How to calculate the percentage of the third year .i want extra detailed steps

What is a parabola? pls help because i need this quick.

KiRa [710]

A parabola is a curved shape in a graph that has either a maximum or a minimum (which is the fixed point) and any point is equidistant from that fixed point. You can tell it is a parabola because most likely in an equation the x with be squared.

3 0

4 years ago

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.

Pachacha [2.7K]

Answer:

500 lbs of mixed nuts

Step-by-step explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.

8 0

3 years ago

The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

4 years ago

Joan’s uncle has promised her $20,000 when she graduates college 4 years from now. What is the equivalent amount stated in today

MaRussiya [10]

Answer:

2:10

Step-by-step explanation:

pow pow

8 0

3 years ago

Graph the solution to the inequality<br> |y+5|> 2

kirill [66]

Answer:

y>-3 y>-7

Step-by-step explanation:

-(y+5)>2

y<-7

7 0

4 years ago