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3 years ago

5

A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours,

75 mg of the substance remains. How many milligrams will remain after 27 hours?

1 answer:

adell [148]3 years ago

6 0

Answer:

Step-by-step explanation:

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Is the answer A or C?

Phantasy [73]

Answer:

it's C

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals

LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0

3 years ago

A box office sold 147,523 tickets for an auto race.

Marysya12 [62]

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

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3 years ago

Which table represents a linear function?

igomit [66]

Answer:

Table 2

Step-by-step explanation:

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6 0

2 years ago

Help me I need to graduate

Naily [24]

Answer:

(-2, 3)

Step-by-step explanation:

A is translated from (5, 1) to A' at (6, -2).

That is, it moves <em>one unit to the right and three units down</em>.

B is also translated to B' one unit to the right and three units down to (-1, 0).

B must be <em>one unit to the left and three units above B'</em>.

Thus, the coordinates of B are (-2, 3).

The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.

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3 years ago