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4 years ago

Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?

2 answers:

8 0

(1/6) / (1/12) = 1/x....1/6 pg to 1/12 min = 1 pg to x min
cross multiply
(1/6)(x) = (1/12)(1)
1/6x = 1/12.....multiply by 6, cancelling out the 1/6 on the left side
x = 1/12 * 6
x = 6/12 reduces to 1/2 min <===

agasfer [191]4 years ago

7 0

I think its 7 hours and a half (30 minutes)

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

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3 years ago

If f(×)=1/3×^2+5find f(-9)

Snezhnost [94]

Answer:

I think this is the answer

$f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041$

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3 years ago

Layla has $2 worth of dimes and quarters. She has 6 more dimes than quarters. By

fredd [130]

Answer:

Layla has 4 quarters and 10 dimes

Step-by-step explanation:

A quarter each is 25 cents. And a dime each is 10 cents. counts from 10 10 times and then add 25 4 times and you get 200 which is 2 dollars. Example: 10 20 30 40 50 60 70 80 90 100 with 10 dimes alone that's a dollar 4 quarters equal another dollar so both of those equal 2 dollars. Layla had 4 dimes and 4 quarters when she added 6 more dimes it all equaled 2 dollars. Hopefully this makes sense.

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3 years ago

A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantit

solong [7]

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

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3 years ago

Find a quadratic function with the given x-values as the only two REAL zeros. x=-2 and x=8. Please show work! Will mark Brainlie

posledela

f(x) = (x- zero) * (x -zero)

f(x) = (x--2) (x-8)

f(x) = (x+2) (x-8)

if you need it multiplied out

f(x) = x^2 +2x -8x-16

f(x) = x^2 -6x-16

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3 years ago