All categories

3 years ago

I need help with geometry.

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

Answer:

x=9

Step-by-step explanation:

AIA's are supplementary 15x+45=180

180-45=130

130/15 = 9

You might be interested in

Joan Messineo borrowed $47,000 at a 5% annual rate of interest to be repaid over 3 years. The loan is amortized into three eq

tester [92]

Answer:

a) The value of the Annual Payment is A=$17,258.80

b) Is the picture in the attachment file

c) As you can see it in the picture with each payment, balance comes down, due it is the interest base, Interest portion comes down too.

Step-by-step explanation:

a) First of all, we are going to list the Knowns: $VP=47000$ , $i=5$ % and $n=3$ , Then we can use $A=\frac{VP}{\frac{1-(1+i)^{-n} }{i} } =\frac{47000}{\frac{1-(1+0.05)^{-3} }{0.03} }=17258.80$ . So this is the value of the Annual Payment

6 0

3 years ago

Heathers weekly pay is directly proportional to the number of hours she works at the record store her pay is 174 for 24 hours of

Karolina [17]

Answer:

Heather pay will be <u>290</u> for 40 hours of work.

Step-by-step explanation:

Given:

Amount he gets paid weekly =174

Number of hours of work =24

we need to find the amount of pay for 40 hours of work.

Also Given:

weekly pay is directly proportional to the number of hours.

Framing in equation form we get;

Amount Of Pay ∝ Number of hours of work

Hence Amount of Pay = k × Numbers of hours of work.

where k is constant.

Substituting the values we will find the value of k

$174 = k \times 24\\\\k = \frac{174}{24} = 7.25$

Now using this we will find the amount of pay when hours of work is 40.

Amount Of Pay = $7.25\times 40 = 290$

Hence Heather pay will be <u>290</u> for 40 hours of work.

8 0

3 years ago

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s

iris [78.8K]

Answer:

0.6826

Step-by-step explanation:

Mean(μ) = 37

Standard deviation (σ) = 9

P(28 < x < 46) = ???

Using normal distribution

Z = (x - μ)/σ

For x = 28

Z = (28 - 37)/9

Z = -9/9

Z = -1

For x = 46

Z = (46 - 37)/9

Z = 9/9

Z = 1

We now have

P(-1 < Z < 1)

= P(Z < 1) - P(Z < -1)

From the table, Z = 1 = 0.3413

φ(Z) = 0.3413

Recall that

When Z is positive, P(x<a) = 0.5 +φ(Z)

P(Z<1)= 0.5 + 0.3413

= 0.8413

When Z is negative, P(x<a) = 0.5 - φ(Z)

P(Z< -1)= 0.5 - 0.3413

= 0.1587

We now have

0.8413 - 0.1587

= 0.6826

8 0

3 years ago

Given f'(x) = (x-4)(4-2x), find the x-coordinate for relative maximum on the graph of f(x)

antiseptic1488 [7]

Answer:

The coordinate of the relative maximum is x=4.

Step-by-step explanation:

Given that the derivative of the function $f(x)$ is $f'(x) = (x-4)(4-2x)$ , the maxima and minima or the critical points can be found where $f'(x)=0,$ that is:

$f'(x) = (x-4)(4-2x)=0.$

The solutions to this equation are $x=4$ and $x=2.$

Now, if the second derivative $f''(x)$ for a function $f(x)$ is negative at a critical point, then the critical point is the relative maximum.

Therefore we want to see at which of the two critical points is $f''(x)$ negative. The second derivative is:

$\frac{\mathrm{d f'(x)}}{\mathrm{d}x}=f''(x)=-4(x-3).$

Now $f''(4)$ is $-4$ , and $f''(2)$ is $+4$ , therefore we deduce that the relative maxium is located at $x=4$ , because there the second derivative $f''(x)$ is negative.

4 0

3 years ago

Which is the better buy

Tasya [4]

$12 for 3 pies = $4 for 1 pie
$10 for 2 pies = $5 for 1 pie
store A is the better buy

3 0

3 years ago