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jonny [76]
3 years ago
5

Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground

level. Its position is labeled as _____.
Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

Its position is labeled as -5

Step-by-step explanation:

For elevator 1.

Its position after moving 10 ft up is;

p1 = r + 10

r = reference position.

given that p1 = +10

+10 = r + 10

r = 10 - 10 = 0

The reference position (ground floor) is zero

Since the Elevator 2 moves downward from the reference position (ground floor), it moves in the negative direction.

Its position can be written as;

p2 = r - 5 = 0 - 5 (since r = 0)

p2 = -5

Its position is labeled as -5

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Steven's savings account switches from compounding interest annually to quarterly. His account earns 3% interest yearly. Steven
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Answer:

$0.95 more.

Step-by-step explanation:

The principal of $500, when invested at APR of 3% for 5 years compounded annually will become

S_1 = 500(1 + \frac{3}{100})^{5} = 579.64 dollars.

Again, the principal of $500, when invested at APR of 3% for 5 years compounded quarterly will become

S_2 = 500(1 + \frac{3}{100 \times 4})^{5 \times 4} = 580.59 dollars.

Therefore, Steven will have $(580.59 - 579.64) = $0.95 more money in his account due to switching from annually to quarterly compounding. (Answer)

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Answer:

2/6 or 1/3

Step-by-step explanation:

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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?
Leona [35]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

\left. \begin{array}  { l  }  { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2m+n=2, \: 3m-2n=3

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

2m+n=2

Subtract n from both sides of the equation.

2m=-n+2

Divide both sides by 2.

m=\frac{1}{2}\left(-n+2\right)  \\

Multiply 1/2 times -n+2.

m=-\frac{1}{2}n+1  \\

Substitute -\frac{n}{2}+1\\ for m in the other equation, 3m-2n=3.

3\left(-\frac{1}{2}n+1\right)-2n=3  \\

Multiply 3 times -\frac{n}{2}+1\\.

-\frac{3}{2}n+3-2n=3  \\

Add -\frac{3n}{2}\\ to -2n.

-\frac{7}{2}n+3=3  \\

Subtract 3 from both sides of the equation.

-\frac{7}{2}n=0  \\

Divide both sides of the equation by -\frac{7}{2}\\, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{\underline{ \bf \: n=0 }}

Substitute 0 for n in m=-\frac{1}{2}n+1\\. Because the resulting equation contains only one variable, you can solve for m directly.

\large \underline{ \underline{\bf \: m=1 }}

The system is now solved.

\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}

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Determine The missing number in the equation <br><br> 3 + 9= +4
Bad White [126]

3 + 9 = 12/3 = positive 4 the missing number in the equation is 12/3.

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3 years ago
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