Answer:
47 and 29
Step-by-step explanation:
(26+5) x 2 - 15 =?
31 x 2 - 15
62 - 15
47
5^{2} + 8 divided by 2 =?
(5 x 5) + 8/2
25 + 4
29
or you mean: ( 5^{2} +8 ) /2
(25+8) /2
33/2
16,5
Answer:
$5564.87
Step-by-step explanation:
We are to determine the difference between the future values of each investment
The formula for calculating future value:
FV = P (1 + r)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
Madeline
P = Present value = 51,000
R = interest rate = 0.06125 / 365 = 0.000168
N = number of years = 13
m = number of compounding = 365
51,000 x (1.000168)^4745 = 113,070.20
Harper
51,000 x (1.004792)^156 = 107,505.33
Difference = 113,070.20 - 107,505.33 = $5,564.87
K = y/x
k = 30/2
k = 15 <=== constant of proportionality
Answer:
6(x - 1)(3x + 1)
Step-by-step explanation:
Given
18x² - 12x - 6 ← factor out 6 from each term
= 6(3x² - 2x - 1) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 1 = - 3 and sum = - 2
The factors are - 3 and + 1
Use these factors to split the x- term
3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )
= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)
= (x - 1)(3x + 1)
Hence
18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form
