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coldgirl [10]
2 years ago
7

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Montano1993 [528]2 years ago
3 0

Step-by-step explanation:

Use the compound interest formula:

A = P( 1 + r/n)^nt

A is the amount at the end

P is the principal or original amount.

R is annual rate as a decimal (you have to convert)

N is the # of compounding periods in a year (quarterly means 4)

T is time in years

A = 500( 1 + 0.0475/4)^(4×20)

This would be $1285.64 when fully computed.

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Solve the following expression when<br> m = 5 and d = 4<br> m2 + 2d + 8 + d
docker41 [41]
M2 + 2d + 8 + d

5(2) + 2(4) + 8 + 4

10 + 8 + 8 + 4

10 + 16 + 4

26 + 4

30
8 0
2 years ago
Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ
Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

6 0
3 years ago
line J passes through points (-6,1) and (-3,6) . Line m is parallel to line j and passes through point (15,-1).what is the equat
VMariaS [17]
Slope of the line J
(6-1) / (-3-(-6))
5 / 3

so
m = 5/3

If this line passes through (15,-1)
y = mx + c
-1 = (5/3)*15 + c
-1 = 25 + c
c = -26

equation is
y = (5/3)x - 26
7 0
3 years ago
You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it
aliina [53]

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

4 0
3 years ago
Round of 1,546 to the<br> nearest thousands
EleoNora [17]

Answer:

1,546 ≈ 2,000

Hope this helps :)

1. To round to nearest thousands, first look at the hundreds place if the number is 1,2,3,4 then round down. If the number is 5,6,7,8,9 then round up.

4 0
1 year ago
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