Answer:
A) The numerator is 10.
B)The numerator is 18.
C)The numerator is 8.
D)The numerator is 16.
Step-by-step explanation:
A) 


The numerator is 10.
B) 


The numerator is 18.
C) 


The numerator is 8.
D)


The numerator is 16.
An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:
A) 
which is impossible
B) 
which is an equality
C) 
which has a unique solution
D) 
which has a unique solution
Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+
^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
The value of $500 after four years is $610
<u>Step-by-step explanation:</u>
It is given that, the value of $500 increases at a rate of 5% per year.
The exponential formula is given by
.
where,
- a is the initial amount.
- b is the growth factor
.
The growth factor b is replaced by either (1 + r) or by (1 - r).
where, r is the rate per year.
b= (1+r) represents the increase in growth rate.
b= (1-r) represents the decrease in growth rate.
Here, the growth rate is increased. So the formula is given by 
where,
- The initial amount, a = 500.
- Rate, r = 5% = 5/100 = 0.05
- Number of years, n= 4.
- y = value of the item after 4 years
<u>To find y value :</u>
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, the value of the item after four years is $610.