Answer:the balance after 7 years is $3216
Step-by-step explanation:
A) Initial amount deposited into the account is $2800 This means that the principal,
P = 2800
It was compounded yearly. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for 7 years. So
t = 7
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 2800(1 + 0.04/2)^ 1× 7
A = 2800(1 + 0.02)^7
A = 2800(1.02)^7
A = $3216
Answer: d. 102
Why
If 6 is 78 then 5 is 102 and since 1,3,5,and 7 are equal 3 is 102. [180-78=120(180 is the straight line)]
Answer:
The missing terms are 768, 192, 48.
Step-by-step explanation:
From the given geometric sequence
First term= a_1=3072
Fifth Term= a_5=12
The general form of a geometric sequence is:
a_n=ar^(n-1)
here a_nis the nth term, a is the first term and r is the common ratio.
We will use the general form for term 5 to calculate the value of r.
So the general form for term 5 will be
a_5=3072* r^(5-1)
Putting the value of a_5
12=3072* r^4
r^4= 12/3072
r^4= 1/256
r^4= 1/[(4)^4]
Solving for r
r= 1/4
Now
a_2= ar^(2-1)
a_2=3072*r
a_2=3072* 1/4
a_2=768
a_3= ar^(3-1)
a_3=3072*r^2
a_3=3072*(1/4)^2
a_3=3072* 1/16
a_3=192
a_4= ar^(4-1)
a_4=3072*r^3
a_4=3072*(1/4)^3
a_4=3072* 1/64
a_4=48
Answer:
Option C is the answer.
Step-by-step explanation:
Given diameter is = 2 miles
So, radius will be = 1 mile
Let t represents the number of hours it took Johanna to walk completely around the lake.
Now, the circumference is given as: 
So, circumference = 
= 6.28 miles
Johanna's speed = 3 miles/ hour
We know the formula 
t = 
t = 2.09 hours
This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.
Answer:
(x+5, y-3)
Step-by-step explanation:
I would say this because when a plane is translated up it would be positive and when it's translated to the left it would be negative,
