Ask question

Ask question

All categories

2 years ago

10

In a writing competition, the first place winner receives 1/2 of the prize money. The second runner up receives 1/4 of what the

winner won. What was the total amount of prize money distributed if the winner receives $8000

1 answer:

worty [1.4K]2 years ago

6 0

Answer:

10,000 is the total amount of.money that was distributed

You might be interested in

A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka uses some of the broth to cook and now t

Maurinko [17]

we have chicken broth in cylindrical can.

we have given the height radius of cylindrical can.

h=10cm r=10 cm .

and she have 6cm broth height in the tin that means she had used 4 cm of height of broth .

now we need to find volume of two cylinder with h=10 cm and 6cm

and we need to find the difference between the volumes .

volume1= $\pi *r*h_{1} =\pi *(10)^2*10=3.14*1000=3140 cm^3$

volume 2= $\pi *(10)^2*6=1884cm^3$

volume used =volume 1-volume2=3140-1884=1256cm^3 is used

8 0

2 years ago

Read 2 more answers

A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i

Gnesinka [82]

Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

$\mu \pm z_{critical}(\text{Standard error})$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$2.98 \pm 1.96(0.10) = 2.98 \pm 0.196 = (2.784,3.176)$

5 0

2 years ago

thomas want to save money for a vacation. Thomas invest $1,300 in account that pays an interest rate of 6.25% how many years wil

Harrizon [31]

Answer:

44.2 years

Step-by-step explanation:

If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...

19000 = 1300·1.0625^n

Dividing by 1300 and taking logs, we have ...

log(19000/1300) = n·log(1.0625)

log(190/13)/log(1.0625) = n ≈ 44.24 . . . . years

It will take about 44.2 years for the account to reach $19,000.

5 0

3 years ago

Read 2 more answers

An amusement park opens daily at 9:30 a.m. This morning the parking lot for the amusement park opened at 8:00 a.m. At 9:00 a.m.,

Eddi Din [679]

Answer:

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this $P_0$

$P_{0}=132$

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

$P_{1}=132*3=396$

the next half an hour, at 10:00 am, the number of cars trippled, this is:

$P_{2}=132*3*3=1188$

and finaly, at 10:30am, the number of cars trippled again, so:

$P_{3}=132*3*3*3=3564$

We can now see a pattern there which can be simplified as:

$P(n)=P_{0}(3)^{n}$

or

$P(n)=132(3)^{n}$

where:

$P_{0}=$ initial number of cars

n=number of half hours after 9:00 a.m

$P_{n}=$ number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

4 0

2 years ago

Read 2 more answers

How to solve -27/x^15

kompoz [17]

Answer:

$\frac{-27}{x^{15}}=-\frac{27}{x^{15}}$

Step-by-step explanation:

<em>If you just want to simplify -27/x^15, it is not very difficult. Here is the simple way.</em>

<em />

Given the expression

$\frac{-27}{x^{15}}$

solving

$\frac{-27}{x^{15}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=-\frac{27}{x^{15}}$

Therefore,

$\frac{-27}{x^{15}}=-\frac{27}{x^{15}}$

8 0

3 years ago