Answer:
s = 4·3^t
Step-by-step explanation:
After the first term, each term in the sequence is 3 times the previous one. This is a description of a geometric sequence. Here, the first term is 4, so the general term is ...
an = 4·3^n . . . . for n counting from 0
We can name the function "s" for "speed" and use "t" for the time in seconds. Then the equation is ...
s = 4·3^t
Answer:
B
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular end × length
area of Δ = bh
where b is the base and h the perpendicular height
here b = 8 and h = 5, so
area = 0.5 × 8 × 5 = 20 units²
the length of the prism is 10, hence
V = 20 × 10 = 200 units³
Hey. Let me help you on this one.
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that
, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.
Let's simplify the equation so it's easier and less confusing for us to solve it.
Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.
"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.
"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.
Answer: Area of the rectangle is 138.8 (with 8 repeating).
Answer:
the teacher had 503 dominoes for the game.
Step-by-step explanation:
In order to find the answer, first you have to find the amount of dominoes the teacher purchased by multiplying the number of packs for the number of dominoes in each pack:
7*55=385
Now, since the stament indicates that the teacher already had 118 dominoes to use in the game, you have to add this amount to the number of dominoes that were purchased:
385+118=503
According to this, the answer is that the teacher had 503 dominoes for the game.
Answer: It will take him 1.68 years to recover his initial investment.
First, find the amount of extra money that he will make.
34,000 - 13,000 = 21,000
He will be making an extra 21,000 per year.
Now, divide the cost of his training by the amount of his increase.
35200 / 21000 = 1.68
That gives you the amount of years it will take him to pay off his investment.