Damien wants to deposit $1200 into savings accounts at three different banks: bank of chance, merchant bank, and utopian financing. he will deposit three times as much into merchant bank as bank of chance because they offer a higher interest rate. he also expects the utopian financing deposit to be only 20% of the total of the other two deposits. how much will damien deposit into the utopian financing savings account? $240 $250 $200 $750 . if you explain how you got the answer i will give you a medal

Damien will deposit $200 into the Utopian Financing savings account.

Step-by-step explanation:

3X (Merchant Bank) + 1X (Bank of Chance) + 02 x 4X (Utopian Financing) = $1,200

3X + 1X + (0.2 x 4X) = 1,200

3X + 1X + 0.8X = 1,200

4.8X = 1,200

X = 1200 / 4.8

X = 250

So, as the deposit in Bank of Chance will be of $250, and the deposit in Merchant Bank will be of $750 (three times the amount deposited at the Bank of Chance), both combined will be worth $1,000. As the deposit in Utopian Financing will be just the 20% of the other two deposits, it will be worth $200.

Damien will deposit $200 into the Utopian Financing savings account.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.