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3 years ago

14

Please do a and b and explain

1 answer:

Blizzard [7]3 years ago

4 0

This is a decay problem,

The equation is written as start value x (1 - rate)^tike

Using the information given in the problem:

a) Total = 120(1-0.12)^Hours

b) Replace hours with 19 and solve:

Total = 120(1-0.12)^19

Total = 120(0.88)^19

Total = 10.57674 mg

Round the answer as needed.

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What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2

sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let $a_{1}=-2$

$a_{2}=-1$

$a_{3}=a_{1}-a_{2}$

$=-2-(-1)$

$=-2+1$

Therefore $a_{3}=-1$

$a_{4}=a_{2}-a_{3}$

$=-1-(-1)$

$=-1+1$

Therefore $a_{4}=0$

Similarly we have $a_{5}=-1$ , $a_{6}=1$ , $a_{7}=-2$

The general form to the given pattern is

$a_{n}=a_{n-2}+a_{n-1}$ for $n={\{1,2,3,4,5,6,7,8,9,10}\}$

Therefore to find the $a_{8},a_{9},a_{10}$

Put n=8 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{8}=a_{8-2}-a_{8-1}$

$=a_{6}-a_{7}$

$=1-(-2)$

$a_{8}=3$

Put n=9 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{9}=a_{9-2}-a_{9-1}$

$=a_{7}-a_{8}$

$=-2-(3)$

$a_{9}=-5$

Put n=10 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{10}=a_{10-2}-a_{10-1}$

$=a_{8}-a_{9}$

$=3-(-5)$

$a_{10}=8$

Therefore the next 3 numbers are 3,-5,8

4 0

3 years ago

What’s 5,700 divided by 70

Ierofanga [76]

Ur answer is 81.42857142857143
Have a good day hope this helps! :)

4 0

3 years ago

Read 2 more answers

A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are t

liraira [26]

Answer:

1/20

Step-by-step explanation:

8 0

3 years ago

PLZ HELP ME AND IF U CAN XPLAIN

Ilya [14]

Answer:

B. 1/2

Step-by-step explanation:

Slope formula = $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

$\frac{(-4)-(-8) }{(6)-(-2)}$

$\frac{4}{8}$

$\frac{1}{2}$

7 0

3 years ago

Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water t

zzz [600]

Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = $x$

Number of water bottles left with Sylvia = $24-x$

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = $3x$

Number of water bottles left with Sam = $36-3x$

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

$24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}$

So, number of water bottles sold by Sylvia = <em>6</em>

7 0

3 years ago