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Yanka [14]
2 years ago
8

1. Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.75

%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 33 h from the start of the experiment. Round to the nearest whole number.
Mathematics
1 answer:
MatroZZZ [7]2 years ago
8 0

The exponential function is y = 650(1.0475)ˣ

<h3>Exponential equation</h3>

A Exponential equation is in the form:

y = abˣ

where y, x are variables, b is the multiplier and a is the initial value.

Let y represent the bacteria population after x hours.

a = 650 bacteria

b = 100% + 4.75% = 1.0475

The exponential function is y = 650(1.0475)ˣ

After 33 hours:

y = 650(1.0475)³³ = 3006

Find out more on Exponential equation at: brainly.com/question/2456547

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3 years ago
(7p+8)-(5p-2) combine like terms
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The answer is:<span>
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8 0
3 years ago
Robin, who is self-employed, contributes $4500/year into a Keogh account. How much will he have in the account after 30 years if
pashok25 [27]

Answer:

The amount that would be in the account after 30 years is $368,353

Step-by-step explanation:

Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly

We proceed to use the formula below;

A = [P(1 + r)^t-1]/r

From the question;

P is the amount deposited yearly which is $4,500

r is the interest rate = 2.5% = 2.5/100 = 0.025

t is the number of years which is 30

Substituting these values into the equation, we have;

A = [4500(1 + 0.025)^30-1]/0.025

A = [4500(1.025)^29]/0.025

A = 368,353.3309607034

To the nearest whole dollars, this is;

$368,353

4 0
2 years ago
Help!! Find missing value for each quadratic function
Svetllana [295]

I'll do the first one to get you started. The answer is -3

=================================================

Explanation:

When x = -1, y = 0 as shown in the first column. The second column says that (x,y) = (0,1) and the third column says (x,y) = (1,0)

We'll use these three points to determine the quadratic function that goes through them all.

The general template we'll use is y = ax^2 + bx + c

------------

Plug in (x,y) = (0,1). Simplify

y = ax^2 + bx + c

1 = a*0^2 + b*0 + c

1 = 0a + 0b + c

1 = c

c = 1

------------

Plug in (x,y) = (-1,0) and c = 1

y = ax^2 + bx + c

0 = a*(-1)^2 + b(-1) + 1

0 = 1a - 1b + 1

a-b+1 = 0

a-b = -1

a = b-1

------------

Plug in (x,y) = (1,0), c = 1, and a = b-1

y = ax^2 + bx + c

0 = a(1)^2 + b(1) + 1 ... replace x with 1, y with 0, c with 1

0 = a + b + 1

0 = b-1 + b + 1 ... replace 'a' with b-1

0 = 2b

2b = 0

b = 0/2

b = 0

------------

If b = 0, then 'a' is...

a = b-1

a = 0-1

a = -1

------------

In summary so far, we found: a = -1, b = 0, c = 1

Therefore, y = ax^2 + bx + c turns into y = -1x^2 + 0x + 1 which simplifies to y = -x^2 + 1

------------

The last thing to do is plug x = 2 into this equation and simplify

y = -x^2 + 1

y = -2^2 + 1

y = -4 + 1

y = -3


3 0
3 years ago
Is paid an annual salary of $26,000. Find the Pat's weekly salary
elena-s [515]

Answer:500

Step-by-step explanation:26,000/52=500 i did<em> $26,000</em> divided by 52 because there are<em> </em><em>52 weeks in a year</em> and it gave me <em>500</em> so that is how i got the answer

8 0
3 years ago
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