Find the value of x in the isosceles triangle shown below. 2 2 12 10

Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin

katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula $A=P(1+\frac{r}{n})^{nt}$

In this formula A = amount after time t

P = principal amount

r = rate of interest

n = number of times interest gets compounded in a year

t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year $A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 15000(1+.06)^{1}$

$= 15000(1.06)$ = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

$A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 20900(1+.06)^{1}$

$= 20900(1.06)=22154$

So the final amount will be $22154.

3 0

3 years ago

In triangle ABC, P is a centroid on a median AD. If AD=33 and AP>PD find AP

jasenka [17]

Answer:

AP = 22

Step-by-step explanation:

In a triangle, the centroid divides the median in the ratio 2:1.

It is given that AD is the median and AD = 33

It is also given that P is the centroid on the median AD.

Therefore, P divides AD in the ratio 2:1.

$\frac{AP}{PD} =\frac{2}{1}$

AP = 2k and PD = k

AD = 33

AP + PD = 33

2k + k = 33

3k = 33

k = 11

So, AP = 2k = 2(11) = 22

7 0

3 years ago

A jet ski rental company charges a $100 rental fee, plus $20 per hour. Write and dole an equation to determine how many hours yo

adell [148]

3 hours because if u have 175 dollers and u spend 100 so now u have 75. 75 -20 is 55. then 55 - 20 is 35. then 35 - 20 is 15 so then you have 15 dollers to spare. so 3

4 0

3 years ago

Which graph represents an equation in the form =? Please help me!!

Genrish500 [490]

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation $y = x +1$ , let's replace the value of x:

When x = 0 → $y = 0 + 1 = 1$ . Therefore, the coordenate is (0, 1).

When x = 1 → $y = 1 + 1 = 2$ . Therefore, the coordenate is (1, 2).

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents $y = x +1$ .

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation $y = kx$ , but we don't know the value of k, so what should we do? It's easy:

k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

When If x = 0 → $y = 0 \times k = 0$ . So, this graph cross the coordinate (0,0).

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

8 0

2 years ago

Question 6

77julia77 [94]

Answer:

9.28/2.9=3.2is a required answer

4 0

2 years ago

Read 2 more answers