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pishuonlain [190]
3 years ago
8

DOPO

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

$144,843.5

Step-by-step explanation:

In this problem we are going to apply the compound interest formula

A= P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

t = number of time periods elapsed

Given data

P= $27,000

R= 7.25%= 7.25/100= 0.0725

T= 24

A=27000(1+0.0725)^24

A= 27000(1.0725)^24

A= 27000*5.364

A= $144,843.5

In 24 years her account balance will be $144,843.5

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Suppose the price p, in dollars, and number of sales, x, of an item is related by 5 8 6 50 p x px + + = . If p and x are functio
Natali5045456 [20]

Answer:

According to the information of the problem  x = 15 , p=2.90 and dp/dt = -1.15

then   \frac{dx}{dt} = -3.357\\

Step-by-step explanation:

Since everything is changing with respect to time and p,x are related according to the following equation

5p+5x+3px = 71

We need to find the implicit derivative with respect to the time. And we get the following.

5\frac{dp}{dt}+5\frac{dx}{dt}+3x\frac{dp}{dt}+3p\frac{dx}{dt} = 0

\frac{dx}{dt} is what we don't know, so we solve for it and get

\frac{dx}{dt} = - (5\frac{dp}{dt}-3x\frac{dp}{dt})/  (5+3p)

Now. According to the information of the problem  x = 15 , p=2.90 and dp/dt = -1.15

then   \frac{dx}{dt} = -3.357\\

7 0
3 years ago
4 percent of all cars produced on a Monday are deficient, while 3 percent of Friday's production is deficient; on all other days
neonofarm [45]

Answer:

Let the total numbers of cars be ten then the total cars produced in one week would be 50

Probability of deficient cars on Monday = 4/10

Probability of deficient cars on Tuesday =1/10

Probability of deficient cars on Wednesday = 1/10

Probability of deficient cars on Thursday = 1/10

Probability of deficient cars on Friday = 3/10

Probability ( deficient car)= 10/50 or 1/5

Probability that it produced on Monday 4/10*1/5= 4/50= 2/25= 8/100= 0.08 or 8%

Probability of deficient cars on Monday = 4/10* 12/100= 48/1000= 0.048or 4.8%

Probability of deficient cars on Tuesday =1/10 *22/100= 22/1000= 0.022 or 2.2%

Probability of deficient cars on Wednesday = 1/10*22/100=22/1000= 0.022 or 2.2%

Probability of deficient cars on Thursday = 1/10*22/100=22/1000= 0.022 or 2.2%

Probability of deficient cars on Friday = 3/10*22/100= 66/1000= 0.066 or 6.6%

8 0
3 years ago
An average washing machine uses approximately 32 gallons of water per load and an average dishwasher 42 quarts. Express the diff
Zolol [24]

Answer:

86

Step-by-step explanation:

32×4=128

128-42=86

6 0
3 years ago
Coom
MatroZZZ [7]

Answer:

You have the formula wrong.

The volume of a cylinder = PI * radius^2 * height

To find the height, the formula is:

height = volume / (PI*radius^2)

I'm assuming the radius = .6 meters so

height = 720 / (3.14159265 * .6^2)

height = 720 / 1.130973354

height = 636.61977 meters

Tp check your answer use this calculator: https://www.1728.org/diam.htm

Step-by-step explanation:

7 0
3 years ago
Simplify (19x2 + 16x + 45) - (9x2 + 13x + 23).
Yuri [45]
19x2-9x2= 10x2
16x-13x= 3x
45-23= 22

(10x2+3x+22)

8 0
3 years ago
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