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2 years ago

5

A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represen

ts the number of checks written during the month, which function models this situation?
A) f(x) = x + 12.50
B) f(x) = 0.45x -12.50
C) f(x) = 12.50x + 0.45
D) f(x) = 0.45x + 12.50

1 answer:

Oksi-84 [34.3K]2 years ago

7 0

The answer is D this info is 100% correct hopefully you still need it <span />

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Please help how do i find the area of the shape?

Orlov [11]

Answer:

Do not listen to the other answer! Here is how you solve that.

Step-by-step explanation:

For the semicircle, here is the formula for area: $A= \frac{1}{2}(\pi r^2)$

For the triangle, here is the formula for area: $A=\frac{1}{2}(bh)$

Then, add.

So,

Triangle:

$A=\frac{1}{2}(9*12)$

$A=54$

Semicircle:

$A=\frac{1}{2}(\pi 6^2)$

$A=18\pi$

Your answer is $Area = 54 + 18\pi$

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2 years ago

what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

3 0

2 years ago

Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and

Step2247 [10]

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

$OA = 2x + 9y$

$OB = 4x + 8y$

$CD = 4x - 2y$

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

$AB = (c - a)x + (d - b)y$

Where:

$OA = ax + by$ ====> $OA = 2x + 9y$

$OB = cx + dy$ ====> $OB = 4x + 8y$

This implies that:

$a =2$ $b = 9$ $c = 4$ $d = 8$

So:

$AB = (c - a)x + (d - b)y$

$AB = (4 - 2)x + (8 - 9)y$

$AB = 2x -y$

So, we have:

$AB = 2x -y$

$CD = 4x - 2y$

Calculate the slope (m) of $AB\ and\ CD$

$m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}$

For AB

$m_1 = \frac{-1}{2}$

$m_1 = -\frac{1}{2}$

For CD

$m_2 = \frac{-2}{4}$

$m_2 = \frac{-1}{2}$

$m_2 = -\frac{1}{2}$

By comparison:

$m_1 = m_2 = -\frac{1}{2}$

This implies that both lines have the same slope

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2 years ago

Answer please! 11y - 3y = 24

Zarrin [17]

11-3 = 8
8y = 24
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y = 3

4 0

2 years ago

Read 2 more answers

Pls help ASAP I need help on this problem

kumpel [21]

So 1 and 1/2 divided by 1/8. That’s the same as 3/2 divided by 1/8.

Keep change flip.

3/2 x 8/1

24/2= 12

4 0

2 years ago