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S_A_V [24]
3 years ago
11

A total of 412 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

ickets sold were three times the number of adult tickets sold. How many adult tickets were sold ?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
Approximately 137 adult tickets were sold
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Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded dail
Vinvika [58]

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if <em>P</em> principal invested for <em>t </em>years at a rate of interest <em>r</em> that compounded daily is given by:-

A=P(1+\dfrac{r}{365})^{365t}

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

8 0
3 years ago
Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
olganol [36]

Answer:

The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.

Step-by-step explanation:

Since, we are given f(x) = square root x.

The sequence of transformations which transform f(x) into g(x) is given by:

1. Reflection across y-axis i.e. f( x ) to f( -x )

2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )

3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )

4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).

The step by step graphical representation can also be viewed below.

5 0
3 years ago
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl
laiz [17]

Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :  \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

Put x_1=20,\ y_1=150,\ y_2=150  to find  x_2.

\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32

Hence, the waiting time will be 32 minutes when 240 people in line.

3 0
2 years ago
Read 2 more answers
How many dogs do I have if I give two away
Helen [10]

Answer:

Two less dogs

Your situation can be defined as x-2, where x was the number of dogs. Since the number of original dogs was not specified, two less dogs is the corrext answer

3 0
3 years ago
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 degrees Celcius at
enot [183]

Answer:

Step-by-step explanation:

Given that reading on thermometer is N (0,1)

7% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable

This implies that we have to find out the 7th percentile.

i.e. Z score = -1.475

Hence the temperature for cutoff is below -1.475 degrees.

the temperature reading corresponding to the given information.=-1.475 deg

6 0
3 years ago
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