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In-s [12.5K]
2 years ago
8

Carolyn has been contributing to a pre-tax retirement account. Her youngest child is ready to start college, and Carolyn wants t

o withdraw $61,671.71 from the account for tuition. Carolyn's tax bracket this year is 25%, and she knows she will have to pay a 10% early withdrawal penalty. How much money will she pay in taxes and penalty ?
Mathematics
1 answer:
Flauer [41]2 years ago
6 0

Answer: 77,089.64 or 83,256.81

Step-by-step explanation:

Either or because it doesnt specify is she has to pay 10% and 25% or 10% early and 15% later on. If you know then the lower answer is 10% now and 15% later on. GL!

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Bob harvested flour from 4 of his fields. From the first field, he harvested 13 ton of flour. The second field yielded 24 ton of
DIA [1.3K]
Bob harvested 65 tons total (13 + 24 + 14 + 14)
and as far as drawing a diagram I don't know what to tell you 

hope this helps
6 0
3 years ago
Which expression is equivalent to -4(2x+3)-(3x+5)
vfiekz [6]

Answer:

5x-7

Step-by-step explanation:

= -8x - 12 - 3x + 5

= -8x - 3x - 12 + 5

= 5x-7

5 0
3 years ago
Read 2 more answers
Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.
Phoenix [80]

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

3 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the batt
Marianna [84]

Answer:

An hour and 45 minutes

3 0
2 years ago
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