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2 years ago

5900 = 5400(1 + r/100)^3

Mathematics

2 answers:

kykrilka [37]2 years ago

7 0

Answer:

$r = \frac{50}{3} (2^{2/3} \sqrt[3]{59} - 6)$

Hope its help

MrMuchimi2 years ago

3 0

Answer:

"decreasing at a constant rate" suggests linear relationship.

Your description for year 2013 said, "dropped 5400". That means, the population in year 2013 was 5700-5400=300. Description did not say "dropped TO 5400".

According to the description as posted,

points (x,y) for x being year past 2010 and y being population

(0, 5700) and (13, 300).

Equation for the line:

y=%28%28300-5700%29%2F%2813%29%29x%2B5700

highlight%28y=-%285400%2F13%29x%2B5700%29

which is probably not the actual equation you want, but the method should be clear and you can fix the possible mistake in your description, and find the actual equation for your corrected description.

Step-by-step explanation:

You might be interested in

A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

Solve linear equation -1/5(x-4)=-2

grigory [225]

Answer:

x= 15

Step-by-step explanation:

i worked it out its corect

3 0

3 years ago

Help please! I’ll give brainliest.

Lapatulllka [165]

9514 1404 393

Answer:

(a) not proportional

(b) k = 7/8

Step-by-step explanation:

When a linear equation is of the form ...

y = mx + b

with b ≠ 0, the relation is NOT PROPORTIONAL.

If b=0, so the equation is of the form ...

y = kx

then the relation IS PROPORTIONAL. The constant of proportionality is k.

(a) Not proportional

(b) Proportional with k = 7/8

8 0

3 years ago

Some friends shared 2 bags of chips. If each person got 2/3 of a bag of chips, how many friends were there?

quester [9]

Answer:

1 1/3

Step-by-step explanation:

5 0

3 years ago

(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Andreas93 [3]

Answer:

- 3a³ + 5a² - 3a + 7

Step-by-step explanation:

Given

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

Distribute both parenthesis noting the second is distributed by - 1

= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms

= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)

= - 3a³ + 5a² - 3a + 7

3 0

3 years ago