1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
2 years ago
8

Below are the first several terms in a sequence. 0.4, 2, 10, 50, .. Part A Write a formula for the nth term of the sequence. Be

sure to specify a starting value of n.​
Mathematics
1 answer:
bixtya [17]2 years ago
8 0

Answer:

  • aₙ = 0.4*5ⁿ⁻¹

Step-by-step explanation:

<u>Given sequence:</u>

  • 0.4, 2, 10, 50, ...

<u>The first term is:</u>

  • a₁ = 0.4

<u>The common ratio is:</u>

  • r = 50/10 = 10/2 = 2/0.4 = 5

<u>The formula for the nth term is:</u>

  • aₙ = a₁rⁿ⁻¹
  • aₙ = 0.4*5ⁿ⁻¹
You might be interested in
What is the slope of the line in the graph?
Bingel [31]

Answer:

The slope equals the rise divided by the run:

7 0
3 years ago
Help for a brainliest lol
Sergio [31]

Step-by-step explanation:

The answer is option b.

Explanation in the pic.

Need any other maths, feel free!!

6 0
3 years ago
Read 2 more answers
6 1/4 minus 3 5/8 please answer this please
barxatty [35]
6-3=3 
2/8-5/8=3/8
you would have to change the denominator 
5 0
3 years ago
Read 2 more answers
plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for
kipiarov [429]

7. <u>You have $367.50 after two years.</u>

<em>Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.</em>

<em>350(0.025) = 8.75</em>

<em>Since it's for two years, multiply by two. </em>

<em>8.75 x 2 = 17.5.</em>

<em>Add it on to he original, and we have</em>

<em>350 + 17.5 = 367. 5, or $367.50 when converted back to money. </em>

8. <u>The annual interest rate is 2.4%</u>

<em>find the interest rate per year: </em>

<em>120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to. </em>

<em>Set up a system of equations and cross multiply.</em>

<em />\frac{48}{2000} = \frac{x}{100}<em />

<em>2000x = 48(100) > 2000x = 4800</em>

<em>2000</em><em>/2000</em><em>x = 4800</em><em>/2000 > </em><em>x = 2.4</em>

<em>So, the interest rate is 2.4%. </em>

9.  <u>the interest paid is $300 after six months, and $600 after a year.</u>

<em>Find the interest rate, similar to problem 7. </em>

<em>3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.</em>

10. <u>four years.</u>

<em>Find interest rate. </em>

<em>200(0.035) = $7/year</em>

<em>Remember that value. Subtract needed from current.</em>

<em>228 - 200 = $28. </em>

<em>So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years. </em>

5 0
3 years ago
The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}

Where:

{\hat{p} = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99

Therefore;

{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}

{\hat{p} = 0.6057

Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} =  \dfrac{Number \ of \ heads}{200} = 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0
3 years ago
Other questions:
  • zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for t
    14·2 answers
  • Which expression is equal to 2(x - 3) + 4​
    13·2 answers
  • Gabriella makes blueberry pancakez at her bakery every Tuesday and thursday.the recipe calls for the ratios of ingredients shown
    12·1 answer
  • Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?
    14·2 answers
  • HELP!!!!!!!! This is urgent!!! Will mark brainiest! 73-75! *ignore all work/questions/handwriting above****
    8·1 answer
  • Which of the following correctly simplifies the expression( IMAGE BELOW )
    8·1 answer
  • I need help with this question:(
    11·1 answer
  • PLEASE HELP ASAP I WILL GIVE BRAINIEST PLEASE
    15·2 answers
  • Screenshot 2020-12-10 at 1.13.52 AM
    14·1 answer
  • PLEASE HELP!! these triangles are not drawn to scale. Use the Pythagorean Theorem to determine which triangle is a right triangl
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!