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2 years ago

What is the next term of the geometric sequence?

Mathematics

1 answer:

Alborosie2 years ago

4 0

Answer:

320

Step-by-step explanation:

5, 20, 80,5,20,80,5, comma, 20, comma, 80, comma is not a geometric sequence.

However, if you mean 5, 20, 80 it is a geometric sequence.

It is being multiplyed by 4 each time

so 80*4=320

The next number would be 320.

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Last year, the total revenue for Home Style, a national restaurant chain, increased 5.25% over the previous year. If this trend

Setler [38]

Answer:

Monthly percent increase in revenue = 0.4273%.

Step-by-step explanation:

Let m = number of months in time period.

We have that: Annual increase based on annual rate = Annual increase based on monthly rate * 12.

To find the increase in the original amount, we use the formula:

$A_{0}(1 + i)^{n}$ , where n = number of time periods and i = interest rate.

Therefore,

Ao(1 + ia) = Ao(1 + im)m,

$A_{0}(1 + i_{a} )^{n_{a} } = A_{0}(1 + i_{m} )^{n_{m} }$

where Ao= original amount, ia = annual interest rate, im = monthly interest rate, na = number of annual time periods, nm = number of monthly time periods.

$n_{a}=1; n_{m}=m$

$A_{0}(1 + i_{a} ) = A_{0}(1 + i_{m} )^{m}$

Divide both sides by Ao

$(1 + i_{a}) = (1 + i_{m} )^{m}$

Taking the mth root of both sides

$(1 + i_{a})^{\frac{1}{m}}= 1 + i_{m}$

$i_{m} = (1 + i_{a})^{\frac{1}{m}}-1$

$i_{a}= 5.25*1/100 = 0.0525\\m = 12$

$i_{m} = (1 + 0.0525)^{\frac{1}{12}}-1\\i_{m} = (1.0525)^{\frac{1}{12}}-1 = 1.004273 - 1\\i_{m} = 0.004273 * 100\\i_{m} = 0.4273$

$i_{m}=$ 0.4273%

Thus, the monthly revenue increase of Home Style is 0.4273%.

3 0

2 years ago

Jackie and two friends share 4 donuts equally. How many donuts will each friend get?

matrenka [14]

Answer:

each got 1 1/3

Step-by-step explanation:

I hope that it will help you good day.

3 0

3 years ago

Read 2 more answers

A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep w

mezya [45]

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

8 0

3 years ago

Read 2 more answers

Please help me

Kruka [31]

y = x^2 -4x

x = -1

y = (-1)^2 - 4×-1=1+4 = 5

x= 0

y = (0)^2 - 4×0 = 0

x = 1

y = 1^2 -4×1 = 1-4 = -3

x = 2

y = 2^2 -4×2 = 4-8 = -4

x=3

y = 3^2 - 4×3 = 9-12 = -3

x = 4

y = 4^2 - 4×4 = 16 - 16 = 0

now 2nd equation

y = 2x^2 + x

x = -2

y = 2 (-2)^2 + (-2)= 8-2 = 6

x = -1

y = 2 (-1)^2+(-1)= 2-1 = 1

x = 0

y = 2(0)^2 +0 = 0

x = 1

y = 2 (1)^2 + 1 = 3

x = 2

y = 2(2)^2+2= 8 + 2 = 10

6 0

2 years ago

A student needed to prepare 500mL of 1X TAE buffer to run a QC gel. The stock solution in the lab is 5X TAE. What volumes of sto

Xelga [282]

Answer:

you need 100ml of 5X TAE and 400ml of water.

Step-by-step explanation:

You need to use a rule of three:

$C_1V_1=C_2V_2$

where:

$\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.$

and

$\left \{ {{V_1 = V_{TAE}} \atop {V_2=500ml}} \right.$

Therefore:

$V_{TAE} = \frac{V_2*C_2}{C_1}$

$V_{TAE} = 100ml$

Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.

3 0

2 years ago

Read 2 more answers