Answer:
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
x +y = 11 Sum of the digits = 11
10x + y + 45 = 10y + x Reversed number is 45 more than original #
10x - x + y + 45 = 10y We subtracted x from both sides.
9x + y + 45 = 10y Subtract y from both sides.
9x + 45 = 10y - y Combine the right
9x + 45 = 9y
Put x + y = 11 into the equation just found.
9x + 45 = 9(11 - x) divide through by 9
x + 45/9 = 11 - x add x to both sides
2x + 5 = 11 Subtract 5 from both sides
2x = 11 - 5
2x = 6 Divide by 2
x = 6/2
x = 3
x + y = 11
3 + y = 11
y = 11 - 3
y = 8
Now check it out.
the original number is 38
the new number is 83 which the digits are reversed.
83 - 38 = 45 just as it should.
Answer:
1.75 %
Step-by-step explanation:
The formula for the future value (FV) of an investment is
FV =PV(1 + r/n)^nt
If the interest is calculated once a year, n = 1, and the formula reduces to
FV = PV(1 +r)^t
5550 = 5000(1 + r)⁶ Divide both sides by 5000
1.110 = (1+r)^6 Take the sixth root of each side
1 + r = 1.0175 Subtract 1 from each side
r = 0.0175 Convert to percent
r = 1.75 %
The interest rate is 1.75 %.
Answer:
(a) $60 | (b) $660
Step-by-step explanation:
We can use the simple interest formula for this:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal form)</em>
<em>t = time (years)</em>
<em />
First, change 5% into its decimal form:
5% -> 
-> 0.05
Next, plug in the values into the equation:
<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>
The total interest earned is $60 and the total is $660.
55.15 (t) 55.2 (t) 54.34 (t) 52.08 =216.95
It will be 2/5 ft long and 7/25 ft wide. 200•1/500=2/5
140•1/500=7/25
