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Vera_Pavlovna [14]
3 years ago
12

A chemist claims that he has found a chemical formula that will kill a certain bacteria. He claims it will kill half the bacteri

a in 40 seconds, and in the next 40 seconds kill half of the remaining half, and so on. If he is correct, and at a certain time there are 30 bacteria still alive, how many bacteria were alive 4 minutes earlier?
PLEASE EXPLAIN CLEARLY !!
Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer:

4 Minutes = 240 seconds = 6*40 seconds

30*(1/2)^6 = 30*1/64 = 30/64 = 15/32 = 0.5

4 minutes later there is approx. 0 to 1 bacteria alive.

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Grace is planning on purchasing an Akai Professional MPC5000 drum machine for $2195. She's been pre-approved to finance her purc
Genrish500 [490]

1) Her monthly payment is $40.97 if she finance the total amount

2) She will pay $2458.2 for the MPC5000

3)Her monthly payment will be $26.50 if she pay her saved up money upfront

4) She will pay $2365.4 for the MPC5000

5) Yes, I recommend to pay the $775 upfront . If she pay upfront, then the amount she needs to pay for the MPC5000 is less.

Step-by-step explanation:

The cost of the drum machine is $2195

The APR is 12% over 60 months

1) the APR for 60 months is 12%

So, the APR for 1 month is

12/60 = 0.2%

The interest per month = 0.2% of 2195

= (0.2 x 2195) / 100

= 4.39

The amount to be paid per month is

= monthly amount + interest

= (2195/60) + 4.39

= 36.58 + 4.39

=$ 40.97

2) If she pays $40.97 per month then the total payment (for 60 months) for the drum machine

= 40.97 x 60

= $ 2458.2

3) the total cost is $2195 out of which she pays $775 upfront.

So she have to borrow less .

The amount to be financed is

2195- 775= $1420

The monthly interest is,

(0.2 x 1420) /100 = 2.84

Monthly she have to pay

23.66+ 2.84= $26.50

4) If she pay $775 upfront then the remaining $1420 is financed

Her monthly payment is $26.50

Then for 60 months she will pay,

26.50 x 60= $1590.4

The total amount paid for the drum machine is

775+1590.4 =$2365.4

4 0
3 years ago
Which of the following is not a congruence transformation? A) a reflection over the axis b) a dilation with scale factor 0.5 c)
Wewaii [24]
It would be c because this isn't transforming it
6 0
3 years ago
When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper
galben [10]
For this case, what we are going to do is use the following property:
 Multiply an equation by a scalar.
 In this case, the scalar will be:
 k = -2
 We have then that equation 2 will be:
 k * (4x + y) = k * 1
 -2 * (4x + y) = - 2 * 1
 -8x-2y = -2
 Answer:
 The property that justifies this manipulation is:
 Multiply an equation by a scalar.
4 0
3 years ago
On a road trip, london and his friends see 10 cities over 5 days. How many cities Landon and his friends will see in 8 days? Sol
Svetlanka [38]

Answer:

16 cities

Step-by-step explanation:

if 5days = 10 cities

8days=?

applying cross multiplication :

(8days × ten cities )÷5 day

= 16 cities

6 0
2 years ago
Use synthetic division to solve (x^3 + 1) ÷ (x – 1). What is the quotient?
timurjin [86]

Answer:

(x^{2} +x+1)(x-1)+2

Step-by-step explanation:

The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.

step 1:  Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.

1 |     1   0   0   1

step 2: Lower the main coefficient to the third row.

1 |     1   0   0   1

       1

Step 3: Multiply 1 by the main coefficient 1.

1 |     1   0   0   1

            1

       1

step 4: Add the elements of the second column.

1 |     1   0   0   1

            1

       1    1

step 5: Then repeat step 4 until the constant term 1 is reached.

1 |     1   0   0   1

            1    1    1

       1    1   1     2

step 6: Enter the quotient and remainder

quotient:  x^{2} + x + 1

remainder:  2

Solution:   x^{2} + x + 1 (x+1)  + 2

3 0
3 years ago
Read 2 more answers
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