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2 years ago

Find the principal invested in $800 interest is earned and eight years at an interest rate of 4%

Mathematics

2 answers:

leonid [27]2 years ago

6 0

Answer:

2500 Bucks

Step-by-step explanation:

Interest is equal to the product of the principal amount multiplied by the rate of interest and time and also divided by 100

antiseptic1488 [7]2 years ago

5 0

Answer:

Given:

Principal: P

Interest rate: 4% (without mentioning in details, this is annual interest rate)

Interest earned: 800$

Find:

Principal

Solution:

The amount of money after 8 years with annual rate 4% is calculated by:

A = P x (1 + 4/100)^8 = 1.369 x P

A - P = 800

=> 1.369 x P - P = 800

=> 0.369 x P = 800

=> P = 800/0.369 = 2168.022$

Hope this helps!

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Answer:

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Let x = number of out-of-state students at the college

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2 years ago

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1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

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${x}^{2} + 5x - 3x + 6 - 6 = 0$

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$x = 0 \: or \: x = - 2$

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$y = 3(0) + 6 = 6$

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When we put x=-2, into y=3x+6, we get:

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Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

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We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

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$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

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