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Paul [167]
3 years ago
9

Need help ASAP ! Questions are in the pic

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer: b (-2,3)

Step-by-step explanation:

you substitute the x and y values in (-2,-3) for the x and y in the problem.

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

4 0
3 years ago
Read 2 more answers
If sin 115° ≈ 0.91 and cos 115° = -0.42, then sin -115° =
EastWind [94]

Answer:

sin -115° = -0.91

Step-by-step explanation:

Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).

As for point B which was revolved around -115°,

the coordinates will be similar to point A but you just have to change the negative.

B(cos -115°, sin -115°) = B(0.42, -0.91)

3 0
3 years ago
The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the seg
Ket [755]
Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.
7 0
3 years ago
Subtract the following polynomials, then place the answer in the proper location on the grid.
melamori03 [73]
When we add or subtract polynomials, the addition or subtraction is applied to the coefficients of the terms of equal powers.

For the given polynomials, we are required to do subtraction as follows:
(-4.1 x^2 + 0.9 x - 9.8) - (1.7 x^2 - 2.4 x - 1.6)
= -4.1 x^2 + 0.9 x - 9.8 - 1.7 x^2 + 2.4 x + 1.6
= (-4.1-1.7) x^2 + (0.9+2.4) x + (-9.8+1.6)
= -5.8 x^2 + 3.3 x - 8.2

The final expression (solution) is:
-5.8 x^2 + 3.3 x - 8.2

8 0
3 years ago
Match the following equation to the correct situation.
Katen [24]
Hi ! I need help with some questions please help me it’s on a math question I’m times on my quiz
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