Is (0,0)a Solution to This system?

vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the

riadik2000 [5.3K]

Answer: A = 2500 (1.035)^n

A= $ 4,974.47

Step-by-step explanation:

A=P(1+r)^n

A= Amount

P= Principal

R= rate

N= # of years

A= 2500(1.035)^n

N=20

2500(1.035)^20

A= 4,974.47

4 0

3 years ago

A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i

Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: $\frac{x}{20}+\frac{x}{12}+900= 1200$ , where x is the distance.

B. The flowerbed is 2250 feet far from the hive.

Explanation

Suppose, the distance of the flowerbed from the hive is $x$ feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, $Time=\frac{Distance}{Speed}$

So, the time taken by the bee to reach the flowerbed $= \frac{x}{20}$ seconds and the time taken to fly back to the hive $=\frac{x}{12}$ seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

$\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250$

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0

4 years ago

The perimeter of a triangle is 4x-8, one of the side is 2x-4 and another is 3x+8. Find the third side

Afina-wow [57]

Step-by-step explanation:

3grhrhrhrhfib0rn4itirig

3 0

3 years ago

A class at Middlebury school collected date on the types of movies students prefer. Complete each statement using the table.

likoan [24]

Based on the information of the table, you have:

1. The ratio is 105/150. By simplifying you get for the ratio 7/10.

2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:

165/420 = 11/28

3. The fraction of seventh graders students that prefer action movies is:

75/180 = 5/12

4. The percent of student that prefer comedy is:

105 + 150 = 255 total student that prefer comedy

420 total number of students

the fraction is:

(x/100)420 = 255

solve for x:

x = 255(100/420)

x = 60.71

the percent of students is 60.71%

5. The percent of eighth graders student who prefer action moveis is:

(x/100)240 = 90

x = 90(100/240)

x = 37.5

the percent of students is 37.5%

6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:

(x/100)180 = 75

x = 75(100/180)

x = 41.66

the percent of student is 41.66%

then, seventh grade has the greatest percent of student that prefer action movies.

4 0

1 year ago

At what point do the lines y=x-4 and 2x+y=2 intersect?

earnstyle [38]

Answer:

(2, -2)

Step-by-step explanation:

Given

y = x - 4
2x + y = 2

Solving by substitution

2x + (x - 4) = 2
3x - 4 = 2
3x = 6
x = 2

Then finding y

y = x - 4
y = 2 - 4
y = -2

Intersection point is (2, -2)

6 0

3 years ago