Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
Answer:
B. $5039.58
Step-by-step explanation:
compound interest formula: amount = p(1 + \frac{r}{n})^{nt}
p= principal ($2,300)
r= interest rate as a decimal (4% = 0.04)
n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)
t= time in years (20 years)
new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}
That equation equals $2,739.58 which you add to the principal.
$2,739.58 + $2,300 = $5039.58
hope this helps :)
How are you supposed to solve this???
Answer:
Since the difference between the value for each year is constant, this is an arithmetic sequence.
Step-by-step explanation:
Year 2 - Year 1 = 21,750 - 20,000 = 1,750
Year 3 - Year 2 = 23,500 - 21,750 = 1,750
Year 4 - Year 3 = Year 5 - Year 4 = 1,750
<h3>
Answer: 9 meters</h3>
===========================================
Work Shown:
- side a = 8
- side b = 5
- angle C = 88 degrees
Applying the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 8^2 + 5^2 - 2*8*5*cos(88)
c^2 = 64 + 25 - 80*cos(88)
c^2 = 86.2080403
c = sqrt(86.2080403)
c = 9.2848285
c = 9
Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.
