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2 years ago

What fraction in the simplest from represented by each point

Mathematics

1 answer:

Finger [1]2 years ago

3 0

Point A: 8/10 = 4/5
Point B: 7/10
Point C: 6/10 = 3/5
Point D: 3/10

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Diana invested $3000 in a saving account for 3 years. she earned $450 in interest over the time period. what interest rate did s

Lelu [443]

R=i/pt
R=450/3000*3
R=0.05*100=5%

4 0

3 years ago

Read 2 more answers

Calculate the finance charge and new balance using the previous balance method.

vazorg [7]

Answer:

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2 years ago

A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca

77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

$N=N_0e^{-rt}$

N= Number of bacteria after t minutes.

$N_0$ = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

$N_0$ = 500

t=11 minutes

r=?

$N=N_0e^{-rt}$

$\therefore 200=500e^{-11r}$

$\Rightarrow e^{-11r}=\frac{200}{500}$

Taking ln both sides

$\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|$

$\Rightarrow {-11r}=ln|\frac{2}{5}|$

$\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}$

To find the time when there will be 50 bacteria remaining, we plug N=50, $N_0$ = 500 and $r}=\frac{ln|\frac{2}{5}|}{-11}$ in exponential decay equation.

$50=500e^{-\frac{ln|\frac25|}{-11}.t}$

$\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|$

$\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}$

$\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}$

$\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}$

$\Rightarrow t\approx 28$ minutes

There will be 50 bacteria remaining after 28 minutes.

3 0

3 years ago

pedro mixed 1 pound 6 ounces of apples 1 pound 4 ounces of oranges and 12 ounces of strawberries to make a fruit salad how much

Zinaida [17]

(1 lb 6 oz) + (1 lb 4 oz) + (12 oz) = 2 lb 22 oz.

16 oz = 1 lb, so the quantity (1 lb - 16 oz) evaluates to zero. This lets us rewrite the sum as (2 lb + 22 oz) +(1 lb - 16oz) =
3 lb 6 oz

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3 years ago

I need 9 and 10 plzzz!!

Alex73 [517]

Number of students N, y years

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N = 700 + 50 x 10 = 1200 (C)

Left not painted percentage = 100 - 60 = 40 %

Left = 40/100 x 45 = 18 (H)

6 0

3 years ago