Which method should be used to solve for x?

The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

Len [333]

Answer:

C. 270 grams

Step-by-step explanation:

-This is an exponential growth function which can be expressed using the formula:

$P_t=P_oe^{rt}$

Where:

$P_t$ is the size at time t.
$P_o$ is the initial size
$r$ is the growth rate
$t$ is the time

Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

$30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931$

We use this calculated rate to determine the population at t=6

$P_t=P_oe^{rt}\\\\=10e^{6\times \frac{In \ 3}{2}}\\\\=270\ grams$

Hence, the bacteria's size at t=6 is 270 grams

8 0

2 years ago

Sophia and Scott each open a bank account with an initial deposit of $50 each. Scott planned to save 30% of his earnings from hi

scoray [572]

Answer:

During the 9th week

Step-by-step explanation:

Scott: 50 + (0.3)(8×25)t

= 50 + 60t

Sophia: 50 + 45t + 30(t-4)

= -70 + 75t

60t + 50 = 75t - 70

15t = 120

t = 8

After 8 weeks they will have the same amount,

Which is during the 9th week

6 0

2 years ago

in 1990 automobile dealership sold certain model car for $14 and 649 cents in 2000 so the same model car for $23 and 609 cents f

Virty [35]

The original prize: 14.649

New prize: 23.609

(the years here are not relevant, just to confuse you with more numbers)

the increase is 23.609-14.649=8.960

If we want to know the percentage, we need to know what percentage of the original prize is 8.960.

this is calculated like this:

$\frac{8960}{14609}= 0.61164$

ti make it into percentage, we multiply by 100%: 61.164%

3 0

1 year ago

When Hugo is serving at a restaurant, there is a 0.03 probability that each party will request a high chair

tino4ka555 [31]

Answer:

.26

Step-by-step explanation:

P=(at least one high chair)

= 1−P(none of 10 with high chair)

= 1−(0.97)

10

≈ 1−0.7374