Answer:
80:56
Step-by-step explanation:
if you do 136-56, you get 80. therefore the number of games lost is 80. you already know he won 56, so the ratio is 80:56.
Answer:
the horizontal position for the left edge of the image is -4.46 cm.
Step-by-step explanation:
The horizontal midpoint of the page is:
21.59 / 2 = 10.79 cm
The horizontal midpoint of the image is given as:
30.51 / 2 = 15.25 cm
These midpoints must be on the same point in the axis.
By taking the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795 cm.
The distance that goes beyond this leftmost edge is computed as;
This is on the negative side on the axis.
Thus the horizontal position for the left edge of the image is -4.46 cm.
Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
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The amount of interest Molly will earn after 5 years on a deposit of
compounded annually over 5 years is ![\$27.63](https://tex.z-dn.net/?f=%5C%2427.63)
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
where
![A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5](https://tex.z-dn.net/?f=A%3D%5Ctext%7BAmount%20of%20money%20in%20Molly%27s%20account%20after%205%20years%7D%5C%5CP%3D%5Ctext%7BMolly%27s%20initial%20deposit%20into%20her%20account%7D%3D%5C%24500%5C%5Cr%3D%5Ctext%7BThe%20annual%20interest%20rate%20as%20a%20decimal%7D%3D0.05%5C%5Ct%3D%5Ctext%7BThe%20time%20the%20money%20is%20invested%20%28in%20years%29%7D%3D5)
Substituting the available values into the formula and solving
![A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63](https://tex.z-dn.net/?f=A%3D100%281%2B0.05%29%5E5%3D100%281.05%29%5E5%20%5Capprox%20%5C%24%20127.63)
The interest Molly will earn after 5 years is
![A-P=\$127.63-\$100=\$27.63](https://tex.z-dn.net/?f=A-P%3D%5C%24127.63-%5C%24100%3D%5C%2427.63)
Therefore, the amount of interest Molly will earn after 5 years on a deposit of
compounded annually over 5 years is ![\$27.63](https://tex.z-dn.net/?f=%5C%2427.63)
Learn more about compound interest here: brainly.com/question/21270833