Answer: the worth of the prize today is $150000
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 0.07/12 = 0.0058
n = 150
Therefore,
PV = 1500[1 - (1 + 0.0058)^- 150]/0.0058
PV = 1500[1 - (1.0058)^- 150]/0.0058
PV = 1500[1 - 0.42]/0.0058
PV = 1500[0.58]/0.0058
PV = 1500 × 100
PV = $150000
Answer:
(6y + 2)² = 4x²
Step-by-step explanation:
Given: x - 1 = 3y
Dividing by 3,
⇒ y =
Now, to determine 6y, multiply the equation throughout by 6y.
⇒ 6y =
⇒ 6y = 2(x - 1)
⇒ 6y = 2x - 2
Now, for 6y + 2, add 2 on both sides.
⇒ 6y + 2 = 2x - 2 + 2
⇒ 6y + 2 = 2x
Finally, Squaring both sides, will give us (6y + 2)².
⇒ (6y + 2)² = (2x)²
= 4x² which is the required answer.
The formula for the area of a circle is
A=πr²
plug in the data we know
A=π*2.2²
since they want 3.14 to be used for π, lets add that in...
A=3.14*4.84
A=15.1976
round to the nearest tenth
A=15.2ft²
Answer=15.2ft²
Answer:
9
Step-by-step explanation: