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RideAnS [48]
2 years ago
10

Ngoc invests a total of $11,000 in two accounts paying 5% and 7% simple interest, respectively. How much was invested in each ac

count if, after one year, the total interest was $620.00.
Mathematics
1 answer:
Rama09 [41]2 years ago
5 0

Answer:

At 5% amount invested = $7,500

At 7% amount invested = $3,500

Step-by-step explanation:

We shall create an equation for this.

Let the amount invested with 5 % interest = "x"

Then remaining amount = 11,000 - x, Since total amount invested = $11,000

(x \times 5%) + ((11,000-x) \times 7%) = $620

0.05 x + 770 - 0.07 x = 620

770 - 620 = 0.07 x - 0.05 x

150 = 0.02 x

\frac{150}{0.02} = x

$7,500 = x

Therefore, amount invested at 5% = $7,500

At 7% = $11,000 - $7,500 = $3,500

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WRITE THE SOLUTION TO THE FOLLOWING SYSTEMS<br> HURRY ILL GIVE BRAINLIEST!!!!!!!
Virty [35]

Answer:

1)     (2,4)

2)    (5,-2)

Step-by-step explanation:

those are the points at which the lines cross making them the solutions to the equations

4 0
3 years ago
Jamie is x years old. His friend Ana is the same age.
SSSSS [86.1K]
<h3>Answer:  2x</h3>

Explanation:

Each person is x years old. Adding those unknown ages gets us x+x = 2x

We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.

6 0
2 years ago
Solve the linear programming problem.
larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

              Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

              Z = 3x+2y = 3(5)+2(3) = 21

7 0
2 years ago
Is anyone able to answer this for me? GIVING BRAINLIEST! hurry!
svetoff [14.1K]
Nicoles pattern:

1
5
17
53
161

Ian’s pattern:

0
1
3
7
15

Ordered pair:

(1, 0)
(5, 1)
(17, 3)
(53, 7)
(161, 15)



Table 1 -

Sequence 1:

9
11
13
15
17

Sequence 2:

5
8
11
14
17

Ordered pair:

(9, 5)
(11, 8)
(13, 11)
(15, 14)
(17, 17)

Table 2 -

Sequence 1:

20
16
12
8
4

Sequence 2:

20
17
14
11
8

Ordered pair:

(20, 20)
(16, 17)
(12, 14)
(8, 11)
(4, 8)

Table 3 -

Sequence 1:

1
3
7
15
31

Sequence 2:

40
24
16
12
10

Ordered pair:

(1, 40)
(3, 24)
(7, 16)
(15, 12)
(31, 10)
5 0
1 year ago
|x+8|=x+8 what is x?
Darya [45]

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).

7 0
2 years ago
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