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3 years ago

Which function has a simplified base of 4?f(x) = 2f(x) = 2f(x) = 4f(x) = 4

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

Step-by-step explanation:

I just finished this exam review and it should be f(x)=4(^3sqrt16)^2x

Hope this helps you out!

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A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi

inessss [21]

Answer:

$\frac{1429}{120}$ or $11\frac{109}{120}$

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

Remaining peaches = 4

We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7$

Let x be the former gives the total number of peaches

We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.

$x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)$

$x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)$

$x = \frac{1}{120}(40+30+24+15+840)$

$x = \frac{1}{120}(949)$

$x = \frac{949}{120}$

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = $\frac{949}{120}+4$

Original number of peaches = $\frac{949+4\times 120}{120}$

Original number of peaches = $\frac{949+480}{120}$

Original number of peaches = $\frac{1429}{120}$

Original number of peaches = $11\frac{109}{120}$

Therefore the original number of peaches in the basket is $\frac{1429}{120}$ or $11\frac{109}{120}$

5 0

3 years ago

How to solve 2x2+50=100

Ugo [173]

Answer:

It would be 54.

Step-by-step explanation:

It would be 2 times 2, which is four, and then you would add by 50.

2 x 2 = 4

4 + 50 = 54

So, it will not be 100, it will be 54.

4 0

3 years ago

Read 2 more answers

John commutes each day to work either by train or by bus. The bus pass costs 10$ plus 2$ per trip. The train costs 15$ plus 1.50

babunello [35]

Answer:

Step-by-step explanation:

i plugged in each of the numbers to the equation

at 9 trips the bus costs 28 and train cost 25.5

5 0

3 years ago

Find the ratio in simplest form. 2/3to3/2 9/4 1 4/9

romanna [79]

4/9 is the simplest ratio......

4 0

3 years ago

Read 2 more answers

Terri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri’s acco

melomori [17]

Answer:

53.51 years

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = $5000

PV = Present Value = $1500

n = Interest Rate = 2.25%

x = time in years = ?

e = mathematical constant = 2.7183

So,

5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾

50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾

㏑ (3.3333) = 0.0225x ㏑ (2.7183)

1.2040 = 0.0225x

x = 53.51 year

So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.

7 0

3 years ago