PLEASE HELP ASAP. GIVING BRAINLIEST
Gizmo is investing in TikTok stock. He plans on adding an additional $250 at the end of every year and the expected monthly rate of return is 8.3% of the amount invested, calculated at the end of the month. If he starts with $425 in the account, write an equation that models the amount of money in the account each month for the first year.

The equation is y = x + 35.275.

Step-by-step explanation:

Step 1; Gizmo starts at $425 and the monthly rate of return is 8.3%. So every month he gets back 8.3% of the $425 he starts with. To calculate how much 8.3% of $425 is we make 8.3% a fraction by dividing it by 100 and multiplying it with the amount.

8.3% of $425 = × $425 = 0.083 × $425 = $35.275.

So every month $35.275 is added to the balance of the account.

Step 2; Assume y is the amount of money in the account at the end of the month while x is the amount of money at the end of the previous month's end. Using x and y we can form the following equation,

y = x + 35.275.

For the first month,       y = x + 35.725 = 425 + 35.725 = $460.725.

For the second month, y = x + 35.725 = 460.725 + 35.725 = $496.45.

For the third month,     y = x + 35.725 = 496.45 + 35.725 = $532.175.

For the fourth month,   y = x + 35.725 = 532.175 + 35.725 = $567.90.

For the fifth month,      y = x + 35.725 = 567.90 + 35.725 = $603.625‬.

For the sixth month,     y = x + 35.725 = 603.625‬ + 35.725 = $639.35.‬

For the seventh month, y = x + 35.725 = 639.35‬ + 35.725 = $675.075‬.

For the eighth month,    y = x + 35.725 = 675.075‬ + 35.725 = $710.80.

For the ninth month,     y = x + 35.725 = 710.80 + 35.725 = $746.525‬.

For the tenth month,     y = x + 35.725 = 746.525‬ + 35.725 = $782.25.

For the eleventh month,y = x + 35.725 = 782.25 + 35.725 = $817.975‬.

For the twelfth month,    y = x + 35.725 = 817.975‬ + 35.725 = $853.70

Gizmo then adds $250 to the $853.70 at the beginning of the second year‬.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.