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2 years ago

% of 6,000 = 4,500 Please help

Mathematics

1 answer:

babymother [125]2 years ago

7 0

Answer:

450

Step-by-step explanation:

Solution for What is 75 percent of 600:

75 percent * 600 =

(75:100)* 600 =

(75* 600):100 =

45000:100 = 450

Now we have: 75 percent of 600 = 450

Question: What is 75 percent of 600?

Percentage solution with steps:

Step 1: Our output value is 600.

Step 2: We represent the unknown value with $x$x.

Step 3: From step 1 above,$600=100\%$600=100%.

Step 4: Similarly, $x=75\%$x=75%.

Step 5: This results in a pair of simple equations:

$600=100\%(1)$600=100%(1).

$x=75\%(2)$x=75%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

600

100%

75%

Step 7: Again, the reciprocal of both sides gives

600=

100

Therefore, $75\%$75% of $600$600 is $450$

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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$