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Gwar [14]
2 years ago
10

How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

<h3>Compound Interest</h3>

Given Data

  • Principal = $1000
  • Rate = 3%
  • Time = 6 months = 0.5 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

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

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

Learn more about compound interest here:

brainly.com/question/24924853

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2 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x
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Answer:

a = - \frac{9}{2} , b = - \frac{25}{4}

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- \frac{9}{2} )x + \frac{81}{4} - \frac{81}{4} + 14

  = (x - \frac{9}{2} )² - \frac{81}{4} + \frac{56}{4}

  = (x - \frac{9}{2} )²- \frac{25}{4} ← in the form (x + a)² + b

with a = - \frac{9}{2} and b = - \frac{25}{4}

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