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3 years ago

Work out the value of 5^8 x 5^-2 / 5^4

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

the answer is 25

Step-by-step explanation:

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two paintings both have a current value of $15,000. The estimated value of each painting over the next five years is shown in th

gulaghasi [49]

Answer:

Step-by-step explanation:

painting a increases expoonentially

1.05(A value)= N

same for painting b by 1.02x

but a increases .3 %more

6 0

3 years ago

Read 2 more answers

Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th

trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

t = 20: 999 fishes

t = 30: 1168 fishes

(c)

$P(\infty) = 1200$

Step-by-step explanation:

Given

$P(t) =\frac{d}{1+ke^-{ct}}$

$d = 1200\\k = 11\\c=0.2$

Solving (a): Fishes at t = 0

This gives:

$P(0) =\frac{1200}{1+11*e^-{0.2*0}}$

$P(0) =\frac{1200}{1+11*e^-{0}}$

$P(0) =\frac{1200}{1+11*1}$

$P(0) =\frac{1200}{1+11}$

$P(0) =\frac{1200}{12}$

$P(0) = 100$

Solving (a): Fishes at t = 10, 20, 30

$t = 10$

$P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483$

$t = 20$

$P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999$

$t = 30$

$P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168$

Solving (c): $\lim_{t \to \infty} P(t)$

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of $e^{-ct}$ decreases

This implies that:

${t \to \infty} = {e^{-ct} \to 0}$

So:

The value of P(t) for large values is:

$P(\infty) = \frac{1200}{1 + 11 * 0}$

$P(\infty) = \frac{1200}{1 + 0}$

$P(\infty) = \frac{1200}{1}$

$P(\infty) = 1200$

5 0

3 years ago

a coin is tossed and a number cube is rolled what is the probability that the coin shows heads and the number cube shows 5

Reptile [31]

Answer:

If it is a 6 sided dice, then the probability will be roughly a 1 in 12 chance

Step-by-step explanation:

I think, not entirely sure, sorry if it is wrong

8 0

3 years ago

Kaylee invested $910 in an account paying an interest rate of 2.6% compounded

Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 2.6% into a decimal:

2.6% -> $\frac{2.6}{100}$ -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

$A=910(1+\frac{0.026}{4})^{4(10)}$

$A=1,179.21$

The account balance after 10 years will be $1,179

8 0

3 years ago

Change: 0.9 miles ____ inches

Akimi4 [234]

Formula 1 mi =in * 63,360 So 0.9*63,360= 57024 inches

4 0

3 years ago