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AlekseyPX
3 years ago
11

20 points!!!!!!!

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0
The value of his investment at the third year is
F (3)=300×(1.02)^(3)=318.36

The value of his investment at the fifth year is
F (5)=300×(1.02)^(5)=331.22

The average rate of change of the value is
(331.22−318.36)÷2 years=6.43 per year
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Please help me with this question
coldgirl [10]

Answer:

cos(x-30)=1/2

Step-by-step explanation:

We use the following relationship to obtain cos(x)

sin^{2}(x) +cos^{2}(x) +1

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4

To obtain the value of cos(x-30), lets remember the following expression:

cos(a-b)=cos(a)*cos(b)+sin(a)*sin(b)

Therefor, we can use that to obtain our desired function cos(x-30)

cos(x)*cos(30)+sin(x)*sin(30)

\frac{\sqrt{3} }{2} * \frac{\sqrt{3} }{2}  +\frac{-1}{2}*\frac{1}{2}

=2/4=1/2

5 0
4 years ago
Any one know the answer
Marta_Voda [28]

Answer: 4^-2 and 2^-4.

Step-by-step explanation: You chose the right ones.

6 0
3 years ago
What is the 11th term in the sequence: an = -6n +13
Yakvenalex [24]

Answer:

a11 = -53

Step-by-step explanation:

an = -6n +13

We want the 11th term, so n =11

a11 = -6(11) +13

    = -66 +13

    = -53

3 0
4 years ago
#11 The directions on a sewing pattern say to buy an extra 12.5% of fabric to account for error. Sam needs 2.75 yards of fabric
Cloud [144]

Answer:

D

Step-by-step explanation:

Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

Step-by-step explanation:

Total fabric needed by Sam = 2.75

According to directions on a sewing pattern they say to buy an extra 12.5%

So, extra fabric would be: 12.5% of 2.75

Solving

Now adding 0.343 into 2.75 to get extra fabric quantity:

2.75+0.343

=3.09

Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

3 0
3 years ago
Which statement best describes the definition of x^m/n and explains why it makes sense?
Vsevolod [243]
I really don’t know
3 0
3 years ago
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