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3 years ago

Find the 6th term of this sequence:

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

Hope this helps but I think the answer is C.

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What is 28% of 63%? Round your answer to the nearest tenth

Zina [86]

Answer: 17%

Step-by-step explanation:

1. First divide the percentages by 100 to turn the percentages into a decimal (28/100) x (63/100) = 0.1764

2. Then turn that decimal into a percentage again.

0.1764 x 100 = 17.64 but if you’re rounding to the nearest tenth without any decimals it’ll just be 17%

3 0

3 years ago

The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0

3 years ago

If there is an x find the value of it if not explain what needs to be given

tino4ka555 [31]

Answer:

x value is 7

the answer is 7

5 0

3 years ago

Jean is 25 years older than her daughter Charlotte. In ten years, Jean will be twice Charlotte's age. How old are Jean and Charl

allsm [11]

Charlotte is 15 while jean is 40

3 0

3 years ago

WORK OUT (8*10^-3)*(2*10^-4)

frutty [35]

-First we have to work out what’s in parenthesis.
(8*10^-3)=(8*0.001)=0.008

-This is for the second parenthesis
(2*10^-4)=(2*0.0001)=0.0002

-Now we multiply them together

ANSWER: 0.0000016

4 0

2 years ago

Read 2 more answers