Answer:
Step-by-step explanation:
n is the number of times the interest compounds per year. If the interest in this problem only compounds once per year ("annually"), then n = 1 and you'd be just as well off to use the formula:
When n = 1, r/n is just r. But I'll show you using the formula they want you to use; it's the same anyways.
For us, P = 500, r = .015, n = 1. Filling that into the formula:
which simplifies down to
and
(see what I meant about not having to use the formula with "n" in it if n 1?)
That formula is the answer to part a. For part b, we are to find how long it takes for the account to reach $800. $800 goes in for A:
Begin by dividing both sides by 500 to get:
The only way to bring that t down from its current exponential position is to take the natural log of both sides. I will do that and at the same time apply the power rule for logs which says the exponent will come down out in front of the log:
Divide both sides by ln(1.015):
Do this on your calculator to find that
t = 31.5 years
I’ll mark you as a brainliest
Answer:
y=mx+b <3 have a nice day!
Step-by-step explanation:
False.
Reflectional symmetry, as the name suggests, is a property a design has if it maintains all characteristics when it is reflected with respect to some axis. This means that you must choose a line, and make it act as a mirror.
For example, you can consider a square, and one of its diagonal. If you "flip" the figure with respect to said diagonal, the square will remain the same.
Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry so the given statement is False.
Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will bit that (x,y) → (y,x).
If we want to reflect any graph or curve then we need to take a reference axis or line.
If the line is a line of symmetry then the length, with and remaining gall characteristics will remain the same.
Thus, the reflection must be the point of the axis.
Hence "The preceding statement is False because reflective symmetry is the property that a design possesses if it retains all attributes when it is rotated about a line of symmetry".
To learn more about the transformation of graphs,
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Answer:
it takes ten tickles for an octopus to laugh
a. 3
b. 1 1/2
c. 2
d. 1
Answer:
Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors
Step-by-step explanation:
Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.
From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.
Now, we want to make a calculation for the amount of wood needed for 2100 sailors.
Let’s have it this way;
40 tons = 300 sailors
x tons = 2100 sailors
So mathematically,
x * 300 = 2100 * 40
x = (2100 * 40)/300
x = 280 tons of wood
We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors
Answer:
280 tons of wood
Step-by-step explanation:
Khan
Let w and l be the dimensions (width and length, respectively) of the coop.
We know that the length of the coop is 4 feet less than twice the width, which means that
Also, the area is 510, but the area is the product of the dimensions, so we have
Plug the expression for l in the formula for the area:
We can divide the whole expression by 2 and solve it with the quadratic formula:
So, the two solutions are
The negative solution makes no sense (we can't have negative lengths), so the width must be 17.
We conclude that the length is
The length of the chicken coup is found to be 30.689 feet by setting up and solving a quadratic equation for the area of the rectangle.
To find the length of the chicken coop, we need to use the given information. Let's first define the width of the coop as 'w'. According to the problem, the length of the coop is 4 feet less than twice the width. So, the length can be represented as 2w - 4. The area of a rectangle is given by length multiplied by width. Hence, we have the equation (2w - 4)w = 510. Solving this equation will give us the width and length of the chicken coop.
Expanding the equation, we have 2 - 4w = 510. Rearranging it to the standard quadratic form, we get 2 - 4w - 510 = 0. To solve this quadratic equation, we can either use factoring, completing the square, or the quadratic formula. Factoring doesn't seem to work in this case, so let's use the quadratic formula: w = (-b ± sqrt( - 4ac)) / (2a). Substituting the values a = 2, b = -4, and c = -510 into the formula, we can find the values of w. Taking into account the physical context, we can discard the negative value. Once we have the value of w, we can substitute it into the equation for the length, 2w - 4, to find the length of the chicken coop.
So, the width of the chicken coop is approximately 17.355 feet and the length is approximately 30.689 feet.
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