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insens350 [35]
3 years ago
6

​$ 3000 for 3 years at 6​% compounded semiannually

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
Included a pic of the solution and work.

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Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie
vlada-n [284]

Recall the double/half angle formulas:

\cos^2\dfrac x2=\dfrac{1+\cos x}2

\sin^2\dfrac x2=\dfrac{1-\cos x}2

We're given \sin u=\frac{24}{25}, and since u is between π/2 and π, we expect \cos u to be negative. So from the Pythagorean identity, we find

\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}

Also, we know \frac u2 will fall between π/4 and π/2, so both \sin\frac u2 and \cos\frac u2 will be positive. Then we find

\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35

\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45

and it follows that

\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43

8 0
4 years ago
Mary sews at a rate of 60 inches per hour. How many feet does she sew in a minute?
Varvara68 [4.7K]

Answer:

0.083 feet per minute

Step-by-step explanation:

I hope this explanation helps you understand better if you have another question like this.

4 0
3 years ago
Place the following expressions in order from least to greatest based on the differences. = -6 = (-8) -1.9 = 4.3 2.5. - 8​
aksik [14]

Answer:

yes

Step-by-step explanation:

reddit karma

7 0
3 years ago
How do you solve 8a+a-3=6a-2a-3 step by step
Kryger [21]
8a + a - 3 = 6a - 2a - 3

1. Add the a's on both sides:

9a - 3 = 4a - 3

2. Shift 4a to the left and -3 to the right of the equals sign (this changes their signs):

9a - 4a = -3 + 3

3. Simplify:

5a = 0

So a = 0

7 0
3 years ago
Please help me, GodBless.
Fed [463]

Answer:

m= 5/2

Step-by-step explanation:

Points: (0, 2) and (4, 12)

Slope:

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

m=(12-2)/(4-0)

m=10/4

m= 5/2

3 0
3 years ago
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