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Rom4ik [11]
3 years ago
7

Help help help help help help help

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
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Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earni
kogti [31]

Answer:

$400

Step-by-step explanation:

Given that:

Earnings per week for Amber = $200

Total increase in the salary as per Amber's hard work = 100%

To find:

Earnings of Amber now?

Solution:

We are given the initial salary and its percentage increase.

We have to find the increased value of salary.

Increase in the salary = 100% of $200

\Rightarrow \dfrac{100}{100}\times \$200\\\Rightarrow \bold{\$200}

Amber's Current salary = Initial salary + Increase in the salary

Putting the values of the initial salary and increase in the salary:

Amber's Current salary = $200 + $200 = <em>$400</em>

3 0
3 years ago
Use the denition of the derivative to find f 0 (3), where f (x) = 3x+5 / 2x−1
Crazy boy [7]

Answer:

f'(3)= -\frac{13}{25}

Step-by-step explanation:

We are asked to find f'(3) of function f(x)=\frac{3x+5}{2x-1} using definition of derivatives.

Limit definition of derivatives:

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

Let us find f(3+h) and f(3).

f(3+h)=\frac{3(3+h)+5}{2(3+h)-1}

f(3+h)=\frac{9+3h+5}{6+2h-1}\\\\f(3+h)=\frac{3h+14}{2h+5}

f(3)=\frac{3(3)+5}{2(3)-1}

f(3)=\frac{9+5}{6-1}\\\\f(3)=\frac{14}{5}

Substituting these values in limit definition of derivatives, we will get:

f'(3)= \lim_{h \to 0} \frac{f(3+h)-f(3)}{h}

f'(3)= \lim_{h \to 0} \frac{\frac{3h+14}{2h+5}-\frac{14}{5}}{h}

Make a common denominator:

f'(3)= \lim_{h \to 0} \frac{\frac{(3h+14)*5}{(2h+5)*5}-\frac{14(2h+5)}{5(2h+5)}}{h}

f'(3)= \lim_{h \to 0} \frac{\frac{5(3h+14)-14(2h+5)}{5(2h+5)}}{h}

f'(3)= \lim_{h \to 0} \frac{5(3h+14)-14(2h+5)}{5h(2h+5)}

f'(3)= \lim_{h \to 0} \frac{15h+70-28h-70}{5h(2h+5)}

f'(3)= \lim_{h \to 0} \frac{-13h}{5h(2h+5)}

Cancel out h:

f'(3)= \lim_{h \to 0} \frac{-13}{5(2h+5)}

f'(3)= \frac{-13}{5(2(0)+5)}

f'(3)= \frac{-13}{5(5)}

f'(3)= -\frac{13}{25}

Therefore, f'(3)= -\frac{13}{25}.

8 0
3 years ago
The next model of a sports car will cost 11.3% less than the current model. The current model costs $45,000. How much will the p
valentinak56 [21]
Hello!

To find the cost of the next model, you'll need to turn 11.3% into a decimal. You can do this by moving the decimal place to the left twice, giving you 0.113. Next, you'll need to multiply 45,000 with 0.113 to get the cost of the new model. Once you've done that, the cost of the new model should be $5058. Now to find how much it decreased, you'll need to subtract the cost of the new car from the current model.

45,000-5058

Once you've subtract 5058 from 45,000, the cost of the car should have decreased by $39,942

Recap:

Price of Next Model: $5058
Decrease By: $39,942

I hope this helps!
8 0
4 years ago
Matthew has two identical coolers. Each one measure 30 inches long, 10 inches wide, and 15 inches high. What is the total volume
Masja [62]

Answer:

The Combined Volume is 9000 Cubic Inches

Step-by-step explanation:

First, volume is the multiplacation of the 3 measurements. So we just need to multiply the 3 sides then add the solution to itself to get the doubled value. This gives you 9000 cubic inches for the 2 coolers.

6 0
3 years ago
A trapezoid has a base length of 14 cm and another base length of 20 cm.what is the length of the mid-segment?
devlian [24]

Answer:

The mid-segment is 17 cm long.

Step-by-step explanation:

The mid-segment of a trapezoid is the average of the bases (mid-segment of a trapezoid theorem), so we can write an equation:

\frac{20+14}{2} =x

In this case x represents the length of the mid-segment.

\frac{34}{2} =17

The mid-segment is 17 cm long.

6 0
3 years ago
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