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Tasya [4]
3 years ago
13

The growth rate of a tree compounds continuously at a rate of .25%. If the mass of the tree is now 200lbs, what will be the mass

after 10 years?
Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

205

Step-by-step explanation:

x/200 = .25/100

cross multiply

100x=50

Simplify

x=.5

Multiply by 10

5

Add to the original mass

200+5=205

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An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l
bagirrra123 [75]

Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

6 0
3 years ago
The price of an item has risen to $120 today. Yesterday it was $40. Find the percentage increase.
Snezhnost [94]

Answer:

200%

Step-by-step explanation:

If $40 is 100% then multiply it by 3 to get $120

7 0
2 years ago
Read 2 more answers
The perimeter of a parallelogram is 72 inches, and
borishaifa [10]
The answer is C Since its a parallelogram, the opposite side is also 12. 12+12=24, 72-24=48, 48/2=24 which is the other 2 sides
3 0
3 years ago
Read 2 more answers
Identify the graph of f(x)=4^x
Wittaler [7]

Answer:

the first one

Step-by-step explanation:

The correct one is the one in the top left corner.


A great website to find out things like this is

https://www.mathpapa.com/algebra-calculator.html


5 0
3 years ago
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
elena55 [62]

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

4 0
3 years ago
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