I Joshua invested $97,000 in an account paying an interest
rate of 6% compounded daily. Assuming no deposits or
withdrawals are made, how much money, to the nearest
cent, would be in the account after 8 years?

$154,763.5

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value

P = present value

r = interest rate

n = number of periods

t = time (years)

P = 97,000

r = 6% = 0.06

n = 365

t = 8 years

A = P(1 + r/n)^nt

= 97,000(1 + 0.06/365)^365*8

= 97,000(1 + 0.00016)^2,920

= 97,000(1.00016)^2,920

= 97,000(1.5955)

= 154,763.5

A = $154,763.5

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

14

step-by-step explanation: