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sveta [45]
2 years ago
10

Gina deposits $2,000 into each of two savings accounts.

Mathematics
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

<u>Simple interest:</u>

  • $2000*(1 + 3*0.05) = $2300

<u>Compound interest:</u>

  • $2000*(1 + 0.05)^3 = $2315.25

<u>Sum of the balances:</u>

  • $2300 + $2315.25 = $4615.25
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Can someone please help I really need these points
spayn [35]

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

AE\times CE=BE\times DE

(3x-11)\times (5x-4)=(x+2)\times (-x+17)

15x^2-12x-55x+44=-x^2+17x-2x+34

15x^2-67x+44+x^2-15x-34=0

16x^2-82x+10=0

Divide both sides by 2.

8x^2-41x+5=0

Splitting the middle term, we get

8x^2-40x-x+5=0

8x(x-5)-1(x-5)=0

(8x-1)(x-5)=0

Using zero product property, we get

(8x-1)=0 or (x-5)=0

x=\dfrac{1}{8} or x=5

For x=\dfrac{1}{8}, the side AE is negative. So, x=\dfrac{1}{8} is not possible.

Therefore, the required solution is x=5.

6 0
3 years ago
A sword is 100 centimeters long. That's 10 centimeters longer than 3 times h, the length of the hilt, or handle. Write and solve
tekilochka [14]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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The table below shows the earnings, in thousands of dollars, for three different commissioned employees. $2,000 + 3% on all sale
Vinvika [58]
The salary plus commission employee earned $3,500 in January. Let his amount of sales for the month of January be x, then $2,000 + 3% of x = $3,500. 0.03x = $3,500 - $2,000 = $1,500 x = $1,500 / 0.03 = $50,000 The straight commission employee earned $3,850 in January. Let his amount of sales for the month of January be y, then 7% of y = $3,850. 0.07y = $3,850 y = $3,850 / 0.07 = $55,000 The graduated commission employee earned $3,600 in January. Let his amount of sales for the month of January be z, then 5% of $40,000 + 8% of z = $3,600. 0.05 x 40,000 + 0.08z = $3,600 $2,000 + 0.08z = $3,600 0.08z = $3,600 - $2,000 = $1,600 z = $1,600 / 0.08 = $20,000 Total sales for the graduated commission employee<span> = $40,000 + $20,000 = $60,000 Therefore, the graduated commission employee had the largest dollar amount in sales of $60,000 for the month of January</span>
7 0
3 years ago
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Kelly needs to rent a car while on vacation. the rental company charges $17.95, plus 17 cents for each mile driven. if kelly onl
Akimi4 [234]
  • <u><em>Answer: maybe 19 or 30 miles hope its right</em></u>

Step-by-step explanation:

4 0
1 year ago
a swimming pool has a length of 100 meters , a width of 25 meters and a depth of 4 meters throughout the whole pool. how much wa
Nataly [62]

Answer:

10,000 m^3 of water can fill the pool.

Step-by-step explanation:

volume of a rectangular prism is length * width * height (depth)

100*25*4=2500*4=10,000

Therefore, 10,000 m^3 of water can fill the pool.

I hope this helped and have a good rest of your day!

4 0
3 years ago
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