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lilavasa [31]
2 years ago
13

Community Gym charges a $60 membership fee and a $70 monthly fee. Workout Gym charges a $170 membership fee and a $60 monthly fe

e. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:

11 months, $830

Step-by-step explanation:

60 + 70x = 170 + 60x

70x + 60x = 170 - 60

10x = 110

x = 11

60 + 70x = 60 + 70 \times 11

\:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   = 60 + 770

\:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{\green{= 830}}

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Step-by-step explanation:

1430 :100×35= 500.5$

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What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5
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B is the answer for this
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3 years ago
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PLEASE HELP
Usimov [2.4K]

Answer:

r\approx0.03\text{ or about $3\%$}

Step-by-step explanation:

The standard compound interest formula is given by:

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

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.

Since we are compounding annually, n=1. Therefore:

\displaystyle  A = P (1+r)^{t}

Lester wants to invest $10,000. So, P=10,000.

He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.

And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

11000=10000(1+r)^{3.3}

Let’s solve for our rate r.

Divide both sides by 10000:

1.1=(1+r)^{3.3}

We can raise both sides to 1/3.3. So:

\displaystyle (1.1)^\frac{1}{3.3}=((1+r)^{3.3})^\frac{1}{3.3}

The right side will cancel:

\displaystyle r+1=(1.1)^\frac{1}{3.3}

So:

\displaystyle r=(1.1)^\frac{1}{3.3}-1

Use a calculator:

r\approx0.03

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.

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Answer:

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Answer:

B. The observational study is a cross-sectional study because information is collected at a specific point in time.

Step-by-step explanation:

1) There are three types of Observational Studies: Case-control, cross-sectional and Cohort.

2) Since the researchers collected information from those 1800 adults at a certain time, then we can call it a cross-sectional study. It does not provide solid results since the research was not done over a period to collect further information. We don't know, for example, much more than what that association deeply mean.

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