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4 years ago

(6x)=30 absolute value equations

Mathematics

2 answers:

AleksAgata [21]4 years ago

7 0

the answer is 5 because you have to divide both sides by 6

Delvig [45]4 years ago

4 0

You are trying to figure out I think what x equals. So you can set it up in 2 different ways. One is since you know the answer and what it equals and a the number times whatever, you can set it up as 30 divided by 6= x, since you don't know what x is.

Or you can set it up like how it already is, and do 6 times x= 30.

All in all, the answer is 5!

Hope this helps, have a good day. c;

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The number of hours Hannah practices each week is 3 hours less than twice the number of hours Darcy practices. If n represents t

worty [1.4K]

Answer:

2n-3

Step-by-step explanation:

n represents the number of hours Darcy practices.

The number of hours Hannah practices each week is 3 hours less than twice the number of hours Darcy practices.

Twice the number of hours Darcy practices is 2n.

Hannah practices for : 2n-3

Hence, the expression that represents the number of hours Hannah practices is "2n-3".

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3 years ago

Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals

GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

$A=P(1+rt)$

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

$A=2000(1+0.02(20))$

Multiply and add:

$A=2000(1+0.4)=2000(1.4)$

Multiply. So, the total amount of money in Account A after 20 years is:

$A=\$2800$

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of $2800-2000=\$ 800$

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

$B=P(1+\frac{r}{n}})^{nt}$

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

$B=2000(1+\frac{0.02}{1})^{(1)(20)}$

Simplify this to acquire:

$B=2000(1.02)^{20}$

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

$B\approx\$2971.89$

Since our principal was $2000, this means that we earned an interest of approximately $2971.89-2000=\$ 971.89$ .

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned $971.89-800=\$ 171.89$ more than Account A.

And we're done!

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3 years ago

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