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liq [111]
2 years ago
10

Ana can swim at a rate of

Mathematics
1 answer:
NeTakaya2 years ago
5 0
It’s 60 miles an hour rate
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PLEASE HELP
adell [148]
We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²

in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd

the answer is
8 yd
4 0
3 years ago
Read 2 more answers
Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

A=1,179.21

The account balance after 10 years will be $1,179

8 0
3 years ago
Hurry Please!!!! IF ANSWER WILL MAKE BRAINIEST ANSWER <br> Which expression is equivalent to
coldgirl [10]
See attached picture for answer

4 0
3 years ago
Read 2 more answers
Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
2 years ago
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
olga nikolaevna [1]

Answer:

  • See below

Step-by-step explanation:

<u>We have:</u>

  • p = -1/5x + 100 = -0.2x + 100

a) <u>The revenue is:</u>

  • R = px
  • R = x( -0.2x + 100)
  • R= -0.2x² + 100x

b) <u>x = 200, find R:</u>

  • R = -0.2(200²) + 100(200) = 12000

c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>

  • x = -100/(-0.2*2) = 250 is the required quantity

d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>

  • The maximum possible is p = 100 when x = 0
5 0
2 years ago
Read 2 more answers
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