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inna [77]
3 years ago
10

a pool only open when the temperature is at least 72 degrees. Which inequality represents the temperature t, when the pool is op

en?
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

t ≥ 72

Step-by-step explanation:

The pool has to be at least 72° or MORE to open, so we are going to have a greater sign with an equal sign under indicating that the temperature has to  at least be 72° or be greater than 72°. (≥)

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Can someone help me with this please
Arturiano [62]

Answer:

The first box is (3,2) the next one is (15,10), then mark the plot, make sure it's in a diagonal line. Mark (15,10) and (3,2) on the plot.

Step-by-step explanation:

7 0
3 years ago
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays
Iteru [2.4K]

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

  • The interest earned after one year is <u>0.018·x</u>

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\displaystyle Interest, \ I  = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}

Plugging in the values gives;

\displaystyle I  = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}

Which gives;

\displaystyle Interest = \frac{x \times 1.8 \times 1}{100}  = 0.018 \cdot x

Interest earned by investing in the savings account for one year, I = 0.018·x

  • The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>

Learn more here:

brainly.com/question/11314161

4 0
2 years ago
Find the other endpoint of a line segment which one endpoint at (-3, 5) and whose midpoint is (5, 2)
Feliz [49]
So to find the other endpoint you need to see  how far the first endpoint is to the midpoint. In X's place we have a total distance of
5- (-3)= 8 place away from one another so 
5+8= 13

while in the y's case 
5-2=3 place away from one another so 
2-3= -1

so your order pair is 
(13,-1)

7 0
3 years ago
Read 2 more answers
Find an equation for the plane that contains the line v = (−1, 1, 2) + t(7, 6, 2) and is perpendicular to the plane 8x + 5y − 7z
Nadusha1986 [10]
The required plane &Pi; contains the line 
L: (-1,1,2)+t(7,6,2)
means that &Pi; is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>

It is also required that &Pi; be perpendicular to the plane
&Pi; 1 : 5y-7z+8=0
means that &Pi; is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.

Thus the normal vector of the required plane, &Pi; can be obtained by the cross product of vl and vp, or vl x vp:
 i  j  k
7 6  2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35> 
which is the normal vector of &Pi;

Since &Pi; has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
&Pi; :  -52(x-(-1))+49(y-1)+35(z-2)=0
=>
&Pi; :  -52x+49y+35z = 171

Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0   ok
6 0
4 years ago
Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.
Murljashka [212]

Answer:

least value of n is 9

Step-by-step explanation:

Mary has n sheep. Then she buys 17 extra sheeps.

Mray = n + 17 sheeps

Sam had exactly 4 times as mary. Then Sam sold 8 of his sheep.

Sam = 4n - 8 sheep.

Sam has more sheep than Mary

Sam sheep is greater than Mary

4n - 8 > n + 17

Collect like terms

4n - n > 17 + 8

3n > 25

Divide both sides by 3

n > 25/3

n > 8.3333

Note: the value of n must be whole

Therefore, least value of n is 9

8 0
3 years ago
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