Write and solve an equation based off the verbal phrase. 10 less than half a number is 27

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

$ln(8,000/5,800)=0.06t$

$t=ln(8,000/5,800)/0.06=5.36\ years$

5 0

3 years ago

You are driving on a freeway with a posted speed of 65 mph. Nearly all of the cars are traveling between 35 and 40 mph. What wou

marissa [1.9K]

30 mph would be a safe speed for you to drive.

Collisions are much more likely to occur when one driver travels greater speedy or more slowly than the alternative motors on the road. You have to input a throughway at or near the velocity of visitors except if the speed of site visitors exceeds the prison speed restrict.

A pedestrian has a 90 percent threat of survival if hit by a vehicle transferring at 30 km ph (18.64 mph). This decreases to 70 percent at 40 kmph (24. eighty five mph) and much less than 20 percent at 50kmph (31 mph). driving at decreased speeds also enables drivers to stop within a shorter distance.

Retaining high speeds on highways is straightforward, as roads are wider and traffic is usually mild. If there are signs that show a pace restriction of 80kph, use them as a guide and stick near them. it's also an excellent exercise to assess road situations and set your pace thus.

Learn more about driving here brainly.com/question/26084890

#SPJ4

3 0

2 years ago

David had a coupon for the grocery store. He started graphing on the x-axis what his total bill would be if he didn’t use the co

Gre4nikov [31]

Answer:

Answer is 68$

Step-by-step explanation:

4 0

3 years ago

If your are flying in a plane going 500km/h, how far (in km) will you go in 2 hours and 15 minutes