Answer:
Hiroshi's error was not having changed the sign of the number 37 by removing the parentheses and placing -37 instead of +37.
Step-by-step explanation:
we have
Hiroshi's work
Remember that
a negative number is just a positive number multiplied by -1
and (-1)(-1)=+1
so
Correct work
therefore
Hiroshi's error was not having changed the sign of the number 37 by removing the parentheses and placing -37 instead of +37.
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)
Take root root on both side,
r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Answer:
(a) x = 30°
(b) mRS = 30°
mST = 120°
mTU = 120°
mUR = 90°
Step-by-step explanation:
(a) In the picture attached, the diagram is shown.
Given that m arc RS = x, from the ratios:
m arc ST = 4x
m arc TU = 4x
m arc UR = 3x
The addition of the four arcs must be equal to 360°, then:
x + 4x + 4x + 3x = 360°
12x = 360°
x = 360°/12 = 30°
(b) m arc RS = x = 30°
m arc ST = 4x = 4*30° = 120°
m arc TU = 4x = 4*30° = 120°
m arc UR = 3x = 3*30° = 90°
