Answer:
The y-intercept of the line is B. (0,2)
(To find y make x=0)
Answer:
Step-by-step explanation:
1/2(13-5)+(4+8)^2
A. 148
B. 144
C. 20
D. 16
We must follow "PEMDAS" order of operations rules. Anything inside parentheses must be done first, followed by exponentiation, multiplication and division, and finally additionl and subtraction.
1/2(13-5)+(4+8)^2 has three sets of parentheses enclosing mathematical expressions: (1/2), (13 - 5) and (4 + 8). These evaluate to:
1/2, 8, 12
and so we now have (1/2)(8) + (12)^2
Exponentiation is next. We get: (1/2)(8) + 144
Next is multiplication: 4 + 144
Last is addition: 148
Answer A is correct: 148
8 x 9+4^2-(63/7)
is evaluated in the same way:
8 x 9+4^2-(9), followed by exponentiation:
8*9 + 16 - 9, followed by multiplication:
72 + 16 - 9 = 79 (Answer C)
Multiply by the conjugate and simplify.
−11/13 - 10i/13
Answer:
$17,506.73
Step-by-step explanation:
<u>Continuous Compounding Formula</u>

where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
Given:
- P = $10,000
- r = 7% = 0.07
- t = 8 years
Substitute the given values into the formula and solve for A:



Therefore, the value of the account after 8 years is $17,506.73 to the nearest cent.
Answer:
x = 1
Step-by-step explanation:
Answer:f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.