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Sergio039 [100]

4 years ago

8

A bacterium reproduces by dividing into two, and after a certain growth period, it divides into two again. As the bacteria conti

nues to divide, it will continue to divide in two. How many bacteria will be in a system starting with a single bacterium AFTER 20 divisions?

1 answer:

stich3 [128]4 years ago

4 0

10 I think I’m not really sure give me more info

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Mathmerica Bank offers 2.1% interest compounded yearly

Scilla [17]

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

6 0

3 years ago

1. Solve the following simultaneous equations using the matrix method.

dmitriy555 [2]

(i) Use the formula for the determinant of a 2×2 matrix.

$\begin{vmatrix}a&b\\c&d\end{vmatrix} = ad-bc$

$\implies \det(A) = \begin{vmatrix}4 & -3 \\ 2 & 5\end{vmatrix} = 4\times5 - (-3)\times2 = \boxed{26}$

(ii) The adjugate matrix is the transpose of the cofactor matrix of A. (These days, the "adjoint" of a matrix X is more commonly used to refer to the conjugate transpose of X, which is not the same.)

The cofactor of the (i, j)-th entry of A is the determinant of the matrix you get after deleting the i-th row and j-th column of A, multiplied by $(-1)^{i+j}$ . If C is the cofactor matrix of A, then

$C = \begin{pmatrix}5&-2\\3&4\end{pmatrix}$

Then the adjugate of A is the transpose of C,

$\mathrm{adj}(A) = C^\top = \boxed{\begin{pmatrix}5&3\\-2&4\end{pmatrix}}$

(iii) The inverse of A is equal to 1/det(A) times the adjugate:

$A^{-1} = \dfrac1{\det(A)} \mathrm{adj}(A) = \boxed{\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix}}$

(iv) The system of equations translates to the matrix equation

$A\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}6\\16\end{pmatrix}$

Multiplying both sides on the left by the inverse of A gives

$A^{-1}\left(A\begin{pmatrix}x\\y\end{pmatrix}\right)=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\left(A^{-1}A\right)\begin{pmatrix}x\\y\end{pmatrix}=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\boxed{\begin{pmatrix}3\\2\end{pmatrix}}$

4 0

2 years ago

Find 35% of 480 and show how you got it

Margaret [11]

Answer:

35% of 480 = 168

Step-by-step explanation:

35/100 * 480

= 168

6 0

3 years ago

9There are 10 blue marbles, 4 green

Sveta_85 [38]

<h3>Answer</h3>

4/16

Step-by-step explanation:

you have to add 10 + 4 + 5 + 1 add that to a equation which would make 100% or 200% whichever and then you remove the 4 green from what is added and make it 4/16

4 0

3 years ago

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted

lions [1.4K]

Answer:
$34
$26.5
Step-by-step explanation:
Membership cost per month = $25
Price of a slice of pizza for members= $1.50
How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month
Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza
= $25 + $1.50(6)
= $25 + $9
= $34
What would be the
monthly cost for a slices of pizza
Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza
= $25 + $1.5
= $26.5

7 0

3 years ago

Read 2 more answers