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lilavasa [31]
3 years ago
12

A rectangle has a length of 2 meters and a width of 40 centimeters. what is the perimeter of the rectangle?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0
40 cm = 40/100 = 0.4 m

perimeter of the rectangle = (2+0.4) * 2 = 2.4 * 2 = 4.8 <span>meters </span>
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1. What is the constant of variation for the relationship f(x) = 40x?
yKpoI14uk [10]
1. The coefficient of x is the constant of variation. It is 40.

2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x
8 0
3 years ago
Plz help I need this to be answered
yawa3891 [41]
The correct graph is D. 

We can tell this for two reasons. Firstly, you would need a dotted line. Since the equation includes a greater than sign, and not a greater than or equal to sign, it must be dotted. 

Then we need to figure out whether to shade above or below the line. The best way to find this is by checking whether the point (0,0) should be shaded. 

y + 2 > -3x - 3
0 + 2 > -3(0) - 3
2 > -3 (TRUE)

Since this is a true statement, the side with (0,0) needs to be shaded. Graph D is the only one that has a dotted line and (0,0) shaded. 
8 0
3 years ago
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 <u>option 3</u>

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

2) <u>Option 2</u> 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 = <u>$8,000</u>

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

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, <u>it is better to invest more money at the beginning</u>.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0
3 years ago
Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all
tatuchka [14]

Answer:

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

A <em>prime number</em> is a number which is divisible either by 1 or the number itself.

No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

435 = 3\times 145

Factorizing 145 further:

435 = 3\times 5\times 29

No further factors are possible.

Therefore 3, 5 and 29 are the prime factors of 435.

So, the answer is:

Possible locker numbers for Selma are: 3, 5 and 29

3 0
2 years ago
Find the value of "x" in the figure shown.
nasty-shy [4]
X is equal to 62 because it has to equal to 180
7 0
3 years ago
Read 2 more answers
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