7275 in scientific notation

There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on

zavuch27 [327]

Answer:

The answer to your question is there were 88 children

Step-by-step explanation:

Data

Total number of people = 188

total cost = $5040

12 more adults than seniors

number of children = ?

adults = a

children = c

Process

1.- Write equations that help to solve this problem

a + c = 188 Equation l

a = c + 12 Equation ll

2.- Solve by substitution. Substitute equation equation ll in equation l

(c + 12) + c = 188

-Solve for c

c + 12 + c = 188

2c + 12 = 188

2c = 188 - 12

2c = 176

c = 176 / 2

c = 88

3.- Conclusion

There were 88 children

5 0

3 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$

$r = 0.077$

There are 52 weeks in a year, so $n = 52$

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

$2P = P(1 + \frac{0.077}{52})^{52t}$

$2 = (1.0015)^{52t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2$

$52t = 462.44$

$t = \frac{462.44}{52}$

$t = 8.89$

The exact answer is that the doubling time is 8.89 years.

6 0

3 years ago

The mean weight 20 students in a room is 65 kg one student one student who weight is 88kg went into the room what is the new mea

umka2103 [35]

The new mean is 66.09

<u>Explanation:</u>

Mean weight of 20 students = 65kg

One student with 88kg entered the room.

New mean = ?

$\frac{x_1+x_2+....+x_2_0}{20} = 65$

$\frac{x_1+x_2+....+x_2_0 + 88}{21} = ?$

The above equation can further be written as:

$x_1 + x_2 +....+x_2_0 = 65 X 20\\\\x_1 + x_2 +....+x_2_0 = 1300$

New mean = $\frac{1300 + 88}{21}$

= 66.09

Therefore, the new mean is 66.09

6 0

2 years ago

HI! Help me please! HOMEWORKKKK UGHHH

avanturin [10]

Answer:

J

Step-by-step explanation:

if you multiply any number by a number lower than 1, then the value lowers. J is the only thing that has both numbers greater than one

6 0

2 years ago

Read 2 more answers

In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

$\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}$

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

$j = \sqrt{99.45}$

j = 9.97

∴

$\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}$

${9.97 \times Sin (L ) = (2.7 \times Sin \ 43)$

$= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0$

3 0

2 years ago