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valentinak56 [21]
3 years ago
11

If Dain wants $50,000 after 3 years to make a down payment on a house, how much does he need to invest every quarter, into an ac

count that pays 6% compounded quarterly?
Mathematics
1 answer:
dangina [55]3 years ago
5 0

Answer:

P = $41,820.01

Step-by-step explanation:

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

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

Where,

P = principal

A = future value = $50,000

n = number of periods = 4

r = interest rate = 6% = 0.06

t = time = 3 years

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

= 50,000 / (1 + 0.06/4)^4*3

= 50,000 / (1 + 0.015)^12

= 50,000 / (1.015)^12

= 50,000 / 1.1956

= 41,820.01

P = $41,820.01

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Please help! acellus
ch4aika [34]

Answer:

The number that belongs <em>in</em> the green box is equal to 909.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

[<em>Right Triangles Only</em>] Pythagorean Theorem:
\displaystyle a^2 + b^2 = c^2

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 30

<em>b</em> = 3

<em>c</em> = <em>x</em>

<em />

<u>Step 2: Find </u><u><em>x</em></u>

Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:

  1. [Pythagorean Theorem] Square root both sides [Equality Property]:
    \displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:

  1. [Equation] <em>Substitute</em> in variables:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}
  2. <em>Evaluate</em>:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

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The measure of an angle is 28 degrees less than its supplement. find the supplement
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