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nordsb [41]
2 years ago
7

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation

.
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

A(t)=5000(0.7)^t

Step-by-step explanation:

The problem presented is one in which the population of the bacteria  depreciates by a decay factor r every year.

Since it is a decay problem, we use the model:

A(t)=P(1-r)^t

Initial Population, P=5000

Decay Rate,r=30%=0.3

t=time interval

Therefore, the equation that represents this situation is:

A(t)=5000(1-0.3)^t

A(t)=5000(0.7)^t

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Liz and Andy make money selling jewelry at a local fair. Liz and Andy both sell necklaces for $8 each. Andy also sells bracelets
Gelneren [198K]

Equation for Liz:

L = 8n

Equation for Andy:

A = 8n + 35

Step-by-step explanation:

Let the no. of necklace be 'n'

Cost per necklace= $8

Equation for Liz:

L = 8n

Because Liz sells only necklace for $8 each

Equation for Andy:

A = 8n + 35

Because Andy sells each necklace for $8 and she sold the bracelets for $35

7 0
2 years ago
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Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
Trava [24]

Given:

In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.

To find:

The answer to complete the given statements.

Solution:

According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.

∠G = 110°, ∠J = 40° and ∠H = 30°.

Here, ∠G > ∠J = 40° and  ∠G > ∠H. So,  ∠G is the Largest angle.

Since angle G is  largest angle, the opposite side, JH, is  longest.

Clearly,

110° > 40° > 30°.

∠G >  ∠J  > ∠H

Using triangle side and angle relationship, we get

JH > GH > GJ

The order of the side lengths from longest to shortest is JH, GH ahd GJ.

8 0
2 years ago
A new car has a sticker price of $24,750, while the invoice price paid was $21,950. What is the dealer markup?
Irina18 [472]
2800 is the correct answer for APEX
7 0
2 years ago
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The average low temperature by month in Nashville is represented by the function
malfutka [58]

Answer:

<h2>33</h2>

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function  f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx  = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get  the average rate of change from March to  August as shown;

d[f(x)]/dx  at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

<em>Hence the average rate of change from March to August is 33</em>

4 0
2 years ago
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

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5 0
2 years ago
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