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3 years ago

4. Gina deposits $5,692 in a savings account paying 2.73% interest. To the

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

B) 7867

Step-by-step explanation:

I = Prt

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Solve using quadratic formula 1) y=3x^2-x-6 2) y=-5x^2+7x+3

Paul [167]

1) Solving $3x^2-x-6$ we get $x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

2) solving $-5x^2+7x+3$ we get $x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Step-by-step explanation:

We need to solve the equations using quadratic formula.

The first equation is:

1) $y=3x^2-x-6$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =3, b = -1 and c= -6

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-6)}}{2(3)}\\x=\frac{1\pm\sqrt{1+72}}{6}\\x=\frac{1\pm\sqrt{73}}{6}\\so, x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

The second equation is

2) $y=-5x^2+7x+3$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =-5, b = 7 and c= 3

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(7)\pm\sqrt{(7)^2-4(-5)(3)}}{2(-5)}\\x=\frac{-7\pm\sqrt{49+60}}{-10}\\x=\frac{-7\pm\sqrt{109}}{-10}\\So, x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Keywords: Solve Using Quadratic Formula

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3 0

3 years ago

Kendal is doing her science homework. For each problem, she uses 3/4 of a sheet of paper. How many sheets of paper will she need

Natalija [7]

Answer:

Step-by-step explanation:

3/4 · 12 = 9

5 0

3 years ago

Tom had a total of $300 and he spent $15 at the store. What percent of his money did he spend?

Tema [17]

Answer: 5%

Step-by-step explanation:

15 is what percent of 300 =

15 = 300x

15/300 = x

5 = x

6 0

2 years ago

Is ax^2 the same as 2ax

Korolek [52]

No there's a difference between it, I know what it was on the tip of my tongue but I forgot it

6 0

3 years ago

Read 2 more answers

Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is

FinnZ [79.3K]

Answer:

37.1 ft

Step-by-step explanation:

Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.

Let the length of the vertical side be y.

sin 51° = y/40

y = 40 * sin 51°

y = 31.1

The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.

31.1 ft + 6 ft = 37.1 ft

Answer: 37.1 ft

3 0

3 years ago