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3 years ago

Explain why the quotient of two integers with different signs is negative PLEASE.

Mathematics

2 answers:

sattari [20]3 years ago

7 0

Answer:

Step-by-step explanation:

for example if it is

-+-=+

++-=+

faltersainse [42]3 years ago

6 0

Answer:

Ok, so we have the fact that plus +minus=minus

Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.

4+(-5)

So we know that 4 is positive and -5 is negative

if you look at it through a number line, substracting 5 from 4 you have

3--->2---->1---->0---->-1

Under zero, the negatives start, so its proved by maths and logic as well.

Step-by-step explanation:

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120% of x is equal to 78.

Degger [83]

Answer:

A. 1.2x = 78

B. x = 65

Step-by-step explanation:

Just informally, first:

x is the number that we don't know. 120% of that number is a number BIGGER than that number. 120% of x is 78. So 78 is BIGGER than the number that we don't know.

120% of x = 78

Change 120% to a decimal by moving the decimal two places to the left. Multiply.

1.2x = 78

To solve, divide both sides by 1.2

x = 78/1.2

x = 65

4 0

2 years ago

Read 2 more answers

How Much Have I Saved? Portfolio

avanturin [10]

The time value of money calculation can be performed using formula equations or online calculators.

The correct responses are;

1) Option 3

2) Option 2

3) The difference in principal is approximately $8,000

The difference in interest earned is approximately $2,977.87

4) It is better to invest more money at the beginning of the 30 years

Reasons:

Option 1: Present value = 0

Amount invested per month, A = $25/month

The Annual Percentage Rate, APR, r = 3.25%

Number of years = 30

The future value of an annuity is given by the formula;

$\displaystyle FV_{A} = \mathbf{A \cdot \left (\frac{ \left(1 + \frac{r}{m} \right)^{m\cdot t} - 1}{\frac{r}{m} } \right)}$

In option 1, m = 12 periods per year

Therefore;

$\displaystyle FV_{A} = 25 \times \left (\frac{ \left(1 + \frac{0.0325}{12} \right)^{12 \times 30} - 1}{\frac{0.0325}{12} } \right) \approx \mathbf{15,209.3}$

Contribution = $25 × 12 × 30 = $9,000

Total interest earned = $15,209.3 - $9,000 = $6,209.3

Final balance = $15,209.3

Option 2: Present value = 0

Amount, A = $75/quarter

m = 4 periods per year

The Annual Percentage Rate, APR = 4.00%

Therefore;

The effective interest rate is therefore;

$\displaystyle r_{eff} = \left(1 + \frac{0.04}{4} \right)^4 - 1 \approx \mathbf{0.04060401}$

$\displaystyle FV_{A} = 75 \times \left (\frac{ \left(1 + \frac{0.04060401}{4} \right)^{4 \times 30} - 1}{\frac{0.04060401}{4} } \right) \approx 17,437.7$

Using an online calculator, FV = $17,467.04

Contribution = $75 × 4 × 30 = $9,000

Total interest earned = $17,467.04 - $9,000 = $8,467.04

Final balance = $17,467.04

Option 3: Present value = $1,000

APR = 6.25%

m = 12 period per year

Number of years, t = 30 years

Therefore;

$\displaystyle FV = \left (1 + \frac{0.0625}{12} \right)^{12 \times 30} \approx \mathbf{6,489.17}$

Contribution = $1,000

Total interest earned = $6,489.17 - $1,000 = $5,489.17

Final balance = $6,489.17

The table of values is therefore;

$\begin{tabular}{|c|c|c|c|}Option \# &Contribution &Total Interest Earned&Final Balance\\1&\$9,000&\$6,209.3 & \$15,209.3\\2&\$9,000&\$8,467.04 &\$17,467.04\\3&\$1,000&\$5,489.17&\$6,489.17\end{array}\right]$

1) The option that has the least amount invested are option 3

Option 3 investment plan is a present value of $1,000, invested for 30 years at 6.25% APR compounded monthly.

2) Option 2 yielded the highest amount at the end of 30 years, given that the APR is higher than the APR for option 1, although the amount invested over the period are the same.

The basis of option 2 investment plan is $75 invested quarterly at 4.00% APR compounded monthly for 30 years.

3) The difference in the principal invested for the highest and lowest final balance is $9,000 - $1,000 = $8,000

The difference in the interest earned is; $8,467.04 - $5,489.17 = $2,977.87

4) In option 1 the present value is zero, therefore zero amount was invested at the beginning.

The interest to investment ration is 6,209.3:9,000 ≈ 0.7:1

In option 3, all the money was invested at the beginning.

The interest to investment ratio of option 3 is; 5,489.17:1,000 ≈ 5.5:1

Given that the interest to investment ratio, which is the return on investment is larger when more money is saved at the beginning as in option 3, it is better to invest more money at the beginning.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0

2 years ago

Lynn can type 1,650 words in 30 minutes. What is her typing rate, in words per minute?

Marianna [84]

55 words per minute

1650/30 = 55

7 0

3 years ago

Read 2 more answers

Factorization of the expression (3x-2y)((a+b)+(4x-3y)(a+b)

Mrrafil [7]