Answer:
. An investment account earns 2.8% simple interest.
Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.
B). The price of a stock varies by 2.8% each week.
Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.
Therefore, the answer is NEITHER.
C). An investment account earns 2.8% compound interest, compounded monthly.
Formula to get the value of the final amount in the account is,
Final value = Initial value ×
Here 't' = Duration of investment
It's an EXPONENTIAL FUNCTION.
Step-by-step explanation:
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer: 3/5
Step-by-step explanation:
concept to know: the slope of perpendicular line is always opposite reciprocal
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Step 1. Find the slope of line t
(y2-y1)/(x2-x1)
=(4-9)/(10-7)
=-5/3
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Step 2. Apply the concept
Opposite reciprocal of (-5/3)=3/5
Hope this helps!! :)
Please let me know if you have any question
Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
Given:
The function is
where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,
Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
