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3 years ago

CEL

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

y = 2x

Step-by-step explanation:

There is a proportional relation between the number of pairs of socks that Jason buys,x, and the total cost (in dollars), y.

Let us assume that the relation is y = kx ..... (1)

{Where k can be assumed to be the constant of proportionality}

Now, given that Jason can buy 2 pairs of socks for $4.

So, from equation (1), we can write 4 = 2k, ⇒ k = 2

Therefore, the equation (1) becomes y = 2x. (Answer)

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The height of a lighthouse in Pensacola, Florida, is 150 feet. Standing next to the statue, Natalie casts a 1.1-foot shadow. She

iogann1982 [59]

30 feet

Step-by-step explanation:

Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;

1.1 : 5.5

The two are related by a factor of 1/5

We can use this factor to establish the shadow cast by the penthouse;

1/5 * 150

= 30

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3 years ago

PLEASE HELP ME!!

Gnesinka [82]

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3 years ago

Write an expression that represents the sum of x and 8

krok68 [10]

Answer:

$x+8$

Step-by-step explanation:

we know that

The phrase " the sum of x and 8" is equivalent to adds the number x and the number 8 or sum the number x plus the number 8

$x+8$

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3 years ago

8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout

Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is $P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}$ , where

1. $P_{t}$ is the balance in the account after t years

2. d is the regular deposit (the amount you deposit each year or month

or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ $P_{t}$ = $500,000

∵ he sets up a payout annuity for 30 years in an account paying 10%

interest

∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity could provide each month

∴ n = 12

Substitute the values above in the formula

∴ $500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}$

∴ $500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}$

∴ 500,000 = d [2260.487925]

- Divide both sides by 2260.487925

∴ d = $221.19

The annuity could provide $221.19 each month

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3 years ago

The ratio of green food coloring to blue food coloring is 1:2. If we use 6 drops of blue, how many drops of green will we need?

labwork [276]

1:2 means for every 1 drop of green there was 2 blue

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3 drops of green

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3 years ago