The exponential function will be the amount of the saving account after $75 is invested at a rate of 11% for x number of years. Then the correct option is D.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
The first options are examples of the linear system.
The amount of the saving account after $75 is invested at a rate of 11% for x number of years is modeled as,
Amount = 75 (1 + 0.11)ˣ
Then the correct option is D.
More about the exponent link is given below.
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Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
Answer: 3
/4
Step-by-step explanation:
Exact Form: 3
/4
Decimal Form:
0.75
4.5% of 46.116 => 45/10·46.116/100
=>2.07522
So 4(2-d)>-12, simplify both sides of the inequality -4d + 8> -12, subtract 8 from both sides -4d+8-8>-12-8, -4d> -20, divide both sides by -4 which is -4d÷-4>-20÷-4, then the answer will come out to d<5.