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Gennadij [26K]
3 years ago
6

What's 179 square root Show how

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
Rudik [331]

Answer:

Part 1) 8.17 years

Part 2) 4.98 years

Part 3) 4.95 years

Part 4) 4.95 years

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part 1) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded annually

in this problem we have  

t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=1  

substitute in the formula above  

2p=p(1+\frac{0.14}{1})^{t}  

2=(1.14)^{t}  

Apply log both sides

log(2)=log[(1.14)^{t}]  

log(2)=(t)log(1.14)  

t=log(2)/log(1.14)  

t=8.17\ years

Part 2) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded monthly

in this problem we have      

t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=12  

substitute in the formula above  

2p=p(1+\frac{0.14}{12})^{12t}  

2=(\frac{12.14}{12})^{12t}  

Apply log both sides

log(2)=log[(\frac{12.14}{12})^{12t}]  

log(2)=(12t)log(\frac{12.14}{12})  

t=log(2)/12log(\frac{12.14}{12})  

t=4.98\ years

Part 3) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% compounded daily

in this problem we have  

t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14\\n=365  

substitute in the formula above  

2p=p(1+\frac{0.14}{365})^{365t}  

2=(\frac{365.14}{365})^{365t}  

Apply log both sides

log(2)=log[(\frac{365.14}{365})^{365t}]  

log(2)=(365t)log(\frac{365.14}{365})  

t=log(2)/365log(\frac{365.14}{365})  

t=4.95\ years

Part 4) Determine the time necessary for P dollars to double when it is invested at interest rate r=14% continuously

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\ P=\$p\\A=\$2p\\r=14\%=14/100=0.14  

substitute in the formula above  

2p=p(e)^{0.14t}  

Simplify

2=(e)^{0.14t}  

Apply ln both sides

ln(2)=ln[(e)^{0.14t}]  

ln(2)=(0.14t)ln(e)  

Remember that ln(e)=1

ln(2)=(0.14t)  

t=ln(2)/(0.14)  

t=4.95\ years

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SOVA2 [1]

the cost to pick 3 pecks of peaches will be 14.75$

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A company claims that their new bottle holds 25 % more laundry soap. If their original container held 53 fluid ounces of soap, h
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53 * .25 = 13.25, 53 + 13.25 = 66.25 fluid ounces

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3 years ago
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If m=(2x+1) and n=(6) and m+n=(9). Find x<br>​
gregori [183]

Answer:

\Large \boxed{x=1}

Step-by-step explanation:

Substitute m=(2x+1) and n=(6) in m+n=(9).

We are finding the value of the x variable.

2x+1+6=9

Add the numbers on the left side of the equation.

2x+7=9

Subtract 7 from both sides.

2x+7-7=9-7

2x=2

Divide both sides by 2.

\displaystyle \frac{2x}{2}=\frac{2}{2}

x=1

The value of the x variable is 1.

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3 years ago
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Daniel [21]
I am to believe that his score was 70.

since mike scored 15 less than 85 i had suspected it was 70
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3 years ago
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