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Novosadov [1.4K]
3 years ago
8

In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win

the set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
a. s ≤ 6g
b. s ≥ 6g
c. 6s ≤ g
d. 6s ≥ g
Mathematics
2 answers:
natita [175]3 years ago
5 0

Answer:

i dont really know

Step-by-step explanation:

i am doing this for the point things

Bess [88]3 years ago
4 0

Answer:

A: s ≤ 6g

Step-by-step explanation:

Had this on a test that I scored 100 on.

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Step 0 : 1 circle
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Step 2 : 16 circles
Step 3:  64 circles

Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is f(x) = 4^x.
8 0
4 years ago
If $450 is invested at 6% compounded A (annually), B (quarterly), C (monthly), what is the amount after 7 years? How much intere
ss7ja [257]

Answer:

Step-by-step explanation:

Here's the gameplan for this.  First of all we need a general formula, then we will define the variables for each.

The general formula for all of these is the same:

A(t)=P(1+\frac{r}{n})^{nt}

where A(t) is the amount after the compounding, P is the initial investment, n is the number of compoundings per year, r is the interest rate in decimal form, and t is time in years.  

Then after we find the amount after the compounding, we will subtract the initial amount from that, because the amount at the end of the compounding is greater than the initial amount.  It's greater because it represents the initial amount PLUS the interest earned.  The difference between the initial amount and the amount at the end is the interest earned.

For A:

A(t) = ?

P = 450

n = 1

r = .06

t = 7

A(t)=450(1+\frac{.06}{1})^{(1)(7)}

Simplifying gives us

A(t)=450(1.06)^7

Raise 1.06 to the 7th power and then multiply in the 450 to get that

A(t) = 676.63 and

I = 676.63 - 450

I = 226.63

For B:

A(t) = ?

P = 450

n = 4 (there are 4 quarters in a year)

r = .06

t = 7

A(t)=450(1+\frac{.06}{4})^{(4)(7)}

Simplifying inside the parenthesis and multiplying the exponents together gives us

A(t)=450(1.015)^{28}

Raising 1.015 to the 28th power and then multiplying in the 450 gives us that

A(t) = 682.45

I = 682.45 - 450

I = 232.75

For C:

A(t) = ?

P = 450

n = 12 (there are 12 months in a year)

r = .06

t = 7

A(t)=450(1+\frac{.06}{12})^{(12)(7)}

Simplifying the parenthesis and the exponents:

A(t)=450(1+.005)^{84}

Adding inside the parenthesis and raising to the 84th power and multiplying in 450 gives you that

A(t) = 684.17

I = 684.17 - 450

I = 234.17

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it's only the answer according to the question .

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Step-by-step explanation:

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One of the sides of a parallelogram is 4.2 cm and the altitude to that side is 3.6 cm. Find the perimeter of the parallelogram i
adelina 88 [10]
The product of side length and altitude is area. The area remains the same regardless of how you measure it.

From the first side and altitude,
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From the second side and altitude
.. area = side*altitude
.. 15.12 cm^2 = side*(2.4 cm)
.. side = (15.12 cm^2)/(2.4 cm) = 6.3 cm

The perimeter is the sum of the measures of all sides. Opposite sides are of equal measure.
.. perimeter = 2*(4.2 cm +6.3 cm) = 21.0 cm
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