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anzhelika [568]
3 years ago
13

The enrollment at a high school for the year 2007 is approximately 1500. The growth of the school population can be represented

by the equation P = 1500(1.04)x where x represents the years after 2007. After how many years will the population of the school be approximately 1900?
Mathematics
2 answers:
NeX [460]3 years ago
7 0
Well if you do the math you will get 6 so your answer is 6
DerKrebs [107]3 years ago
3 0
Given equation:
P=1500 (1.04)^x
When have to find x, when population, p=1900
Put value of P=1900 in above equation.
1900=1500(1.04)^x
Divide both sides by 1500
19/15=(1.04)^x
1.27=(1.04)^x
Take natural log.
ln(1.27)= ln(1.04)^x
ln(1.27)=x ln (1.04)
Divide both sides by ln (1.04)
x=6 years

Answer: 6 years
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The linear equation y=-2x+3 has a positive slope of 2, true or false ?
Anna007 [38]

Answer:

False

Step-by-step explanation:

the slope is -2/1 AKA -2 so it is negative

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3 years ago
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A circular flower bed is 24m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in
sp2606 [1]

Answer:

163.3m²

Step-by-step explanation:

area = Pi(r²)

r = d / 2

r = 12

12² = 144

144 x 3.14 = 452.16

diameter of bigger circle = 24 + 4 (2 on each side)

28 / 2 = 14

14² = 196

196 x 3.14 = 615.44

sidewalk = bigger - smaller

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sidewalk = 163.3

4 0
2 years ago
Need help ASAP please and thank you
Stels [109]

Answer:

the answer is b d has nothing to with the situation

8 0
3 years ago
Which scenario is most likely the one shown on the graph? the total amount of money in the cash register, y, containing $50 in c
Molodets [167]

Answer:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

Step-by-step explanation:

The scenario that is most likely to be shown in the graph is:

the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

( Since, the initial calories are 50 as in the graph when x=0 the value on the y-axis is 50.

and also with each increase of the ounce i.e. the interval in the x-axis are increasing by 1-units the calories are increasing by 100 units since the points on the y-axis have a length of 100 units ).

3 0
3 years ago
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ABCD is a trapezoid with sides AB parallel to CD, where AB = 50, CD = 20. E is a point on the side AB with the property, that th
Maru [420]
AE is 35 units in length.

One of the two shapes that DE splits the trapezoid into is a triangle.  Since the two sections of the trapezoid have an equal area, this means that the area of the triangle is 1/2 of the area of the trapezoid.  Using the formulas for the area of a triangle and the area of a trapezoid we get:

1/2bh = 1/2(1/2(B+b)(h))

The base of the triangle, AE, is unknown.  We do know that AE + EB = 50; let x be EB.  That means that AE = 50-x.

B, the "big base" of the trapezoid, is 50.  b in the trapezoid, the little base, is 20.  Using all of this we now have:

1/2(50-x)h = 1/2(1/2(50+20)(h))
1/2(50-x)h = 1/2(1/2(70)h)
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Since we have multiplied by 1/2 and h on both sides, we can divide by both of them at the same time to cancel.  This will give us:
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Subtract 50 from both sides:
50-x=50 = 35-50
-x = -15
x = 15

This means that EB is 15; thus AE = 50-15 =35.
4 0
3 years ago
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