Answer:approximately 50 years.
Step-by-step explanation:
Let $P represent the initial amount that she deposited. It means that principal,
P = $P
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 1.4%. So
r = 1.4/100 = 0.014
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. For the initial amount to double, it means that
A = 2P
Therefore
2P = P (1+0.014/1)^1×t
2P/P = (1.014)^t
2 = (1.014)^t
Taking log to base 10 of both sides, it becomes
Log 2 = log 1.014^t
Log 2 = tlog 1.014
0.301 = 0.006t
t = 0.301/0.006 = 50.2 years
Answer:
0.09 is the same as 9 hundredths
0.9 is the same as 9 tenths
0.009 is the same as 9 thousands
Step-by-step explanation:
Answer:
92.75 miles per 7 days
Step-by-step explanation:
13.25 mi/day times 7 days works out to 92.75 miles per 7 days.
There are four parts of a circle, so you have to find out the area of the circle:-
10 cm=Radius
=100
=3.14
3.14*100=314 
Now, find the area of the square box:-
Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.
Area=S*S
=20*20=400
Now subtract the area of the box from the area of the square:-
400-314= 86
That is the area of the shaded part.
Happy to help you!
x(-1,3) y(3,0) z(-1,-2)
xy
m = (3 + 1)/(0 - 3) = 4/-3 = -4/3
y - 3 = -4/3(x + 1)
y - 3 = -4/3x - 4/3
xy: y = -4/3x + 5/3
yz
m = (0 + 2)/(3 + 1) = 2/4 = 1/2
y = 1/2(x - 3)
yz: y = 1/2x - 3/2
xz
m = (3 + 2)/(-1 + 1) = 5/0 = undefined
y - 3 = undefined(x + 1)
xz: x = -1
xy: y = -4x/3 + 5/3
yz: y = x/2 - 3/2
xz: x = -1
