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borishaifa [10]
4 years ago
7

A town predicts that its population will double in e ^ In 10/ 2 In e years.

Mathematics
2 answers:
Sophie [7]4 years ago
6 0

\dfrac{e^{\ln 10}}{2\ln e}=\dfrac{10}{2}=5

jek_recluse [69]4 years ago
4 0

Answer: 5 years

Step-by-step explanation:

Given : A town predicts that its population will double in \dfrac{e^{\ln10}}{2\ln_e} years.

We know that e^{\ln x}= x

and the natural log of e = \ln_e=1

Then , the expression  \dfrac{e^{\ln10}}{2\ln_e} will becomes

\dfrac{10}{2}=5

Hence, The population of the town will be double in 5 years.

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3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be u
Anarel [89]

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)

\Rightarrow  35\times 900 = 46x + 12\times 900 - 12 x

\Rightarrow 34x= 900(35-12)

\Rightarrow x = (900\times 23)/34

\Rightarrow x = 608.82 lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

5 0
3 years ago
Can someone Help me with this ? :C and put in the Workings
Sedbober [7]

Answer:  1. 456\div2 =228 2. 538\div7=76.85

Step-by-step explanation:

The given division problems :

1.\ 456\div2

2.\ 538\div7

By long division (see the attachment)

1. Divisor= 2

Dividend =456

Quotient = 228

Remainder =0

So, 456\div2 =228

2. Divisor= 7

Dividend = 538

Quotient =76.85

so, 538\div7=76.85

6 0
3 years ago
12/15,3/4,3/12 as a decimal/ how to get the answer
Darya [45]
Your answer is C I’m sure about that!
6 0
4 years ago
Please help asap 25 pts + brainliest to right/best answer
MakcuM [25]

Answer:

C is the answer.

Step-by-step explanation:

We know that the quadratic equations has to have the x² sign in the equation, so this is a quadratic term. 6x² is the quadratic term because of the x². That means the answer cannot be the second or last choice. The equation doesn't contain the value -12x², so the first answer choice cannot be right. This leaves the third answer choice.

4 0
3 years ago
Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. B
monitta

Answer:

Cynthia will have to pay $152.16 extra in finance charges.

Step-by-step explanation:

Cynthia had a credit card with a 17% APR and a $3,265 balance.

Cynthia’s credit card company has increased her interest rate to 21%.

Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24

Second when p = p = 3265 r = 21% and n = 24

Scenario 1:

r =17/12/100=0.014166

EMI formula is :

\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}

Putting the values in formula we get;

\frac{3265\times0.014166\times(1+0.014166)^{24}}{(1+0.014166)^{24}-1}

= \frac{3265\times0.014166\times(1.014166)^{24}}{(1.014166)^{24}-1}

EMI = $161.43

Scenario 2:

r = 21/12/100=0.0175

Putting the values in formula we get;

\frac{3265\times0.0175\times(1+0.0175)^{24}}{(1+0.0175)^{24}-1}

= \frac{3265\times0.0175\times(1.0175)^{24}}{(1.0175)^{24}-1}

EMI = $167.77

Now, difference in EMI's = 167.77-161.43=6.34 dollars

And for 24 months this amount becomes = 24\times6.34=152.16 dollars

Therefore, Cynthia will have to pay $152.16 extra in finance charges.

6 0
3 years ago
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