Mathematics, 07.09.2020 05:01 savyblue1724707

A cruise ship coasts down from 30 m/s to 0 m/s in 8 minutes. What is the acceleration

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Answer from: Quest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

$\text{simple interest} = \frac{principal\times rate\times time}{100} \\\\\text{simple interest} = \frac{1000\times 4\times 10}{100}=\$400\\\\amount = principal + interest\\amount = 1000 + 400 = \$1400$

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

Answer from: Quest

b, 20 yards

step-by-step explanation:

Answer from: Quest

the answer is $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.

Answer from: Quest

answer-

the equation that models this pattern is $y=32000(0.5)^x$

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

$y=a(1 - r)^x$

where,

a = starting amount = 32000r = rate = 50% = 0.5 as the sample becomes halved in each hour x = hours

putting the values,

$\rightarrow y=32000(1 - 0.5)^x$

$\rightarrow y=32000(0.5)^x$

y-intercept means, where x=0, so

$\rightarrow y=32000(0.5)^0\\\\\rightarrow y=32000\times 1=32000$

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

$\rightarrow y=32000(0.5)^3$

$\rightarrow y=32000\times 0.125$

$\rightarrow y=4000$

the coordinate of this point will be (3, 4000)

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A cruise ship coasts down from 30 m/s to 0 m/s in 8 minutes. What is the acceleration...

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