If (-3, y) lies on the graph of y = (1/2)^x, then y =

1 answer:

6 0

$\text{If (-3, y) lies on the graph of}\ \ y = \left(\dfrac{1}{2}\right)^x, \text{then substitute x = -3}\\\text{ to the equation and calculate y}:\\\\y=\left(\dfrac{1}{2}\right)^{-3}=(2)^3=8\\\\Answer:\ \boxed{y=8}\\\\Used:\ a^{-n}=\dfrac{1}{a^n}$

You might be interested in

Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.

BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

$PV = \$10,110$

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r}$

Where r is monthly interest rate.

MP is the monthly payment.

$PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}$

$PV = 375 \times (26.96)$

$PV = \$10,110$

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0

3 years ago

How many zeros does the function ????(x) = 3x^2 + 6x + 2 have? Explain how you know.

maxonik [38]

Answer:

The function has 2 zeros:

$x = -1 - \frac{1}{\sqrt{3}}\\x = -1 + \frac{1}{\sqrt{3}}$

Step-by-step explanation:

When you have a polynomial function, you can identify the grade of the function (the grade is the maximum potency) and this is the number of zeros that the function will have. In this case, you have a second-grade polynomial function that has 2 zeros.

6 0

3 years ago

What kind of triangle is this?

kolezko [41]

C.) obtuse Hope this helps!

5 0

3 years ago

Read 2 more answers

Solve the following by completing the square :<br> x2 - 6x + 7 = 0<br>

Arisa [49]

Answer:

Step-by-step explanation: