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Ronch [10]
3 years ago
14

Can someone please help me on this question? Use the following diagram to find the fraction representing each collection of dots

. Please help ASAP I'm really stuck on this math problem which is due tomorrow!!! :(

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

  a.  4/7

  e.  3/4

Step-by-step explanation:

For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.

__

a. The desired fraction is ...

  (dots in the triangle)/(all dots) = 16/28 = 4/7

__

e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4

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If your financial goal is to save at least $40,000 in 10 years, what would be the least
adoni [48]

<em><u>The least amount of money you would need to invest per month is; $335</u></em>

<em><u>The anticipated rate of return on your investments is; 7%</u></em>

<em><u /></em>

  • Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

  • We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

  • Thus, amount to be saved monthly = 40000/12 = $333.33
  • Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

  • Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

  • From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.

Read more at; brainly.com/question/9187598

4 0
2 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​
stiv31 [10]

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

3 0
3 years ago
What is the formula for the area of a rectangle?
PtichkaEL [24]

Answer:

The area of a rectangle is length*width

Step-by-step explanation:

The answer is A

This is simple

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The answer is 5.4 Gallon yeah
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