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Black_prince [1.1K]
3 years ago
14

What is the average velocity of Runner C for the first 15 seconds?

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:the average velocity of the particle is, 1.4 meter/second.

Step-by-step explanation:

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Jessica went shopping and bought a pair of jeans that were on sale for 25% off the original price of $23.98. A 6% tax was also a
Ghella [55]

Answer:

$19.07

Step-by-step explanation:

First off we need to find the discounted price of the jeans that Jessica bought.

We find the discount by multiplying the original price by 25% or 0.25

Discount Price = 23.98 x 0.25

Discount Price = 5.99

Now we subtract the discount from the original price.

Discounted Price = 23.98 -5.99

Discounted Price = 17.99

Now that we have the discounted price, we then compute for the sales tax.

Sales Tax = 17.99 x 0.06

Sales Tax = 1.08

Then we add the sales tax to the discounted price.

Total Price = 17.99 + 1.08

Total Price = $19.07

Jessica spent $19.07 on the jeans.

6 0
3 years ago
A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
3 years ago
Help please, I don't know how to answer....
Alchen [17]

Step-by-step explanation:

the last one

x^2+2x+1 R(-5)

6 0
3 years ago
Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
Tabby read 254 pages in 8 days. What is her unit rate in pages per day?
Agata [3.3K]

Answer:

31.75 round it off to 32 pages per day

Step-by-step explanation:

254/8=31.75 but you cant but a decimal so its 32

5 0
3 years ago
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