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miskamm [114]
2 years ago
10

Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested

S1000 less in a 18-month CD
that had a 2% simple interest return. If the total amount of interest from these investments was $945.00, determine how much was invested in each CD.
Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

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120 has the same value as 12 tens
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Is there a solution to 2x^2+7x-4=0?
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Answer:

x= -8    x= 1

Step-by-step explanation:

3 0
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The length of a rectangle picture frame is 2 centimeters more than twice it’s width. If the area of the frame is 364 square cent
sergeinik [125]

Answer:

Length:28 cm

Width: 13 cm

Step-by-step explanation:

Let

x ---> the length of a rectangle picture frame

y ---> the width of a rectangle picture frame

we know that

The area of a rectangle picture frame is equal to

A=xy

we have

A=364\ cm^2

so

364=xy ----> equation A

The length of a rectangle picture frame is 2 centimeters more than twice it’s width

so

x=2y+2 ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (28,13)

see the attached figure

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5 0
3 years ago
The coordinate plane below represents a town. Points A through F are farms in the town.
prohojiy [21]

Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.

Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.The area above the x-axis and to the left of the y-axis is shaded.


Part B:It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system
we have:
-4 < 0
2 > 0
as can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
as can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.

Part C:Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
7 0
3 years ago
What is BC?<br><br>Any help?
Aliun [14]

Answer:

<em>A. 10</em>

Step-by-step explanation:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(11 - 5)^2 + (-6 - 2)^2}

d = \sqrt{6^2 + (-8)^2}

d = \sqrt{36 + 64}

d = \sqrt{100}

d =10

8 0
3 years ago
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