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sashaice [31]
3 years ago
14

List 1 value that would make this inequality true. 9 - n ≥ 4(How did you solve this)

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
9-1 > 4 = 8>4
This shows that 8 is greater than 4
borishaifa [10]3 years ago
6 0
8 is greater than 4 (9-1>4)
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Find the lateral area of this cone.
Fiesta28 [93]

Answer:

65π

Step-by-step explanation:

Slant height, l = √r² + h²

l = √5² + 12²

l = √25 + 144

l = √169

l = 13

Lateral area = πrl

Lateral area = π5*13

Lateral area = 65π

4 0
3 years ago
You have $500,000 saved for retirement. Your account earns 8% interest. How much will you be able to pullout each month, if you
borishaifa [10]

The rule of the payout annuity is

P=\frac{d(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}}

P is the initial amount

d is regular withdrawals

r is the annual rate in decimal

n is the number of periods in a year

t is the time

Since you have $500 000 saved, then

P = 500000

Since the interest is 8%, then

r = 8/100 = 0.08

Since the time is 15 years, then

t = 15

Since you want the monthly amount, then

n = 12

Substitute them in the rule to find d

\begin{gathered} 500000=\frac{d(1-(1+\frac{0.08}{12})^{-12(15)})}{\frac{0.08}{12}} \\ 500000(\frac{0.08}{12})=d(1-(\frac{151}{150})^{-180}) \\ \frac{10000}{3}=d(1-(\frac{151}{150})^{-180}) \\ \frac{\frac{10000}{3}}{(1-(\frac{151}{150})^{-180})}=d \\ 4778.260422=d \end{gathered}

Then you will be able to pull $4778.260422 each month

4 0
1 year ago
What is the length of a 50-inch TV that has a width of 27 inches?
drek231 [11]

Answer:

42.08inches

Step-by-step explanation:

Given data

SIze of TV= 50 inch

Width= 27inches

Length= ??

Applying Pythagoras theorem

z^2= x^2+y^2

50^2=  x^2+27^2

square root both sides

50^2= x^2+27^2

2500= x^2+ 729

2500-729=x^2

1771=x^2

x= √1771

x= 42.08

Hence the lenght is 42.08inches

7 0
3 years ago
Taxi company A charges $4 plus $2 per mile. Taxi company B charges $5 plus $3 per mile. Which system best represents this proble
LiRa [457]

Answer:

The second option

Step-by-step explanation:

To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).

By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.

**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!

4 0
3 years ago
Write the equation of the line that goes through each set of points (-1,6),(3-2)
Mariana [72]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-1, 6) and (3, -2). Substitute:

m=\dfrac{-2-6}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-1))\\\\y-6=-2(x+1)\qquad\text{use distributive property}\\\\y-6=-2x-2\qquad\text{add 6 to both sides}\\\\y=-2x+4\qquad\text{add 2x to both sides}\\\\2x+y=4

<h3>Answer:</h3><h3>y - 6 = -2(x + 1)    <em>point-slope form</em></h3><h3>y = -2x + 4      <em>slope-intercept form</em></h3><h3>2x + y = 4     <em>standard form</em></h3>
4 0
3 years ago
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