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Volgvan
3 years ago
12

Casey waited tables this summer. On Monday , she made $60. Each day , her pay decreased by $4. What integer represents the total

change in her pay over a 5 - day period ?
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
5 0

Answer:

The integer that represents the total change in her pay over a 5 - day period is '20'.

Step-by-step explanation:

On Monday , Casey made $60.

Each day , her pay decreased by $4.

So, in 5 days the value decreased by 4\times5=20 dollars

So, total change was 20.

We can also say its negative because there is a decrease in the value.

Hence, the integer that represents the total change in her pay over a 5 - day period is '20'.

lidiya [134]3 years ago
3 0
The answer is $260 first you do 60-4 that equals 56 and then you do 56-4= 52 and you do 52-4 = 48 then 48-4=44 then you do 60+56= 116 and then you do 116+52=168 and then do 168+48= 216 and then 216+44=260 the answer is 260
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A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c
slava [35]

Answer:

I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

\frac{dI}{dt}=a*I*(1000-I)

Rearranging and integrating

\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t

At the initial breakout (t=0) there was one trooper infected (I=1)

-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755

In two days (t=2) there were 5 troopers infected

-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725

Rearranging, we can model the number of infected troops (I) as

-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755}  \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}

6 0
3 years ago
To describe a specific arithmetic sequence, Elijah wrote the recursive formula:
Rufina [12.5K]

Answer:

Y(n) = 7n + 23

Step-by-step explanation:

Given:

f(0) = 30

f(n+1) = f(n) + 7

For n=0 : f(1) = f(0) + 7

For n=1 :  f(2) = f(1) + 7

For n=2 : f(3) = f(2) + 7 and so on.

Hence the sequence is an arithmetic progression with common difference 7 and first term 30.

We have to find a general equation representing the terms of the sequence.

General term of an arithmetic progression is:

T(n) = a + (n-1)d

Here a = 30 and d = 7

Y(n) = 30 + 7(n-1) = 7n + 23

7 0
3 years ago
40 POINTS PLEASE HELP AND HURRY
pentagon [3]

Answer:

The histogram that represents the correct frequency of each class interval in the given data set, is: histogram B.

What is a Histogram?

A histogram is a type of bar graph that uses bins to represent the frequency of a class interval.

Given the data points above, the histogram in option B has the correct bars that represent the appropriate frequency of each class interval.

Therefore, the histogram that represents the data set given is Histogram B.

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brainly.com/question/18198700

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3 0
2 years ago
Help me please don’t understand
Nina [5.8K]

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5 0
3 years ago
Area of 320 square feet, the width of the room is 4/5 it's length
jasenka [17]
Area=legnth times width or
a=lw

if w=4/5l
and a=320 then subsitute 320 for a dn 4/5l for w
320=4/5l times l
multiply both sides by 5 to clear fraction
1600=4l times l
ad like terms
1600=4l^2
subtract 1600 from both sides
0=4l^2-1600
try and factor because if you have xy=0 then x and/or y=0 so
difference of 2 perfect squares where
if you have a^2-b^2 then that equals(a-b)(a+b) so
0=(2l)^2-(40)^2=(2l-40)(2l+40)

so 2l-40=0
add 40 to both sides
2l=40
divide by 2
l=20

if
2l+40=0
subtract 40 from both sides
2l=-40
divide 2
l=-20
since meausrements of real objects cannot be negative, wediscard this number


l=20 is thhe true legnth s
subsitute
w=4/5l
w=4/5(20)
w=80/5
w=16

legnth=20
width=16
8 0
3 years ago
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