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Viktor [21]
3 years ago
6

Round the following real number to the nearest hundredth: 67.498​

Mathematics
2 answers:
evablogger [386]3 years ago
3 0

Answer:

67.50

Step-by-step explanation:

Pani-rosa [81]3 years ago
3 0

Answer:

<h2><u>67.5</u></h2>

The hundredth is always the second number after the decimal point (to the right).

So, when rounding to that number look at the number on the right of it, which in this case is 9.

Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.

In this case, the number above 0.49 is 0.5.

<em>Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!</em>

<em />

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3 years ago
A woman invests $5800 in an account that pays 6% interest per year, compounded continuously.
mel-nik [20]

Answer:

Part a) \$6,539.48  

Part b) 5.36\ years  

Step-by-step explanation:

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

Part a) What is the amount after 2 years?

we have  

t=2\ years\\ P=\$5,800\\ r=0.06  

substitute in the formula above  

A=\$5,800(e)^{0.06*2}=\$6,539.48  

Part b) How long will it take for the amount to be $8000?

we have  

t=?\ years\\ P=\$5,800\\ r=0.06\\A=\$8,000  

substitute in the formula above  and solve for t

\$8,000=\$5,800(e)^{0.06t}  

(8,000/5,800)=(e)^{0.06t}  

Applying ln both sides

Remember that

ln(e)=1

ln(8,000/5,800)=0.06t  

t=ln(8,000/5,800)/0.06=5.36\ years  

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