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3 years ago

What is x, y, and z?

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

variables

Step-by-step explanation:

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Select all that apply. Select the formulas that give the amount P in the account after the first period.

Lisa [10]

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

4 0

3 years ago

K/2 + 9 = 30 What is k

Tcecarenko [31]

K/2+9=30 1. Start by getting rid of the number farthest from K
-9 -9      2. The nines cancel out, 30-9=21
K/2 = 21   3. Next, get the 2 away from K
/-2 /-2 4. The 2 cancel out when divided, 21 divided by -2= -10.5
K = -10.5
K=-10.5

4 0

4 years ago

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola for y=x^2+6x+13

charle [14.2K]

Answer:

Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

$x=\frac{-b}{2a}$

Note that in general a quadratic equation is such that:

$ax^2+bx+c$

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

$x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3$

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

$f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4$

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

4 0

4 years ago

Can you help me? I will give brainliest!

zzz [600]

Answer:

√1

Step-by-step explanation:

If you do the fractions by squaring them then you get fractions that equal 1:

5/13^2 = 25/169

12/13^2 = 144/169

144/169 + 25/169 = 169/169 = 1

√1

6 0

3 years ago

Use the formula C = 5 (F – 32). To determine which temperature is hotter.

vredina [299]

Answer:

Step-by-step explanation:

The formula u have written is incorrect. It should be C = [5 (F-32)]÷9.

To identify which is hotter, you need to bring both the values either in celsius or in Fahrenheit.

Let's convert 85°F to celsius:

C = [5 ( F - 32 )] ÷ 9

C = [5 ( 85-32 )] ÷ 9

C = [5 (53)] ÷ 9

C = 29.4 °C

thus 30°C is hotter than 85°F

3 0

3 years ago