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Rama09 [41]
2 years ago
15

Please solve for x and explain

Mathematics
1 answer:
icang [17]2 years ago
8 0

Check the picture below.

(x+6)^2=x^2+12^2\implies (x+6)(x+6)=x^2+144 \\\\\\ \stackrel{F~O~I~L}{x^2+12x+36}=x^2+144\implies 12x+36=144\implies 12x=108 \\\\\\ x=\cfrac{108}{12}\implies x = 9

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Can someone please help me with these questions? Thanks
sergiy2304 [10]
D. 800(3.14) cm cubed
7 0
3 years ago
How many grams must be adde to 970g to make 1 and a half kg
madam [21]

Answer:

530 grams

Step-by-step explanation:

970 grams = 0.970 kg

1 kg = 1000 grams

Thus: 500+30 = 530 grams

3 0
3 years ago
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

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

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

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  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
A park mr.Denyssenkos house has a joggings trail that is 2640 meters long what is the length in centimeters if the jogging trail
Mumz [18]
Your answer is 246000 cm.
4 0
3 years ago
A recipe for fruit punch calls for every 9 cups of grapefruit juice for every 4 cups of OJ. If 60 cups of OJ are used, then how
vampirchik [111]

Answer:

15 cups

Step-by-step explanation:

60/4=15

3 0
3 years ago
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