Aman invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. he puts twice as much in the lower-yielding account because it is less risky. his annual interest is $5786 dollars. how much did he invest at each rate?

at 10 % amount will be $26300

at 6 % amount will be $52600

Step-by-step explanation:

given data

rate r1 = 6%

rate r2 = 10 %

interest = $5786

to find out

How much he invest

solution

we know man save at rate 6% and 10 %

and get interest $5786

so we consider invest amount at 10%  = x

and so  invest amount at 6%  = 2x

so interest equation will be

0.10(x) + 0.06(2x) = 5786

0.10 x + 0.12x = 5786

0.22 x = 5786

x = 26300

so

at 10 % amount will be $26300

at 6 % amount will be $52600

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'.

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step-by-step explanation:

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