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:
A. x = 2 and y =2
B. x = 3 and y = -1
Step-by-step explanation:
A. {
x = 3y − 4
2x − y = 2
1) Substitute the value of x
2(3y − 4) − y = 2
2) Solve the equation for y
y = 2
3) Substitute the value of y
x= 3(2) -4
4) Solve the equation for x
x = 2
Final Solution: x = 2 and y =2
B. {
3x + 2y = 7
−x + y = −4
1) Multiply both sides of the equation by 3
-3x + 3y = -12
2) Eliminate one variable by adding the equations
3x + 2y = 7
<u>+ (−3x + 3y = −12)</u>
5y = -5
3) Divide both sides of the equation by 5
y = -1
4) Substitute the given value of y into the equation -x + y = -4
-x + (-1) = -4
5) Solve the equation for x
x = 3
Final Solution: x = 3 and y = -1
N-2= 1/16
⇒ n= 1/16+ 2 (inverse operation)
⇒ n= 2+ 1/16
⇒ n= 2 1/16
Final answer: n= 2 1/16.
Answer:
0.98
Step-by-step explanation:
Work Shown:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.13 + 0.85 - 0
P(A or B) = 0.98
Note that P(A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.
