I need help with my quiz please help this is consuming me

The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years,

sasho [114]

Answer:

$y=500(1.05)^x$

Step-by-step explanation:

The standard form for an exponential equation is

$y=a(b)^x$

We have 2 unknowns, a and b, but that's all good because we have 2 (x, y) coordinates we can utilize in order to find a and b. In our coordinate pair, x is the number of years gone by and y is the value after that number of years. The problem tells us that an item was purchased for $500. That translates to "before any time has gone by, the initial value of the item is $500". In other words, with x being time, no time has gone by, so x = 0. When x = 0, y = 500. (0, 500). Do the same for the next set of numbers. When x = 2 years gone by, the value is $551.25, so the coordinate is (2, 551.25). Now we use them to find a. Use the first coordinate:

$500=a(b)^0$

Anything raised to the 0 power = 1, therefore:

$500 = a(1)$ and a = 500.

Now onto the next coordinate point using the a value we just found:

$551.25 = 500(b)^2$

Divide both sides by 500 to get

$1.1025=b^2$

so b = 1.05.

Now we have the values for a and b, so we fill in:

$y = 500(1.05)^x$

8 0

3 years ago

Help me with this please

Oksanka [162]

Answer:

Step-by-step explanation:

for x, then, 7 = (x1+5) /2

14 = x1 + 5

9 = x1

for y, then, 4 = (y1+7) /2

8 = y1 + 7

1 = y1

S = (9,1)

5 0

3 years ago

Two points are g phedo the comdinate plane.

lozanna [386]

Answer:

b

Step-by-step explanation:

yp

7 0

2 years ago

YO please help actually been waiting for an hour and a half cuz so many trolls lol. <3 giivng brainliest, and ty in advance g

kati45 [8]

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find $x$ , we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.