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4 years ago

NEED HELP FAST PLEASE!

Mathematics

2 answers:

Schach [20]4 years ago

5 0

y=1/2x-3 is the equation for the line. The slope is 1/2, and the y intercept is 3.

ratelena [41]4 years ago

3 0

(0, -3)(2, -2)
slope = (-2 + 3)/(2-0) = 1/2

b = -3
equation
y = 1/2x - 3

answer is A
y = 1/2x - 3

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What is the Value of x when x + 10=4?

Kisachek [45]

Answer:

-6

Step-by-step explanation

x+10=4

x=4-10

x=-6

5 0

4 years ago

Jessica has two strings. The first string measures 80 centimeters and the second string measures 64 centimeters.She wants to cut

finlep [7]

Answer: 16 inches.

Step-by-step explanation:

given data:

length of string A = 80 centimeters.

length of string B = 64 centimeters.

step 1

we solve for the Highest common denominator between them.

highest common denominator = 16.

what this represents is that no string would be cut more than 16inches so they can all have equal lengths at the end of cutting.

4 0

3 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

3 years ago

I can't figure this one out...

worty [1.4K]

Answer:

the area would be 36(pi) since you can't find out the exact value of pi (22/7) and where it would terminate so thats the most exact answer you can get. The circumference would be

Step-by-step explanation:

12/2 = 6

Area = (pi)radius^2

6^2 = 36

36(pi)

Circumference: (pi)d

12(pi)

For approximate area you multiply r^2 by 3.14

For approximate circumference you multiply diameter by 3.14

5 0

3 years ago

Read 2 more answers

Just this please helppp

Murrr4er [49]

The height of the water depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

<h3>How to derive equations for periodical changes in time</h3>

According to the two cases described in the statement, we have clear example of sinusoidal model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B) (1)

Where:

a - Initial position, in meters.
A - Amplitude, in meters.
t - Time, in hours or seconds.
T - Period, in hours or seconds.
B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

To learn more on sinusoidal models: brainly.com/question/12060967

#SPJ1

5 0

2 years ago