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Vlad [161]
3 years ago
11

currently 96 members participate in the morning workout and this # has been increasing by 2 ppl per week. currently 80 ppl parti

cipate in the afternoon workout and this # has been increasing by 3 ppl per week. in how many week will the # of ppl working out in the morning be double the # of ppl working out in the afternoon?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
Let x be the number of weeks from now of working out. The number of people working out in the morning after x weeks is 96 + 2x. The number of people working out in the afternoon after x weeks is 80 + 3x. The equation that represents the given is,
                                      96 + 2x = (80 + 3x)(2)
The value of x is equal to -16 which does not make sense. 
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Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

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

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

So, <em>the principal must be = $8991.88</em>

4 0
3 years ago
Please help me i forgot how to do this
ICE Princess25 [194]
Basically, unit rates are special ratios with two different terms with two different units. 

1. 3 inches of rain in 6 hours
Answer: 3 inches:6 hours

2. 70 miles in 2 hours
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It's easy!
5 0
3 years ago
Krutika and Gavin have played 41 tennis matches.
Neko [114]

Answer:

P(Kritika)= 27/41

P(Gavin)=1-(27/41)

= (41-27)/41

=14/41

5 0
3 years ago
If there are 6 serving in a 2/3 pound lb package of pound is in each serving
Serhud [2]

Answer:

\boxed{\math{\frac{1}{9}\text{ lb}}}

Step-by-step explanation:

\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}

\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}

3 0
3 years ago
Which list shows all the factors of 28?
yarga [219]
B. is your answer. :)
8 0
3 years ago
Read 2 more answers
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