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1 year ago

Parsons Bank offers two checking-account plans. The No Frills plan charges

Mathematics

1 answer:

7nadin3 [17]1 year ago

3 0

If the number of checks are greater than 25, the Simple Checking plan cost less.

We have two checking account plans at Parson's bank.

We have to determine for what number of checks per month will the Simple Checking plan cost less.

<h3>What is an Inequality in Mathematics ?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Let for x number of checks per month the simple checking plan cost less.

For No frills plan -

Charge per check - $0.25

Therefore, for x checks, it will cost - $0.25x

For Simple Checking plan -

Fixed monthly charges - $5

Charges per check - $0.50

Therefore - for x checks - $5 + $0.50x

Now - for Simple Checking plan to cost less than No frills plan -

5 + 0.05x < 0.25x

5 < 0.25x - 0.05x

5 < 0.2x

x > 25

Hence, if the number of checks are greater than 25, the Simple Checking plan cost less.

To solve more questions on Inequalities, visit the link below-

brainly.com/question/4916892

#SPJ1

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Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

3 years ago

The sum of the series 5(1/2)^i is x/1024 Then x =

Tatiana [17]

I just got this question. I think the answer is 5.

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Nana76 [90]

1. You have that:

- The trapezoids are similar.
- The larger base of the smaller trapezoid is 18 m and its area is 310 m².
- The larger base of the larger trapezoid is 32 m.

2. Then:

Sides=18/32
Sides=9/16

Area=(9/16)²
Area=81/256

3. Now, you can find the area of the larger trapezoid, as below:

81/256=310/x
81x=(310)(256)
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Therefore, the answer is: The area of the larger trapezoid is 980 m².

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Solve equation (n-1)(n+6)(n+5)=0

Vika [28.1K]

Answer:
1, -6 and -5

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
The equation given is:
(n-1) (n+6) (n+5) = 0
This equation will be true if any of the terms (brackets) is equal to zero.
This means that:
either n-1 = 0 .............> n = 1
or n + 6 = 0 ................> n = -6
or n + 5 = 0 ................> n = -5

Hope this helps :)

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Parsons Bank offers two​ checking-account plans. The No Frills plan charges

Parsons Bank offers two checking-account plans. The No Frills plan charges