I need urgent help this in for my final grade

In the summer a large pool evaporates water at 15% per day. If the pool starts out with 25,700 gallons of water, which function

JulijaS [17]

Answer:

$y=25,700(0.85)^{x}$

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

y ----> represent the pool’s loss of water

x ----> the number of days

a is the initial value

a=25,700 gal

b ----> is the base

r=15%=15/100=0.15

b=(1-r)=1-0.15=0.85

The function is equal to

$y=25,700(0.85)^{x}$

8 0

3 years ago

Vanessa wants to purchase a new cell phone plan. The two plans from which she can choose are shown below. Vanessa used the syste

user100 [1]

Answer:

2. 325 minutes.

Step by step explanation:

We will substitute our given number of minutes in our both equation one by one to find the correct option.

1. Let us substitute m= 775 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 775$

$CA=22+100.75=122.75$

$CB=44+0.09(m-100)$

$CB=44+0.09(775-100)$

$CB=44+0.09\cdot675$

$CB=44+60.75=104.75$

$104.75\neq122.75$

We can see that both plans have different costs , therefore, 1st option is incorrect.

2. Let us substitute m= 325 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 325$

$CA=22+42.25=64.25$

$CB=44+0.09(m-100)$

$CB=44+0.09(325-100)$

$CB=44+0.09\cdot 225$

$CB=44+20.25=64.25$

$64.25=64.25$

When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.Therefore, 2nd option is correct choice.

3. Let us substitute m= 32.5 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 32.5$

$CA=22+4.225=26.225$

$CB=44+0.09(m-100)$

$CB=44+0.09(32.5-100)$

$CB=44+0.09\cdot -67.5$

$CB=44-6.075=37.925$

$37.925\neq26.225$

4. Let us substitute m= 764 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 764$

$CA=22+99.32=121.32$

$CB=44+0.09(m-100)$

$CB=44+0.09(764-100)$

$CB=44+0.09\cdot 664$

$CB=44+59.76=103.76$

$121.32\neq103.76$

Therefore, 4th option is incorrect.

3 0

3 years ago

I need help on these problems please

Art [367]

The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.

5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3

Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.
$x + 80 = 105 \\ x = 105 - 80 \\ x = 25$
9.
$x + 72 = 135 \\ x = 135 - 72 \\ x = 63$

6 0

3 years ago

Find the values of the variables and the measures of the angles

yuradex [85]

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

8 0

2 years ago

Read 2 more answers

Name all 4 angels shown in the picture

MrMuchimi

<h3>The angles are:</h3>

∠ABC
∠CBE
∠DBE
∠ABD

Hope it helps

4 0

2 years ago