How do I solve for the quadratic function?

HELP ME PLEASE VERY URGENT QUESTION IN PHOTOOOOO

bekas [8.4K]

Answer:

33% is the correct answer I took the test!

Step-by-step explanation:

mark me brainliest!!

6 0

1 year ago

A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to

Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

$1000=P(1+\frac{0.06}{0.5})^{0.5*6}$

$1000=P(1+0.12)^{3}$

$1000=P(1.12)^{3}$

$1000=P*1.404928$

$\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}$

$P=711.7802478$

$P\approx 712$

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0

3 years ago

How cos π/3=1/2? having some problems learning continuity.

Bingel [31]

You can show that $\cos\frac\pi3=\frac12$ by constructing a triangle.

Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is $\frac\pi3$ radians.

Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.

Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to $\pi$ radians. We know one of the angles is $\frac\pi3$ radians, which leaves a contribution of $\frac{2\pi}3$ radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure $\frac\pi3$ radians.

Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length $\frac12$ , and by definition of $\cos$ we have

$\cos\dfrac\pi3=\dfrac{OC}{OB}=\dfrac{\frac12}1=\dfrac12$

3 0

3 years ago

Please help, I don’t know how to do this.

Molodets [167]

Answer:

Q2: slope = -½

Q3: slope = 1

Step-by-step explanation:

If the equation of the line is in the form y = mx+b, then m is the slope of the line and b is the y-intercept (the point where the line crosses the x-axis).

y = -½x, so the slope of the line is -½

y = x+15, so the slope of the line is 1

6 0

2 years ago

2.

iren [92.7K]

Answer:

Part A: The price of fuel A is decreasing by 12% per month.

Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

Part A:

The function $f(x)=2.27(0.88)^x$ calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month price, f(x)

1 2.27 (0.88) = 1.9976 ≈ 2.00

2 2.27(0.88)² = 1.59808 ≈ 1.60

3 2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

Part B.

Table:

m price, g(m)

1 3.44

2 3.30

3 3.17

4 3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96

ratio = 3.17 / 3.30 = 0.960 ≈ 0.96

ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

5 0

3 years ago