a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investment. if his total profit was $107, what was the amount of each investment?

Answers

Answer 1

Answer: Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300

First investment is 1300
second investment is 1700

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Simplifying16y + 4 + -1(5y + 15)
Is this triangle ASA SSS HL AAS SAS or Not Congruent

Solve V = LWH for L.

Answers

Answer:

v/wh=L

Step-by-step explanation:

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x=19
(x+13)=32
(4x-44)=32

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Step-by-step explanation:

Rewrite the simplest term for ( -x-7y) - (-3x+9y)

Answers

Answer:

2x - 16y

Step-by-step explanation:

To rewrite the expression in the simplest term, we can distribute the negative sign in the second set of parentheses:

( -x-7y) - (-3x+9y)

= -x-7y + 3x-9y

Then, we can combine the x and y terms:

= -x + 3x - 7y - 9y

Finally, we can simplify the expression by canceling out the x terms:

( -1 + 3 )x - 7y - 9y

= 2x - 16y

Therefore, the simplest term for the expression is 2x - 16y.

Answer:2(x−8y)

Step-by-step explanation:

To find the opposite of −3x+9y, find the opposite of each term.

−x−7y−(−3x)−9y

The opposite of −3x is 3x

.−x−7y+3x−9y

Combine −7y and −9y to get −16y

.−x−16y+3x

Combine −x and 3x to get 2x.

2(x-8y)

Match the reasons with the statement.Given: 12 - x = 20 - 5 x

To Prove: x = 2

1.
Division property of equality

A. 12 - x = 20 - 5 x

2.
Subtraction property of equality

B. 12 + 4 x = 20

3. Addition property of equality

C. 4 x = 8

4. given

D. x=2

Answers

To prove that x = 2 in the equation given, first, we write the given.
(4) Given: (A) 12 - x = 20 - 5x
Then, add 5x to both sides of the equation,
(3) Addition property of equality: (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
(2) Subtraction property of equality: (C) 4x = 8
Lastly, divide both sides by 4
(1) Division property of equality : (D) x = 2

Solve for x: x to the negative 3rd power is equal to 27 over 64

Answers

Remember what a negative exponent means ... it's just a positive exponent
in the denominator of a fraction. 'x' to negative 3rd power is the same as 1/x³ .

1/x³ = 27/64

Take the reciprocal of each side:

x³ = 64/27

x= ∛64/27 = ∛64 / ∛27.

64 is the perfect cube of 4.
27 is the perfect cube of 3.

x = 4/3 .

F(x) = 3x + 2 g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7

Find f[g(5)]

A. 92
B. 2
C. 30
D. 242

Answers

Answer:

Step-by-step explanation:

Evaluate g(5), then use the value obtained to evaluate f(x) , that is

g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then

f(30) = 3(30) + 2 = 90 + 2 = 92

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