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xz_007 [3.2K]
2 years ago
9

Given that x and y vary inversely and that y is 8 when x is 2, what is the value of x when y is 18?

Mathematics
1 answer:
Savatey [412]2 years ago
7 0

Answer:

8/9

Step-by-step explanation:

the equation is x = k / y

when x = 2 & y = 8 then k is 16

when you is 18 then x = 8/9

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When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.
melomori [17]

Answer:

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

4 0
3 years ago
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
2 years ago
How to solve (2^3)^4
miv72 [106K]

Answer: 2^12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help! (tell me if you can’t see it)
Anna35 [415]

Answer:

B. y=7x+3

Step-by-step explanation:

You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3

4 0
3 years ago
5√√5 (54)³ =
Alex

Answer:

I hope you can see my writing clearly

4 0
1 year ago
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