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oksian1 [2.3K]
2 years ago
14

Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximatel

y $8,000 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 4% semiannually, how much does she need to deposit today to cover the total cost of her visit?
Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0

9514 1404 393

Answer:

  $6307.95

Step-by-step explanation:

The compound interest formula can help with that.

  A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.

  P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95

Momba needs to deposit $6307.95 today to have $8000 in 6 years.

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Answer: 11/3

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3 years ago
Ula<br> - 4 5/8 divided by 1 1/2
bogdanovich [222]

<em>Answer:</em>

The exact form is 5/44 and decimal form is .1136

<em>Step-by-step explanation:</em>

Divide by a fraction and multiply by its reciprocal

5/8  * 2/11

Cancel the common factor 2

5/4  * 1/11

Multiply 5/4 and 1/11

<em>5/4(11)</em>

The result is

<em>5/44 or .1136</em>

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4 years ago
How many are 4 x 4 ?​
Ne4ueva [31]

Answer:

16

Step-by-step explanation:

6 0
4 years ago
So my math teacher doesn't give us any steps to know how to do the equations. She just tells us the unit, then the vocab plus th
Lemur [1.5K]

I personally understand what you are saying... everyone has a teacher like that at least once in their schooling.


Doing two-step equations can sometimes be tricky, even if you understand the topic pretty well. All two-step equations are: equations that require two objectives to solve for the variable (That's why it's called a <em>two-step </em>equation).

There are multi-step equations...but let's take one bite at a time.

First, let's establish one simple rule:

Anything you do to one side of the algebraic equation, you must do to the other side for the equation to remain true.

For example:

2x-4=20


So, we have this 2x-4 just chillin' out with the x. When trying to solve for a variable, this is usually not what we want. The x needs to be alone for us to know what x equals.

For the first step of getting x alone, we can add 4 on each side of the equation to cancel out the -4 on the variable's side. Remember to do it on both sides of the equation!

2x-4=20 becomes 2x-4+4=20+4

Did you see what I did there? All I did was basically add 4 to 2x-4 and 20. The equation remains equal, but using that simple rule, we were able to get one step closer to isolating the x in the equation.

To continue...

2x-4+4=20+4

2x-4+4 turns into 2x <em>(This is because the -4 and the +4 cancel out.)</em>

Now we have 2x=24

This next step should look familiar to you (assuming you already know how to solve for one-step equations, I'll keep it short and sweet).

2x=24

Now, since 2x is the same as saying 2 times x, we can do the opposite of multiplication...which is <em>division, </em>like so:

\frac{2x}{2} =\frac{24}{2}

The 2's will cancel each other out and \frac{24}{2} simplifies to 12.


Awesome! Looks like we solved our two-step equation!

In the equation: 2x-4=20 , x=12


Some things to remember:

  1. What ever you do to one side of the equation, you must do to the other.
  2. You want to apply the opposite sign of the number you are trying to cancel out of the equation while isolating the x.
  3. Never make it harder than it needs to be. It is called a two-step equation for a reason, multi-step requires more than two...but wait until you have to work those before you start using fifty different ways to solve the equation.

Hope I was able to help you out! Have a good one, and God bless!

<em>Also, if you are confused about something I answered, or I may be incorrect, feel free to let me know!</em>

4 0
3 years ago
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