As a bowling instructor, you figure your students' averages during tournaments. In 5 games, one bowler had the following scores: 143, 156, 172,133, and 167. What was that bowler's average?

Answers

Answer 1
Answer: 143+156+172+133+167 = 771

771/5 = 154.2

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Name the property of -4x-1/4=1

Answers

point slope formula is what to believe

Final answer:

The property of this equation is the distributive property of multiplication over addition or subtraction.

Explanation:

The property of the equation -4x - 1/4 = 1 is called the distributive property of multiplication over addition or subtraction. Using this property, we can distribute the coefficient -4 to both terms inside the parenthesis. This gives us -4x - 4(1/4) = 1. Simplifying further, we have -4x - 1 = 1. To isolate the variable x, we can add 1 to both sides, which gives us -4x = 2. Finally, dividing both sides by -4, we find that x = -0.5.

Learn more about Distributive property here:

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True or False:8. V 40 has an infinite non-repeating decimal expansion.
9. The number 0.56 is a rational number
10. 200 and 500 are integers.
11. All numbers with infinite decimal expansions are irrational.
12.
the numbers -8, -3, 5, 17 are all whole numbers.

Answers

Answer:

Below.

Step-by-step explanation:

8.  True ( all numbers of the form √n where n is not a perfect square have this property)

9.  True  ( we can write it as 56/100 or 14/25).

10. True.

11.   False. ( 1/3 is rational and its decimal form is 0.333............. )

12.  False. ( negative numbers are not whole numbers).

A bakery has 72 half-gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup=1/8 half- gallon. How many cakes can the bakery make?

Answers

Answer:

345

Step-by-step explanation:

To find out how many cakes the bakery can make, you'll need to convert the amount of milk they have into cups and then divide by the amount of milk needed to make one cake.

First, let's convert the 72 half-gallons of milk into cups:

1 half-gallon = 8 cups (since 1 cup is 1/8 of a half-gallon)

So, 72 half-gallons = 72 x 8 cups = 576 cups of milk.

Now, you mentioned that it takes 1 2/3 cups of milk to make a cake.

Let's convert this mixed number into an improper fraction: 1 2/3 = (3 x 1 + 2)/3 = 5/3 cups of milk for one cake.

Now, we can find out how many cakes the bakery can make by dividing the total cups of milk by the amount needed for one cake: 576 cups of milk ÷ (5/3) cups per cake = 576 cups ÷ (5/3) ≈ 345.6 cakes.

Since you can't make a fraction of a cake, the bakery can make approximately 345 cakes with the milk they have.

Whats the answer for 4(3) x 3

Answers

It is 12×3 = 36

4(3) = 12 and multiply with three i.e. 12×3=36

1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded intrest. How much will he have after 20 years?a) $6002.82
b) $25164.10
c) $37507.81
d) $556342.35

2. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 5 years.
a) $3766.54
b) $3211.99
c) $3980.50
d) $4560.60

3. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 50 years.
a) $21,526.87
b) $22,998.70
c) $20,450.10
d) $24,548.33

4. Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an equation modeling the inverse variation between the stock and bond prices to predit the price of stock Texas when bound austin is worth the following: $68.74
a) $59.33
b) $48.115
c) $57.75
d) $52.20

5. What will be your total investment from an annuity of $500 per year compounded continuously earning 8% for 6 years?

Answers

1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate 
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50

The steps below show the incomplete solution to find the value of y for the equation 4y − 2y − 4 = −1 + 13:Step 1: 4y − 2y − 4 = −1 + 13
Step 2: 4y − 2y − 4 = 12
Step 3: 2y − 4 = 12

Which of these is most likely the next step?

2y = 3
2y = 8
2y = 16
2y = 18

Answers

The next step would be:


2y - 16

Answer:

2y=16 Or the Third Option

Step-by-step explanation:

Trust me because i just got done doing my test and i got the question correctly.