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3 years ago

A city orchestra invests $5200 at 6% simple interest. How much is in the account after 1/2 year?

1 answer:

4 0

1) the amount in the account to the end of 1/2 year is M , for calculate it is the following formula for simple interest

M = C(1+i*n) ; where C = Capital, i = rate of interest, n = 1/2 year or it can be wrriten as 6 / 12 as fraction of month by year

M = C[( 1+0.06*(6/12)] = $ 5356

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Solve the x <br> 1/3x + 5> 10

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The solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

$\frac{1}{3}x+5>10$

To determine

Solve for x

Given the expression

$\frac{1}{3}x+5>10$

Subtract 5 from both sides

$\frac{1}{3}x+5-5>10-5$

Simplify

$\frac{1}{3}x>5$

Multiply both sides by 3

$3\cdot \frac{1}{3}x>5\cdot \:3$

Simplify

$x>15$

Thus, we conclude that:

$x>15$

Therefore, the solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.