2500=500e^0.06t solve for t

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Answer:

t=26.8239652

Step-by-step explanation:T=26.8239652 i believe is the best answer

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

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4 years ago

The scale drawing of a concrete pad has a length of 9.1 cm, a depth of 2.2 cm and a width of 3.8 cm.

valentina_108 [34]

Answer ; 242 cm because 418/3.8 =110 and if you multiply 110 with 2.2 you’ll have 242 !!

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3 years ago

Do these ratios form a proportion?

ad-work [718]

Answer:

Step-by-step explanation:

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3 years ago

You have 5814 meters of rope you need to cut into 27 sections how many 27 meters secton of rope will you be able to create and h

Alona [7]

Answer:

215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left

Step-by-step explanation:

we have 5,814 meters of rope and we are told to calculate the number of 27 meters sections that we can cut:

you have to divide 5,814 meters by 27 meters = 215.333

that means that you have 215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left (0.333 x 27 = 9)

7 0

3 years ago

Select the correct answer from the drop-down menu.

grin007 [14]

Answer:

374

Step-by-step explanation:

11/50=0.22

number/1700=0.22

so 374/1700=0.22 hope that's a choice and helps.

7 0

3 years ago