Mathematics : asked on 558672
 01.12.2022

A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

. 1

Step-by-step answer

24.06.2023, solved by verified expert
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A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

Step-by-step explanation:

Given

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37 -- initial subscribers

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37 -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

when x = 2

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

when x= 3

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

So, the next three number of subscribers is:

A blogger had 400 subscribers to her blog in, №17886970, 01.12.2022 13:37

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

600, 900, 1350

Step-by-step explanation:

Given

a = 400 -- initial subscribers

b = 1.5 -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

y = ab^x

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

y = ab^x

y = 400 * 1.5^1

y = 400 * 1.5

y = 600

when x = 2

y = 400 * 1.5^2

y = 400 * 2.25

y = 900

when x= 3

y = 400 * 1.5^3

y = 400 * 3.375

y = 1350

So, the next three number of subscribers is:

600, 900, 1350

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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