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Ratling [72]
3 years ago
15

A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym members

hip for 6 months.​
Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

So we know that a gym membership costs $25 plus $14 each month.

In other words, the one-time cost is $25 and there will be a cost of $14 each month.

We can write this as:

f(x)=14x+25

Where f(x) equals the total cost given the number of months x.

For 6 months, the total cost will be:

f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109

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A random sample of 300 Americans planning long summer vacations in 2009 revealed an average planned expenditure of $1,076. The e
Rufina [12.5K]

Answer:

(1024.69,\ 1127.31)

Step-by-step explanation:

We know that the sample size was:

n = 300

The average was:

{\displaystyle {\overline {x}}}=1,076

The standard deviation was:

\s = 345

The confidence level is

1-\alpha = 0.99

\alpha=1-0.99\\\alpha=0.01

The confidence interval for the mean is:

{\displaystyle{\overline {x}}} \± Z_{\frac{\alpha}{2}}*\frac{s}{\sqrt{n}}

Looking at the normal table we have to

Z_{\frac{\alpha}{2}}=Z_{\frac{0.01}{2}}=Z_{0.005}=2.576

Therefore the confidence interval for the mean is:

1,076\± 2.576*\frac{345}{\sqrt{300}}

1,076\± 51.31

(1024.69,\ 1127.31)

This means that <em>the mean planned spending of all Americans who take long summer vacations in 2009 is between $ 1024.69 and $ 1127.31</em>

3 0
3 years ago
Help please, try to explain it in steps for me if u can't that's fine, ty!
Iteru [2.4K]

Answer:

B

Step-by-step explanation:

We are given that Expression One is:

2\cdot 10^x

And Expression Two is:

4\cdot 10^{x+y}

We are given that the value of Expression Two is 20,000 times greater than the value of Expression One. And we want to find the value of <em>y.</em> In other words:

4\cdot 10^{x+y}=20000(2\cdot 10^x)

We can divide both sides by four:

10^{x+y}=10000\cdot 10^x

Recall that:

x^a\cdot x^b=x^{a+b}

Therefore:

10^x\cdot 10^y=10000\cdot 10^x

Divide both sides by 10ˣ:

10^y=10000

Solve for <em>y: </em>

<em />\displaystyle y = \log_{10}10000 = 4<em />

Our answer is B.

3 0
2 years ago
2.5% of what number is 1.5?
harina [27]

Answer:

60

Step-by-step explanation:

1.5 is 2.5% of 60

7 0
3 years ago
Read 2 more answers
If possible please help! With 12
madreJ [45]

Answer:

b

Step-by-step explanation:

y = 1y

1y+0.4y =1.4y

6 0
2 years ago
Read 2 more answers
The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t
Kamila [148]

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

<u><em>The height of the football after 4 seconds is 80 feet.</em></u>

8 0
3 years ago
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