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Dima020 [189]
3 years ago
15

Q8 Q21.) Find the amount invested at each rate.

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
5 0
See the attached picture:

6% = 1200
9% = 2400
12% = 3800

nignag [31]3 years ago
4 0
Let x, y, z be the amount at 6%, 9% n 12%

x+y+z = 7400
z-x-y = 200
2z = 7400+200 = 7600
z = 3800

@12%, 3800 gives 3800*0.12=456 income
0.06x+0.09y+456=744
0.06x+0.09y=288
6x+9y=28800

x+y+3800=7400
y=3600-x

6x+9(3600-x)=28800
9x-6x=9*3600-28800=3600
x=1200

y=3600-1200
=2400



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Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
Use the formula to solve the problems.
Ber [7]

Answer:

$4,309.12

Step-by-step explanation:

The computation of the interest earned is given below:

But before that the amount would be

Amount = Principal × (1 + rate of interest)^number of years

= $6,000 × (1 + 0.07)^8

= $6,000 × 1.07^8

= $10,309.12

Now the interest earned is

= Amount - principal

= $10,309.12 - $6,000

= $4,309.12

3 0
3 years ago
What is the value of x?<br><br><br> Enter your answer in the box.<br><br> x =
ki77a [65]

Answer:wym

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How to factor 18a2+6a5-8a3
Zielflug [23.3K]

Answer:

2a^2(3a^3-4a+9)

Step-by-step explanation:

You could change the equation to this: 6a^3a^2-8a^1a^2+18a^2

*This is the exact same as 18a^2+6a^5-8a^3

You can continue to break this down until you get:

2*3a^3a^2-2*4a^1a^2+2*9a^2

*This too = 18a^2+6a^5-8a^3

With this new equation, you can cancel out the common term: 2a^2

You come up with my answer.

<em>Hope this helps!!</em>


7 0
3 years ago
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