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MaRussiya [10]
4 years ago
9

A worker earned a 2%

Mathematics
1 answer:
sveta [45]4 years ago
4 0

Answer:

The expression 1.02^(4+n) can be used because 1.02^4 * 1.02^2= 1.02^(4+n) AND this is option C.

Step-by-step explanation:

For 4 + N years = (1 + 2/100)^(4+N)

= 1.02 ^ (4+N)

Remember, that the number of years is increased by N and interest rate remain the same, and n is years, and which is now 4+ N.

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Find all values of k for which the function y=sin(kt) satisfies the differential equation y′′+16y=0. Separate your answers by co
VashaNatasha [74]

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

4 0
3 years ago
Is (18+35) x 4 = 18 + 35 x 4 true or false?
grin007 [14]
The answer to your question is false
8 0
3 years ago
Read 2 more answers
In the 30-60-90 triangle below, side s has a length of<br> and side q has a<br> length of
zaharov [31]

Answer:

Step-by-step explanation:

The Pythagorean triple for a 30-60-90 triangle is, in terms of patterns,

(x, x√3, 2x) where x is the length of the side across from the 30 degree angle, x√3 is the length of the side across from the 60 degree angle, and the length of the hypotenuse is represented by 2x. We have the length of the hypotenuse given as 10. Therefore:

2x = 10 (the formula for the length of the hypotenuse is set equal to the value of the hypotenuse, allowing us to solve for x) so

x = 5. Look up above at the triple. The side length across from the 30 degree angle measures x; if x = 5, then side s = 5.

The formula for the side length across from the 60 degree angle is x√3, and again, if x = 5, side q = 5√3 which is choice C.

5 0
3 years ago
Expand the decimal number 453682​
tester [92]

0.453682

= 0.4+0.05+0.003+0.0006+0.00008+0.000002

453682.0

= 400000+50000+3000+600+80+2+0.0

Must click thanks and mark brainliest

5 0
3 years ago
The force on an area 16 m by 12 m is 24,000 N. What is the pressure per square meter?
Dmitrij [34]
Recall that 
Pressure = Force ÷ Area

In this context we have,
Pressure = 24,000 ÷ (16 × 12)
               = 24,000 ÷ 192
               = 125 Pa
6 0
4 years ago
Read 2 more answers
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