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Diano4ka-milaya [45]
4 years ago
15

How much principle, to the nearest dollar, should you invest at 4 percent in order to have $3000 for a vacation to Europe in 3 y

ears
Mathematics
1 answer:
KiRa [710]4 years ago
4 0

Answer:

Principle should be $2,667

Step-by-step explanation:

We need $3000 for a vacation to Europe in 3 years.

Using amount formula,

A=P(1+r)^t

Where, P is principle (P=?)

A is amount (A=3000)

r is rate of interest (r=0.04)

t is time (t=3)

Substitute the values into formula and solve for P

3000=P(1+0.04)^3

3000=P(1.04)^3

P=\frac{3000}{1.04^3}

P=2666.98

P\approx \$2667

Hence, Principle should be $2,667

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The sum of two numbers is 30 and their difference is 6
Studentka2010 [4]

I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where a and b are the two numbers):

a + b = 30

a - b = 6


We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:

2a = 36

a = 18


To find b, substitute the value for a into one of the earlier equations:

18 + b = 30

b = 12


The two numbers are 12 and 18.

4 0
3 years ago
Which of the following are point-slope equations of the line going through (3, 6) and (1, -2)? 
Assoli18 [71]
Here, first we need to calculate the slope of the line, 
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m = 8/ 2
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Now, Take first coordinate: y - 6 = 4 (x - 3)
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In short, Your Answers would be Option A & F

Hope this helps!
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salantis [7]
8x^3 + 2x^2 - 18x -12
6 0
3 years ago
I don’t get this at all, can someone please help
JulsSmile [24]

Answer:

m = 44

Step-by-step explanation:

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or 100 + m = 144. subtract 100 from both sides, you get m = 44

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ale4655 [162]
The answer is 0.555556 I really hope this helps!                      
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