Answer:
It would take 5.9 years to the nearest tenth of a year
Step-by-step explanation:
The formula of the compound continuously interest is A = P
, where
- A is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ Serenity invested $2,400 in an account
∴ P = 2400
∵ The account paying an interest rate of 3.4%, compounded continuously
∴ r = 3.4% ⇒ divide it by 100 to change it to decimal
∴ r = 3.4 ÷ 100 = 0.034
∵ The value of the account reached to $2,930
∴ A = 2930
→ Substitute these values in the formula above to find t
∵ 2930 = 2400
→ Divide both sides by 2400
∴ 
=
→ Insert ㏑ in both sides
∴ ㏑() = ㏑()
→ Remember ㏑(
) = n
∴ ㏑() = 0.034t
→ Divide both sides by 0.034 to find t
∴ 5.868637814 = t
→ Round it to the nearest tenth of a year
∴ t = 5.9 years
∴ It would take 5.9 years to the nearest tenth of a year
Answer:
5+2x+x+2=34
7+3x=34
7-7+3x=34-7
3x=27
3x/3=27/3
x=9
5+2x=AS
5+(2*9)=AS
5+18=AS
23=AS
23 units
Step-by-step explanation:
We are given the speed of the shuttle as:
speed = 28,000 miles / hour
We know that:
1 mile = 5280 ft
24 hour = 1 day
Therefore by conversion:
speed = (28,000 miles / hr) * (5280 ft / 1 mile) * (24 hr
/ day)
speed = 3,548,160,000 ft / day
In 2 significant figures:
<span>speed = 3.5 x 10^9 ft / day</span>
Answer:
The slope-intercept form of the given equation is,
Step-by-step explanation:
The given equation of the line is,
- 4<em>x</em> + 7<em>y</em> = - 14
Adding '4<em>x</em>' on both sides of the above equation, we get
- 4<em>x</em> + 7<em>y</em> + 4<em>x</em> = - 14 + 4<em>x</em>
⇒ 7<em>y</em> = 4<em>x</em> - 14
Now, dividing both sides of the above equation by '7', we get
7<em>y</em> ÷ 7 = (4<em>x</em> - 14) ÷ 7
This is the required equation of the line in slope-intercept form.
