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4 years ago

14

A UCF graduate has 3 bank overdrafts per year, and the bank charges $35 per overdraft. The bank pays the graduate 1% interest pe

r annum, and he/she maintains an average monthly balance of $600. What is the graduate's net annual cost of maintaining the checking account after giving effect to the interest earned (ignore taxes)?

1 answer:

Elena L [17]4 years ago

4 0

Answer:

$33

Step-by-step explanation:

First we calculate the cost of the overdrafts:

3 overdrafts * $35 = $105

Then, if he maintains an average monthly balance of $600, we can calculate = $600*12 months = $7200 (average yearly balance). And the bank pays him 1% interest per annum:

$7200 * 1% = $72 (this is what the bank pays the graduate per year)

So if the bank charges him $105 and pays him $72, then the net annual cost is = $105-$72= $33

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cricket20 [7]

There’s a pattern to this and I’ll explain in the comments if you want to know or can’t figure it out :)

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7 0

3 years ago

Rewrite 4 6/7 as an improper fraction.

natima [27]

Im pretty sure its 34/7

4 0

4 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

4 years ago

Value of x for 12(x-2)+3x=1/2(x+6)+2

Damm [24]

Answer:

The value of x = 2

Step-by-step explanation:

Given the equation

$12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2$

Expand 12(x-2) = 12x - 24

Expand 1/2(x+6) = 1/2x + 3

so the equation becomes

$12x-24+3x=\frac{1}{2}x+3+2$

simplifying

$15x-24=\frac{1}{2}x+5$

$15x=\frac{1}{2}x+29$

multiplying both sides by 2

$30x = x + 58$

subtracting x from both sides

$30x - x = 58 - x$

$29x = 58$

divide both sides by 29

$\frac{29x}{29}=\frac{58}{29}$

simplifying

$x = 2$

Therefore, the value of x = 2

4 0

3 years ago

Choose all that give the correct effect on the linear graph of the parent function ƒ(x).

Nataliya [291]

Answer: since the parent function is f(x), then i think....

f(x) + 5 is the shifted 5 units up of f(x)

then the first answer is correct

f(x - 8) is 8 shifted 8 units right of f(x)

then the second answer is wrong,

f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4

the the third answer is correct

f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3

then the fourth answer is correct

Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)

and maybe a brainliest

3 0

3 years ago