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2 years ago

12

the table shows the number of lift tickets and ski rentals sold to two different groups. Is it possible to determine how much ea

ch lift ticket cost? Justify your answer.

1 answer:

zysi [14]2 years ago

7 0

It is possible

Group 1 : 684 divided by 36 = 19$

Group 2 : 456 divided by 24 = 19$

Therefore, both groups 1 and 2 charge $19 for each ticket

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One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of

Firlakuza [10]

The length of the hypotenuse = 7.1 inch

Step-by-step explanation:

In an isosceles right angle triangle if one leg is 5 inch, another side along the right angle is 5 in

hypotenuse = $\sqrt{side^{2} +base^{2} }$ ( by Pythagoras theorem)

= $\sqrt{5^{2}+5^{2} }$

= $\sqrt{50}$

= 7.07106781

= 7.1 inch (approx)

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2 years ago

To save for retirement, Karla Harby put $675675 each month into an ordinary annuity for 1313 years. Interest was compounded mo

IRISSAK [1]

Answer:

5.7% per year

Step-by-step explanation:

For an ordinary annuity, the final amount can be calculated by:

$A = R*(\frac{(1+\frac{r}{n})^{nt}-1 }{\frac{r}{n} } )$

Where A is the final amount, R is the value invested monthly, r is the annual interest, n is the number of months in a year, and t the time in years. So:

$155,514 = 675*(\frac{(1+\frac{r}{12} )^{156}-1}{\frac{r}{12} })$

(\frac{(1+\frac{r}{12} )^{156}-1}{\frac{r}{12} }) = 230.39

$(\frac{(1+\frac{r}{12} )^{156}-1}{r}) = 230.39/12$

(\frac{(1+\frac{r}{12} )^{156}-1}{r}) = 19.2

Solving that in a graphic calculator,

r = 0.057

r = 5.7% per year

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2 years ago

The diagram shows several planes, lines, and points. Which statement is true about line h? Line h intersects line f at two point

Dafna11 [192]

Answer:

According with the diagram and using the definitions of planes, lines, and points, the statement true about line h is:

d. Line h has points on planes R, P, and T.

Solution:

a. Line h intersects line f at point B, the the statement a. is false.

b. Line h is on plane R, but is not in the intersection of two planes. Line g is in the intersection of planes R and T,, then statement b. is false.

c. Line l intersects plane P at point C, then statement c. is false.

d. Line h has points on planes R, P, and T, then statement d. is true.

Step-by-step explanation:

4 0

2 years ago

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Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker pri

ZanzabumX [31]

Answer: Dao will pay $ 15,219.2

Step-by-step explanation:

Hi, to answer this question we have to multiply the price of the automobile by the percentage discount in decimal form (divided 100)

18,560 (18/100) = 18,560 (0.18) = $ 3,340.8 (discount amount)

Finally, we have to subtract the discount amount to the automobile's price:

18,560- 3,340.8 =$ 15,219.2

Dao will pay $ 15,219.2.

Feel free to ask for more if needed or if you did not understand something.

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2 years ago

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Find the simplified product b-5/2b x b^2+3b/b-5

White raven [17]

Answer:

The product $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}$

Step-by-step explanation:

Given expression $\frac{b-5}{2b}$ and $\frac{b^2+3b}{b-5}$

We have to find the product of $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}$

Consider the given expression $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}$

Multiply fractions, we have,

$\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}$

Cancel common factor ( b - 5 )

we have, $=\frac{b^2+3b}{2b}$

Apply exponent rule,

$\:a^{b+c}=a^ba^c$

$b^2=bb$

$=bb+3b=b(b+3)$

$=\frac{b\left(b+3\right)}{2b}$

Cancel common factor b , we have,

$=\frac{b+3}{2}$

Thus, the product $\frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}$

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2 years ago

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