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Igoryamba
2 years ago
4

A "drug dissipates at a continuous rate" 12% per hour. how long until a quarter of the drug is left.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
8 0
It would take 6 hours and 15 minutes.
Add 12 to itself until you reach near 75%. 6 x 12 = 72 
This leaves 3 % still to go. 3% is one fourth of 12, so it would be 6 and 1/4 hours which is 6hrs and 15 min.
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Consider a single spin of the spinner.
alex41 [277]

Answer:

"landing on a shaded portion and landing on a 3"

"landing on an unshaded portion and landing on a number less than 2 "

Step-by-step explanation:

Mutually exclusive means the events will have no intersection.

Let's look at your first choice:

"landing on a shaded portion and landing on an even number"

Landing on a shaded portion would be 1 or 4.

Landing on an even number would be 2 or 4.

There is an intersection (they contain a common element), the 4.

These events are not mutually exclusive.

Let's look at your second choice:

"landing on a shaded portion and landing on a number greater than 3"

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

There is an intersection; they both contain 4.

These events are not mutually exclusive.

Let's look at your third choice:

"landing on a shaded portion and landing on a 3"

Landing on a shaded portion would be 1 or 4.

Landing on 3 would just be 3.

There is no common elements in the lists listed.  These events have no intersection.

These events are mutually exclusive.

Let's look at your fourth choice:

"landing on an unshaded portion and landing on an odd number"

Landing on a unshaded portion would be 2 or 3.

Landing on an odd number would be 1 or 3.

There is an intersection; they both have 3 in common.

These events are not mutually exclusive.

Let's look at your fifth choice:

"landing on an unshaded portion and landing on a number less than 2 "

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection.

These events are mutually exclusive.

6 0
2 years ago
Read 2 more answers
Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year,
IrinaVladis [17]
Use compound interest formula  F=P(1+i)^n twice, one for each deposit and sum the two results.

For the P=$40,000 deposit,
i=10%/2=5%  (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253

For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6 
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913

Total amount after 6 years
= 71834.253 + 26801.913
=98636.17   (to the nearest cent.)
8 0
2 years ago
There were 125 females and 100 males present at the high school pep rally. Find the ratio of males to the total number of people
riadik2000 [5.3K]
Total number of people = 125 + 100 = 225

Number of males = 100

Set as ratio

100:225

Simplify to 4:9 (can not simplify further without having decimals but you can’t have half a person)
5 0
2 years ago
Kieran subscribes to a text messaging service on his cell phone. His monthly bill for the service is given by the equation b = 0
Marina CMI [18]
B=kt
constant is k
b=0.25t

constant of proprtionality is 0.25
3 0
2 years ago
Read 2 more answers
(-2.655) · (18.44)<br><br> What’s the answer
stepan [7]

Answer:

-48.9582

Step-by-step explanation:

Negative times a positive is negative.

4 0
2 years ago
Read 2 more answers
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