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Veronika [31]
3 years ago
6

Im just typing this so i can reach the 20 character the limit :)​

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Add the degrees of m<VUJ and m<JUT and make them equal to 175 since both angles exist with m<VUT.

17x - 3 + 17x + 8 = 175

34x - 3 + 8 = 175

34x + 5 = 175

34x = 170

x = 5

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In the year 2003 a company made 8.8 million in profits. For each consecutive year after that their profits increased by 6%. How
yaroslaw [1]

Answer:

The company's profit in 2007 was 11.088 millions

Step-by-step explanation:

This is a compound interest problem where the initial amount is 8.8 million, the interest rate is 6% and the time period is 4 years and it gets compounded yearly. So we can use the compound interest formula, that is given by:

A = P*(1 + r/n)^(n*t)

Where A is the final amount, P is the initial amount, r is the rate, t is the total amount of time and n is the number of times it gets compounded in one year. We can now use all the values that were given to us to find out the profit of the company.

A = 8.8*(1 + (0.06))^(4) = 8.8*(1.06)^16

A  = 8.8*1.26 = 11.088 millions

So the company's profit in 2007 was 11.088 millions

6 0
3 years ago
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\&#10;x^2+5x=204 \\&#10;x^2+5x-204=0 \\&#10;x^2+17x-12x-204=0 \\&#10;x(x+17)-12(x+17)=0 \\&#10;(x-12)(x+17)=0 \\&#10;x-12=0 \ \lor \ x+17=0 \\&#10;x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\&#10;\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
When v= -7 and C=2 look at picture
Bond [772]

Answer:

7

Step-by-step explanation:

insert the numbers and divide

-4(-7)= 28

2^2= 4

28/4= 7

5 0
3 years ago
Read 2 more answers
In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 t
kramer

Answer:

\frac{10}{53 \times 46 \times 26}

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

\frac{1}{46}

The number of possible pairs of numbers from 1 to 53 is

\binom{53}{2}  =  \frac{53 \times 52}{2}  = 53 \times 26

Choosing 5 numbers, you are choosing 10 different pairs:

\binom{5}{2}  =  \frac{5 \times 4}{2}  = 10

Therefore the probability of correctly matching the drawn pair is

\frac{10}{53 \times 26}

Thus, the probability of winning (matching the pair AND the gold ball) is

\frac{10}{53 \times 46 \times 26}

4 0
3 years ago
Which polynomial function can be represented by the graph below
s344n2d4d5 [400]

<u>Answer:</u>

The correct answer option is C. f(x)=-2x^3-2x^2+12x.

<u>Step-by-step explanation:</u>

From the given graph of the polynomial function, we can see that the graph passes through the following points: (-3,0), (0,0) and (2,0).

So the roots or zeros of this polynomial function are: -3,0 and 2.

Now, we'd graph the equation of the given polynomial and will check for roots and end behavior of the graph.

Therefore, the polynomial function that is represented by the graph is:

f(x)=-2x^3-2x^2+12x

8 0
3 years ago
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