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DerKrebs [107]
3 years ago
10

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro

wth or decay.
f(x) = 2479 ⋅ 0.9948x
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0
Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52% 
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The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age
sasho [114]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

2x - 30 = (x+6)

Simplifying the equation

2x - (x+6) = 30

2x - x - 6 = 30

x = 36

So this is the age of youngest sister.

So, age of oldest sister will be x + 6 = 36 + 6 = 42

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)


7 0
3 years ago
A 4-L water filter is used to fill 200 mL cups and three 750 mL drink bottles How much water is left in the water filter
Ierofanga [76]

Answer:

1550 mL

Step-by-step explanation:

Total capacity of water = 4 Litre

4 L = 4 * 1000 mL = 4000 mL

200mL cups filled = 1 ; 200 mL

750mL cups filled = 3 ; 750 * 3 = 2250 mL

Total = (200 + 2250) mL = 2450 mL

Water left in filter :

(4000 - 2450) mL = 1550 mL

7 0
2 years ago
A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
Schach [20]
My best guess is a 1/225 chance in guess the right combination

5 0
3 years ago
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For 20 POINTS!! A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 8
DaniilM [7]

Answer:

Magbilang kayo

Step-by-step explanation:

Magbilang kayo

8 0
3 years ago
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Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of __ pq.
lutik1710 [3]

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

4 0
2 years ago
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