60]

Answer:

Step-by-step explanation:

<u>Conditional Probability</u>

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

$P(A\cap B) \neq 0$

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

$\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}$

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

$P(U)=P(F)=50\%=0.5$

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

$P(F\cap H)=0.5\cdot 0.5=0.25$

If we had picked the unfair coin, the probability of getting heads is 0.32, so

$P(U\cap H)=0.32\cdot 0.5=0.16$

Being A the event of choosing the fair coin, and B the event of getting heads, then

$P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41$

$P(A\cap B)=P(F\cap H)=0.25$

$\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61$

The closest answer is

b. 0.6024

7 0

3 years ago

Can someone help me with these 2 polygons and how to figure out a circumference

Svetlanka [38]

The circumference of a circle is found by using the equation: C= 2 x PI x r

Both circles have r = 1

Circumference = 2x 3.14 x 1 = 6.28.

Diameter is 2 times the radius= 2x1= 2

The ratio of the circumference to the diameter = 6.28 / 2 = 3.14 which is the value of PI

7 0

3 years ago

Select the correct location on the coordinate plane. Ruhana owns a workshop where her team of technicians refurbishes TV sets an

yarga [219]

Answer:

Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

so we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

7 0

4 years ago

Which rule best described the following pattern 5,6,15,16,25,26,35

ad-work [718]

The pattern is increasing by 10 then a ding 1 to the next number. Hope this helps! :)

6 0

3 years ago