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Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

$110

Step-by-step explanation:

1. The total cost:

(3 * 65) + (2 * 70) + (1 * 55) -> cost of dresses + jeans + earrings

Total: 195 + 140 + 55 = 390.

2. Money leftover:

500 - 390 = $110.

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Allie sold oatmeal cookies at a stand for two days. She made 35.20 on the first day. She used 1/4 of this money to buy more supp

Tju [1.3M]

Multiply the money earned on the first day ($35.20) by 1/4.

= 35.20 * 1/4
multiply numerators

= (35.20 * 1)/4

=35.20/4
divide

= $8.80

ANSWER: $8.80 was used to buy more supplies

Hope this helps! :)

4 0

3 years ago

A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A

Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

$Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}$

If you divide both you can get the growth rate:

$\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}$