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ehidna [41]
3 years ago
9

A quantity with an initial value of 7800 decays continuously at a rate of 0.1% per hour. What is the value of the quantity after

1.25 days, to the nearest hundredth? please help
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0

Answer:

7569.36

Step-by-step explanation:

Given that a quantity with an initial value of 7800 decays continuously at a rate of 0.1% per hour. What is the value of the quantity after 1.25 days, 

First convert 1.25 days to hours

1.25 × 24 = 30 hours

Using exponential equation

N = No ( 1 - R% )^t

Where N = new value of the quantity

No = initial value

R = rate

t = time

N = 7800 ( 1 - 0.001 )^30

N = 7800 ( 0.999 )^30

N = 7800 × 0.97043

N = 7569.36154

N = 7569.36 to the nearest hundredth.

Therefore, the value of the quantity after 1.25 days is 7569.36

slava [35]3 years ago
4 0

Answer:8176.99

Step-by-step explanation:

You might be interested in
Which expressions have a value of 16/81? Check all that apply.
lana [24]

Which expression have a value of 16/81? check all that apply. (2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

Answer:

First and last option is correct.

(\frac{2}{3})^{4}=\frac{16}{81}

(\frac{4}{9})^{2}=\frac{16}{81}

Step-by-step explanation:

Given:

There are four options.

(2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

We need to check all given options for value of 16/81.

Solution:

Using rule.

(\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}

Solve for option (\frac{2}{3})^4.

(\frac{2}{3})^{4}=\frac{2^4}{3^4}=\frac{2\times 2\times 2\times 2}{3\times 3\times 3\times 3}=\frac{16}{81}

Solve for option (\frac{16}{3})^4.

(\frac{16}{3})^{4}=\frac{16^4}{3^4}=\frac{16\times 16\times 16\times 16}{3\times 3\times 3\times 3}=\frac{65536}{81}

Solve for option (\frac{4}{81})^2.

(\frac{4}{81})^{2}=\frac{4^2}{81^2}=\frac{4\times 4}{81\times 81}=\frac{16}{6561}

Solve for option (\frac{4}{9})^2.

(\frac{4}{9})^{2}=\frac{4^2}{9^2}=\frac{4\times 4}{9\times 9}=\frac{16}{81}

Therefore, expression (\frac{2}{3})^4 and (\frac{4}{9})^2 have a value of  \frac{16}{81}.

6 0
3 years ago
Please help me please i really need help please
ASHA 777 [7]

56.57.

Use Pythagorean theorem

7 0
3 years ago
Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their a
4vir4ik [10]

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10

6 0
3 years ago
Please i need help i will mark you brill
Furkat [3]

Answer:

the answer to your question is

2n + 20

4 0
3 years ago
Read 2 more answers
The problem is in the picture.
Semmy [17]

Answer:

  • an = 5 + 10(n -1)
  • a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

  an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

  an = 5 +10(n -1)

___

The 7th term is ...

  a7 = 5 +10(7 -1) = 65

5 0
4 years ago
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