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3 years ago

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Mathematics

1 answer:

muminat3 years ago

6 0

Answer:

Step-by-step explanation:

Given that:

Batting average = 0.25 after 160 times at bat;

Batting Average = Number of hits / number of times at bat

0.25 = number of hits / 160

Number of hits = 0.25 * 160 = 40

He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average

Hence,

New average = number of hits / number of times at bat

0.333 = (number of hits + x) / (160 + x)

0.333 = (40 + x) / (160 + x)

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Answer: 1 ⁸/₂₁ litres

Step-by-step explanation:

First find a common multiple to enable you add them up:

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2 years ago

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3 years ago

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The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,900, and it can produce 120 bicycles in a d

Minchanka [31]

Answer:

c(x) = 40 (x) + $6,900

Step-by-step explanation:

According to the scenario, given data are as follows,

Total cost of 100 bicycles (x1) = $10,900

Total cost of 120 bicycles (x2) = $11,700

Let Number of bicycles = X

Than cost of X bicycles = c(X)

let, fixed cost be F and variables cost be V, than

c(X) = V(X) + F

So, we can calculate variable cost by using following method,

V = c(x2) - c(x1) ÷ ( x2 - x1)

= ( $11,700 - $10,900) ÷ ( 120 - 100)

= $800 ÷ 20

= $40

So, calculate fixed cast by putting value to equation,

$10,900 = ($40 ×100) + F

F = $10,900 - $4,000 = $6,900

So, For x number of bicycles, cost equation will be,

c(x) = 40 (x) + $6,900

4 0

3 years ago

A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If

Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.

I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0

3 years ago