Answer:
<h2>The answer is $43623.50 </h2>
Step-by-step explanation:
This problem is on compound interest.
the expression for compound interest is given as
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given data
P= $2,500
r= 10/100= 0.1
t= 30 years
substituting into the expression for compound interest and solving for A we have
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The final amount is $43623.50
Her account balance is a result of Jenna’s(A annuity payments)
Answer:
n=31.5
Step-by-step explanation:
The given question is:
Cross multiply to get:
Expand the parenthesis:
Group similar terms:
Combine the like terms
Divide both sides by 4
n=31.5
Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero
Let x represent the smaller. Then x+1 is the greater of the two.
... x+1 = 2x +20
... 0 = x + 19 . . . . . subtract x+1
... x = -19
Your two integers are -19 and -18.
C. Yes because it passes the vertical line test