Answer: $7,500
Step-by-step explanation:
Use the formula: SI = P(1 + rt)
SI = 5000(1 + 0.05[10])
SI = 5000 + 2500
SI = $7,500
After 10 years, your balance should be $7,500
Answer:
true.
Step-by-step explanation:
<u>Given</u>:
Given that the measure of arc DF is 162°
We need to determine the measure of ∠E
<u>Measure of ∠E:</u>
The measure of ∠E can be determined using the inscribed angle theorem.
Thus, by inscribed angle theorem, we have;
Substituting 
, we get;
Dividing, we get;
Thus, the measure of ∠E is 81°
We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.
Let w and l represent the width and length of the sign in feet, respectively.
... l = 2w -12 . . . . . the length is 12 ft less than twice the width
... p = 2(l +w) = 114 . . . . the perimeter is 114 ft
Using the first equation for l, we can substitute for l in the second equation.
... 114 = 2((2w -12) +w)
... 114 = 6w -24 . . . . . . . . simpify
... 138 = 6w . . . . . . . . . . . add 24
... 23 = w . . . . . . . . . . . . . divide by 6
... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l
The length and width of the sign are 34 ft and 23 ft, respectively.
(403 + 301 + 402 + 503 + 601) / 5 = 2210/5 = 442 <== ur answer
