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3 years ago

Please help me Will give you brainly

Mathematics

2 answers:

Ket [755]3 years ago

8 0

9514 1404 393

Answer:

a) y = -18x +200

b) 38 gallons

Step-by-step explanation:

The slope formula can be used to find the slope:

m = (y2 -y1)/(x2 -x1)

m = (110 -137)/(5 -3.5) = -27/1.5 = -18

The y-intercept can be found from ...

b = y -mx = 110 -(-18)(5) = 200

The slope-intercept equation describing the relation is ...

y = -18x +200

After 9 hours, the amount of gas remaining is ...

y = -18(9) +200 = -162 +200 = 38 . . . gallons remaining

AysviL [449]3 years ago

4 0

Answer:

jgdrgj u er gotta run if f c vbjt q r7ijhgf

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stira [4]

Answer:

The initial amount invested into the account on 1st January 2014 was £23,360

Step-by-step explanation:

In order to calculate the initial deposit in question, we will have to make use of the formula for calculating compound interest:

Fv = Pv × (1 + r)^t ------ since it was compounded annually.

Where Fv = future value

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r = interest rate

t = time (years)

Here, r = 2.5% or 0.025

t = 1 year

Let x represent this initial deposit. Then at the end of the year(31st Dec 2014), we will have:

Fv = x × (1 + 0.025)^1

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Therefore, the amount that will be in the account as at 31st Dec 2014 is = £1.025x.

Now, if the owner of the account then withdraws a sum of £1,000 from the account on the 1st of Jan 2015, then the balance that will be in the account after the withdrawal will be = £1.025x - 1000. This will now be the principal or present value that will accrue interest for the year - 2015.

Again, we were told that that the future value or the balance on the 1st of Jan 2016 will be £23,517. We will then once again use the compound interest formula, making the present value (1.025x - 1000) the subject of the formula so that we can solve for x. Once "x" is determined, then we have exposed the initial deposit that was made into the account on the 1st of January 2014.

Fv = Pv × (1 + r)^t

Here,

Fv = 23,517

Pv = 1.025x - 1000

r = 0.025

t = 1

23,517 = 1.025x - 1000 × (1 + 0.025)^1

23,517 = 1.025x -1000 × (1.025)

23,517 = 1.050625x - 1025

1.050625x = 23,517 + 1025

1.050625x = 24,542

Then making "x" the subject of the formula:

x = 24,542/1.050625

x = £23,360

Therefore, the initial deposit that Carole made into the account on 1st January 2014 was £23,360

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3 years ago

A study found that 1% of Social Security recipients are too young to vote. If 800 social security recipients are randomly select

GalinKa [24]

Answer:

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Step-by-step explanation:

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Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$