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Lina20 [59]
3 years ago
15

the cost of a ticket t to a concert with a 3% sales tax can be represented by the expression t+0.03t. simplify the expression. t

hen determine the total cost after sales tax if the original price was $72.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
72.00 x 3% = 2.16
72.00 + 2.16 = 74.16 total
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The notation __1____ reads the probability of Event B given that Event A has occurred. If Events A and B are independent, then t
telo118 [61]

P(B|A) (option B)

Doesn't affect (option A)

P(B|A) = P(B) (option A)

Explanation:

1) Conditional probabilities could be in the form P(A|B) or P(B|A)

P(B|A) is a notation that reads the probability of event B given that event A has occurred.

P(B|A) (option B)

2) Independent events do not affect the outcome of each other

For event A and B to be independent, the probability of event A occurring doesn't affect the the probability of event B occurring

Doesn't affect (option A)

3) Events A and B are independent if the following are satisfied:

P(A|B) = P(A)

P(B|A) = P(B)

The ones that appeared in the option is P(B|A) = P(B) (option A)

3 0
1 year ago
Write the ratio of the first measurement to the second measurement. Compare in inches.
GarryVolchara [31]

Answer:

60 in:9 in   20 in:3 in    6.6666667

Step-by-step explanation:

5 ft needs to be in inches, so multiply by 12 (inches per foot) ten you can compare.

8 0
4 years ago
Read 2 more answers
calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

#SPJ1

6 0
2 years ago
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
4 years ago
How do you solve m/9 divided by mn squared / 3
ivolga24 [154]
\frac{m}{9}:\frac{mn^2}{3} =\frac{m}{9} \cdot \frac{3}{mn^2} =\frac{1}{3n^2}


3 0
3 years ago
Read 2 more answers
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