Hi there!
While there are no answer choices provided, here's how you can solve a problem like this.
To find the average of two numbers, you simply sum them up and divide by two!
For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!
For 100 and 580, adding gives you 680, and dividing by 2 results in 340!
The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!
Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!
So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!
I hope this information helps!
<span>-|2x-10|-1=2 has ZERO solutions since the absolute value function cannot yield negative outcomes. It can equal 0 or be positive, but it can never be negative.
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Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
Answer:
A sum of $12,000 should be allocated at an interest rate of 5.25%, while $13,000 should be put in at 4%.
Step-by-step explanation:
Recall that
The simple interest formula is given by

where
I represents the total interest earned,
P is the initial investment,
r stands for the interest rate, and
t is the number of time periods.
Define
x as the amount invested at 5.25%,
and (25,000 - x) as the amount put in at 4%.
From the problem,

Plugging these into the formula:


Now, isolate x:





Hence, investing $12,000 at 5.25% and $13,000 at 4% meets the required interest condition.
d Step-by-step explanation: when f(x)=5......It can also be expressed as f(x)=1/125(625x). This is applicable to any whole number over one, with 1(625x)=625x. Therefore, since 125(1)=125, we find (625/125)x=5x.