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3 years ago

Clark put 3000 in an account that compound 5% interest twice a year. if she left the money in for a year how much should have

Mathematics

1 answer:

AlexFokin [52]3 years ago

4 0

Step-by-step explanation:

A = P (1 + r/n) (nt)

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

p = 3000

r = 5%/100 = .05 (has to be in decimal format)

n = 2

t = 1

A = 3000(1 + .05/2)⁽²ˣ¹⁾ note (make sure you use ^ (power of) for the 2x1)

use PEMDAS to work out problem

P arenthesis

E exponents

M ultiplication

D ivision

A ddition

S ubtraction

A = 3000(1 + .05/2)⁽²ˣ¹⁾

a = 3000(1 + .025)^²

a = 3000(1.025)^2

a = 3000 x 1.050625

a = 3151.875

she would have $3,151.88

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3 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

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3 years ago

Clark put 3000 in an account that compound 5% interest twice a year. if she left the money in for a year how much should have​

Clark put 3000 in an account that compound 5% interest twice a year. if she left the money in for a year how much should have