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Darya [45]
3 years ago
6

Hi! Please find the equation of the line that is perpendicular to y = 2/3x - 1 and passing through (8, 10). Thanks!

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
The slope of the perpendicular line would be -3/2 as the slopes should multiply to equal -1.

Using point slope formula, (y-10)= -3/2(x-8)

y-10= (-3x/2) + 12
y= (-3x/2) + 22
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How much more would $8,000 earn in four years compounded daily at 5% than compounded annually at 5%?
QveST [7]

Answer:

Given the statement:

8,000 earn in four years compounded daily at 5%

To find the amount we use formula:

A = P(1+\frac{r}{n})^{nt}

where P is the principal , A is the amount , n is number of times compounded per year and t is the time in year.

Here, Principal(P) = $8000, r = 5% and n = 365

Substitute these given values we get;

A_1= 8000(1+\frac{5}{365})^{365 \cdot 4}

A_1= 8000 \cdot 1.000137^{1460}

A_1= 8000 \cdot 1.22141

Simplify:

A_1= \$9771.28

To find the Interest we use formula:

I_1= A_1-P

I_1= 9771.28 -8000 = \$1771.28

It is also given that:

8,000 earn in four years compounded annually at 5%.

Here, P = $8000, r = 5% , t =4 year and n = 1

Using the same formula to calculate the amount:

A_2 = 8000(1+\frac{5}{1})^{1 \cdot 4}

A_2= 8000(1.05)^4

Simplify:

A_2= \$9724.05

To find the Interest :

I_2= A_2 - P

I_2= 9724.05 - 8000= \$1724.05

Then;

I_1-I_2 = 1771.28-1724.05 = \$47.23

Therefore, $47.23 more would  $8,000 earn in four years compounded daily at 5% than compounded annually at 5%





6 0
4 years ago
The following data points are last week's revenues (in thousands of dollars) for the
kramer

Answer:

3.14 thousand dollars

Step-by-step explanation:

Standard deviation is the average distance of your data values from the mean (basically, how far off you were from the center). We calculate standard deviation or σ by taking each value, subtracting it from the mean, squaring it, then dividing by the mean.

First, we need to find the mean, which is the sum of all values / number of values.

5 + 6 + 5 + 10 + 9 = 35 / 5 = 7

Take the absolute value of the difference of each value from 7:

5 - 7 = 2

6 - 7 = 1

5 - 7 = 2

10 - 7 = 3

9 - 7 = 2

Square each of these values and add them together:

2^2 + 1^2 + 2^2 + 3^2 + 2^2 = 22

Divide the sum by the mean:

22 / 7 = 3.14

<u>The standard deviation is 3.14 thousand dollars.</u>

6 0
4 years ago
Read 2 more answers
What is 2.6 as a mixed number in simplest form?
Stolb23 [73]
So .6 is essientaly 6 over 10. A mixed number is an integer (whole number) with a fraction. So, you take the 2 and combine it with the 6 over 10. However, it asks for it in simpliest form. Therefore, you recongnize you can divide the 6 and 10 by 2. Your final answer should be 2 and 3 over 5.
5 0
3 years ago
Which of the following has the least steep graph?
AfilCa [17]
Least steep graph would be the one that is closest to zero
slope=rise/run, theh smaller the slope, the smaller the rise/run


y=mx+b
m=slope

A. y=3x-16, slope is 3
B. y=2x+7/15, slope is 2
C. y=1/2x+3, slope is 1/2
D. y=1x+24, sloe is 1


1/2 is closest to zero

C is least steep slope
5 0
4 years ago
Read 2 more answers
Find the equation of the line shown​
ValentinkaMS [17]

Answer:

y = 2x

Step-by-step explanation:

We know the y intercept of the line is 0

We can find the slope

(0,0) and  (3,6)

m = (y2-y1)/(x2-x1)

   = (6-0)/(3-0) = 6/3 = 2

The equation of a line in slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y =2x+0

y = 2x

7 0
3 years ago
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