Answer:
Final amount = 25,407.4
Step-by-step explanation:
A = P ( 1 + 
A = final amount
P = initial principal balance
r = interest rate
t = number of times interest applied per time period
Here P = 2000
r = 4 %
n = 3 years
A = 2000( 1 +
)³
= 2000(
)³
= 2000 × 
= 25,407 .4
Final amount = 25,407.4
Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
<em>m</em> = 1/2
y = 1/2x + b
Step 2: Find <em>b</em>
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
Answer:
A function corresponds to one unique value of x and y hence A
We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.