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Bond [772]
2 years ago
11

10

Mathematics
1 answer:
ZanzabumX [31]2 years ago
4 0

Answer:

15(6.5% * 7000)+7000=y

Step-by-step explanation:

15(6.5% * 7000)+7000=y

im not sure tho

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Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The t
enot [183]

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=\frac{2}{5}x-60

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

x=\frac{y-150}{2.5}

x=\frac{y}{2.5}-\frac{150}{2.5}

x=0.4y-60=\frac{2}{5}y-60

Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u>\frac{2}{5}x-60<u><em></em></u>

7 0
3 years ago
The cube of the difference of a number and 4
lbvjy [14]

Answer:

(x - 4)³

Step-by-step explanation:

"The cube of x" would be x³.  The difference of a number and 4 would be x - 4.

Therefore, "the cube of the difference of a number and 4" would be

(x - 4)³

6 0
3 years ago
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
seraphim [82]

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

6 0
3 years ago
Find the length of the missing side Geometry
leonid [27]

7.

Since it is a right triangle we can use Pythagorean Theorem to solve.

A^2+B^2=C^2

We are given C and B. We are solving for A, so we can input what we know.

A^2+24^2=25^2

A^2+576=625

A^2=49

A=7

Therefore, the missing side is equal to 7.

5 0
2 years ago
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