<span>Let the height of the flagpost be h.
Then,
h/48 = 5/12
h = 20 feet.</span>
Sum of the geometric series: S=?
S=(-2)(-3)^(1-1)+(-2)(-3)^(2-1)+(-2)(-3)^(3-1)+(-2)(-3)^(4-1)
S=(-2)[(-3)^0+(-3)^1+(-3)^2+(-3)^3]
S=(-2)[1+(-3)+9+(-27)]
S=(-2)(1-3+9-27)
S=(-2)(-20)
S=40
Answer: Third option 40
Answer:
39.5
Step-by-step explanation:
Open the bracket by multiplying the numbers in the bracket by 2
2x-20=59
collect like terms(-20 crossing over the equal sign will become +20
2x=59+20
2x=79
Divide both sides by 2
x=39.5
Unfortunately, the expression is not factorable with rational numbers.
Answer:the amount of the initial investment was $4165
Step-by-step explanation:
Let P represent the Initial amount of money invested. This means that the principal is P
It was compounded 3 times in a year. So
n = 3
The rate at which the principal was compounded is 4.61%. So
r = 4.61/100 = 0.0461
It was compounded for 6 years. So
t = 6
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. After 6 years, the balance reaches $5485.85. It means that
A = 5485.85
Therefore
5485.85 = P(1+0.0461/3)^3 × 6
5485.85 = P(1.0154)^18
P = 5485.85/1.317 = 4165.4
