Answer:
Option (c) is correct.
The interest gained by Gini in 6 years is $ 866.34
Step-by-step explanation:
Given: Gina invests $1,677 in an account paying 8.61% simple interest annually for 6 years.
We have to calculate the interest gained by Gina in 6 years.
Using formula for simple interest

Where,
S.I = simple interest
P is principal
R is interest rate
T is time
Given : P = $ 1677
R = 8.61%
T = 6 years
Substitute, we get,

Simplify, we get,
S.I. = $ 866.3382
Rounding off to nearest hundred we get, Interest is $866.34
Thus, the interest gained by Gini in 6 years is $ 866.34
You have to organize the parameters of the real-world situation that is known and unknown. Also, you have to distinguish which of them are dependent and independent. Next, you assign letters as your variables. Lastly, you make an algebraic expression by translating the relationship into the mathematics.
The slope of this connecting line segment is
-1 - y 1 -(1+y)
m = ---------- = ----- = --------
10-6 4 4
Thus, 4 = -4(1+y), or 4 = -4 - 4y, or -8 = - 4y. y = 2 (answer)
Answer:
The length of the arc is 7.536cm
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 6cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 6cm
c = 37.68cm
The length of the circumference is 37.68cm
Now we calculate the fraction that corresponds to this arc with the rest of the circumference
(2 pi /5) / (2pi) = 1/5
now we multiply the circumference by the fraction
37.68cm * 1/5 = 7.536cm
The length of the arc is 7.536cm