The answer is C. go with it.
Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = 
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² = ⇒ a = ± 
Solutions are a = ± 1 , a = ±
Answer:
.18
Step-by-step explanation:
if ^2 is an exponent
(-16t*-16t)+8t+48
(258t+8t)+48
266t+48
48/266
.180
or .18
Answer:
B- Line Q
Step-by-step explanation:
Line Q is practically in the middle of the dots. It is called a trend line btw. :)
Answer:
17 years
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r, compounded n times per year for t years.
Filling in the numbers and solving for t, we find ...
16826.03 = 8534(1 +.04/12)^(12t)
16826.03/8534 = 1.0033333...^(12t)
Taking logs, we have ...
log(16826.03/8534) = 12t·log(1.0333333...)
Dividing by the coefficient of t gives ...
log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000
It will take 17 years for the account balance to reach $16,826.03.
