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12345 [234]
3 years ago
12

Given the sequence 1, 9, 25, 49, 81, ..., find the explicit formula. A. an=(2n−1)2an=(2n−1)2 B. an=n2−1an=n2−1 C. an=−4n+2an=−4n

+2 D. an=−2n+2
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
F(n) = {f(1) = 1
         {f(n) = (2n - 1)
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Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
3 years ago
Read 2 more answers
HELPPP PLEASE WILL MARK BRAINLEST IF RIGHT!!!
Sholpan [36]

Answer:

C i think

Step-by-step explanation:

5 0
3 years ago
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Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
Which 3-D object is a polyhedron?<br> A. sphere<br> B. cube <br> C. cone
Levart [38]

Answer:

The answer is A.

Step-by-step explanation:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.

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2 years ago
HOOK is a word that has horizontal line symmetry since it is made up of letters that each have horizontal line symmetry. Can you
storchak [24]

Another word that has horizontal line symmetry is "book" and it is possible to form words with vertical line symmetry.

<h3>What is horizontal line symmetry in letters?</h3>

This implies that by dividing the letter in half using a horizontal line both sides would be the same. Lettters with horizontal line symmetry include:

  • H
  • K
  • O
  • E
  • B
  • C

<h3>What are some words with these symmetry?</h3>
  • Hood
  • Book
  • Cook
  • Bee

<h3>Are words with vertical line symmetry possible?</h3>

Yes, they are because there are many letters that have this symmetry such as V, T, A, O, M, I, H. For example you can create the words:

  • Hi
  • Mum
  • Hit

Learn more about letters in: brainly.com/question/10361926

6 0
2 years ago
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