Connor invested $8,000 in an account paying an interest rate of 82% compounded monthly. Henry invested $8,000 in an account paying an interest rate of 8 %
compounded daily. After 5 years, how much more money would Henry have in his
account than Connor, to the nearest dollar?

Connor would have $83.37 more than Henry.

Step-by-step explanation:

Connor:

Initial investment= $8,000

Interest rate= 8.2% = 0.082/12= 0.00683

Number of periods= 12*5= 60 months

Henry:

Initial investment= $8,000

Interest rate= 8% = 0.08/365= 0.00022

Number of periods= 365*5= 1,825 days

To calculate the future value, we need to use the following formula on each investment:

FV= PV*(1+i)^n

Connor:

FV= 8,000*(1.00683^60)

FV= $12,035.35

Henry:

FV= 8,000*(1.00022^1,825)

FV= $11,951.98

Difference= 12,035.35 - 11,951.98= $83.37

Connor would have $83.37 more than Henry.

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'.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25