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lara [203]
3 years ago
11

A mother wants to invest $6000 for her children's education. She invests a portion of the money in a bank certificate of deposit

(CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $360, how much money was invested at each rate?
Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
0.04x+0.07(6000-x)=360
0.04x+420-0.07x=360
0.04x-0.07x=360-420
−0.03x=−60
X=60/0.03=2,000 at 4%
6000-2000=4000 at 7%

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Identify any solutions to the system given below. 2x + y = 5 3y = 15 – 6x (6, –7) (2, 1) (–2, –9) (–4, 13)
sashaice [31]

Answer:

The answer (2, 1), (-4,13), (6,-7)

Step-by-step explanation:

Consider 2x+y=5 as equation 1, and 3y=15-6x as equation 2

1. Substituting values x and y with x=2 and y=1 as given by the coordinates (2,1)

Equation 1

2(2)+1=5 therefor it holds

Equation 2

3(1)=15-(6×2) also holds

2. Substituting values x and y with x=6 and y=-7 as given by the coordinates (6,-7)

Equation 1

2(6)+(-7)=5

5=5 holds

Equation 2

3(-7)=15-(6×6)

-21=-21 also holds

3. Substituting values x and y with x=-4 and y=13 as given by the coordinates (-4,13)

Equation 1

2(-4)+13=13-8=5 holds

Equation 2

3(13)=15-(6×-4)=39  also holds

4. Substituting values x and y with x=-2 and y=-9 as given by the coordinates (-2,-9)

Equation 1

2(-2)+(-9)=-4-9=-13≠5 does not hold

Equation 2

3(-9)≠15-(6×-2)

-27≠27 does not hold

The coordinates (2,1), (-4,13) and (6,-7) can be used as solutions to the system given

8 0
3 years ago
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9. y=-2(x-3)
Artyom0805 [142]
The answers is 11 because it has y=mx+b
8 0
3 years ago
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1. Evaluate -3x^3 -2y^2 when x=-5 and y =3
-Dominant- [34]

Answer:

357

Step-by-step explanation:

A) We replace x = - 5 and u = 3 into -3x^3 -2y^2

and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9

or -3x^3 -2y^2 = 375-18= 357

The answer is 357.

B) Replace h = -2 into h^2-3h+2

we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12

The answer is 12

Have a good day.

8 0
3 years ago
Test plz help thank if you help me
zimovet [89]

Answer:

I think its B

Step-by-step explanation: I'm not 100% sure

3 0
3 years ago
What value of t satisfies the equation t/8-3/4=9/16
Y_Kistochka [10]
The answer to t is t= 21/2
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