Answer:
The correct option is (C).
Step-by-step explanation:
The exponential function representing decay is as follows:
Here,
<em>y</em> = final value
<em>y</em>₀ = initial value
<em>k</em> = growth rate
<em>t</em> = time passed
The graph represents exponential decay is:
"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."
Thus, the correct option is (C).
The amount of water in the pool after t minutes is modeled by the linear function , hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence , and:
Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309
Answer:
The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Step-by-step explanation:
The formula to compute the future value is:
PV = Present value
r = interest rate
n = number of periods.
It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.
The expression to compute the amount in the investment account after 14 years is,
The future value is:
Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Answer:Answer is option C : [ + 3x + 3 ] =0
Note: None of options matches with given question.
instead of "-3" , there should be "-".
Step-by-step explanation:
Note: None of options matches with given question.
instead of "-3" , there should be "".
Here, First thing you have to observe the nature of roots.
∴ x = -+
i and x = -
-
∴ [ x+(-
i) ][ x+(
+
i) ]=0
∴ [ + x(
+
i)+ x(
-
i) + (
-
i)(
+
i) ]=0
∴ [ +
x +
ix +
x -
ix + (3-
i)(3+
i) ] =0
∴ [ + 3x + (
-
i)(
+
i) ] =0
∴ [ + 3x +
- (
i)(
i) ] =0
∴ [ + 3x +
- (
)
] =0
∴ [ + 3x +
+ (
) ] =0
∴ [ + 3x +
] =0
∴ [ + 3x + 3 ] =0
Thus, Answer is option C : <em>[ + 3x + 3 ] =0 </em>