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WITCHER [35]
2 years ago
12

There are 40 mg of bacteria in the sample. The next day there are 50 mg of bacteria, and the following day there are 62.5 mg of

bacteria. The bacteria sample continues to grow exponentially. What function can be used to model this situation?
Answers

A A(t)=40(1.25)^t
B A(t)=40(.75)^t
C A(t)=50(.25)^2
D A(t)=50(1.25)^t
Mathematics
1 answer:
Yuliya22 [10]2 years ago
6 0
Don’t take my
Word for it but I think
It is C
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Simplifying Rational Expressions
Evgen [1.6K]
B^-2 / b^-3  = b^(-2-(-3) = b^1  = b

answer is d
4 0
3 years ago
Prakash bought a new car at the dealership for $27,000. it is estimated that the value of the car will decrease 7% each year. wh
Dennis_Churaev [7]

The exponential function models the value v of the car after t years is V = 27000 * (0.93)^t

<h3>How to determine the exponential model?</h3>

The given parameters are:

Initial value, a = $27,000

Depreciation rate, r = 7%

The value of the car is then calculated as:

V = a * (1 -r)^t

Substitute known values

V = 27000 * (1 - 7%)^t

Evaluate the difference

V = 27000 * (0.93)^t

Hence, the exponential function models the value v of the car after t years is V = 27000 * (0.93)^t

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brainly.com/question/11464095

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6 0
1 year ago
Anyone ...Pls solve
expeople1 [14]
Given:
- Bought n items of product A at 1/5 rs each
- bought n items of product B at 1/4 rs each
He mixed the two items and sold each at 2/9 rs each.
He lost 3 rs in the above batch of articles.

Solution:
revenue = 2n* (2/9) rs = 4n/9 rs
cost = n/5+n/4 rs = n(1/5+1/4)
Profit = revenue-cost = 4n/9-n(1/5+1/4) = -3 rs

Solve for n
4n/9-n(1/5+1/4) = -3 
factor out n
n(4/9-1/5-1/4)=-3
n(80-36-45)/180=-3
-n/180=-3
n=3*180=540

Total number of products bought
= n+n = 540+540 = 1080
6 0
3 years ago
What is the equation of the line that passes through the point (-2,-2)and has a slope of 2
SOVA2 [1]

Answer:

y+2 = 2(x+2)

Step-by-step explanation:

given point (a,b) and slope m, point slope form of a line is:

y-b = m(x-a)

3 0
3 years ago
From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle
Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ 1\text{ minute } =\frac{1}{60}\text{ degree }

20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}

50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}

By the below diagram,

tan ( 12^{\circ} 50') = \frac{8.20}{y}

tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}

tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}

\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}

Now, again by the below diagram,

tan (31^{\circ}20')=\frac{x}{y}

tan(31+\frac{1}{3})=\frac{x}{y}

\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0
3 years ago
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