Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer:
The number is 
students
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
Generally
So
From the z table the value of 
and 
The percentage is 
The number of students that will get this score is
Answer: 985 g
Step-by-step explanation:
Total mass = 8 × 500g = 4000g
Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.
4000g = X + Y + Z
let's put X and Z in terms of Y, since we're trying to solve for the second pack.
X = 2Y, and Z = Y + 60
Therefore,
4000 = X + Y + Z
4000 = 2Y + Y +Y + 60
4000 = 4Y +60
4000 - 60 = 4Y
3940 = 4Y
3940 ÷ 4 = Y
985g = Y = mass of the second pack
The answer is 9 because half of 14 is 7, and 7+2=9
