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Kay [80]
3 years ago
6

katelyn invested $2325 in a savings account which earns 3.45% interest compounded monthly. What will the account be worth in 7 y

ears?
Mathematics
1 answer:
Airida [17]3 years ago
8 0
$2959

Use the compound interest formula. 
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during a basketball game justin attempted 40 shots and made 18. He says he made 35% of the shots is justin correct
Vikentia [17]

Answer:

No, Justin is incorrect.

Step-by-step explanation:

1. To find how much 18/40 as a percent is, we just multiply 18/40 by 100:

  • \frac{18}{40} * 100
  • \frac{9}{20} * 100
  • \frac{900}{20}
  • 45

2. As you can see, 18/40 as a percent is 45%, not 35%. Therefore, Justin is incorrect.

5 0
2 years ago
The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

b) r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

4 0
3 years ago
Which of the following is NOT one of the angle measures?
makkiz [27]

I believe that 95 isn't one of the measures

3 0
3 years ago
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Which of the following is known as a simpler form of Euclid's fifth postulate
Deffense [45]

Answer:

A.  Playfair's axiom.

Step-by-step explanation:

In a plane, given a line and a point not on it, at most,  one line parallel to the given line can be drawn through the point.

- this implies Euclid's fifth postulate.

8 0
2 years ago
What is the factorization of the trinomial below? 3x3 + 6x2 - 24x
Allisa [31]

3x^3 + 6x^2 - 24x

= 3x(x^2 + 2x - 8)

= 3x(x + 4)(x - 2)

Hope it helps.

8 0
3 years ago
Read 2 more answers
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