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nalin [4]
3 years ago
15

Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. Part B: How many term

s are in each factor of this expression? Part C: What is the coefficient of the variable term?
Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0
A. 9 and 7+2x B. 1 and 2 respectively. C. 2 from 2x
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Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m
kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

7 0
2 years ago
Find the missing number so that the equation has no solutions.<br> x+10=<br> –<br> 2x+4
hjlf

Answer:

x + 10 = x

Has no solution because when you simplify it, you get

10 = 0 which is a false statement

2x + 4 = 2x

Has no solution

Because if reduces to 4 = 0

3 0
3 years ago
Exponential regression pls help fast​
liberstina [14]

Answer:

B.

Step-by-step explanation:

Exponential regression means a function that best fits the graph, or data table.

If we were to replace x (the input) with 1, A and C are eliminated options since they both equal very low values.

D is also eliminated, if the input was 1 it would not equal relatively close, rather it would be 1000.7

<u>Let's check B:</u>

f(x) = (1000)(0.7)^{x}

f(1) = (1000)(0.7)^{1}

f(1) = 700

Letter B best fits the data table.

*at f(1) A, C, and D are eliminated, their outputs are far from the value for 707.

5 0
2 years ago
The force of an object (f) is equal to its mass (m) times its acceleration (a). Thus, the formula for calculating force is f = m
Grace [21]
Your answer would be D. Bc you haven't divide a from b to get f on the other side if the equation.
5 0
3 years ago
Read 2 more answers
Evaluate:<br><br> 12×2.4×2.4×7=
Alexxandr [17]

Answer:

483.84

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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