Answer:
$1601.57, $511,57 more intrest
Step-by-step explanation:
1,090*1.08^5
= 1601.5676
Round up to get 1601.57
Answer:
Let x be the variable for a t-shirt for $8.
Let y be the variable for shorts for $12.
Let z be the variable for the hats that cost $10 each.
We have the expression 1 below:
$464 = $8x + $12y + $10z
other expressions:
3z = x
2z =y
By substitution we can solve each variable:
464 = 8(3z) + 12(2z) + 10z
464 = 24z +24z +10z
464 = 58z
z = 8
Solve for x andy:
3z=x
3*8 = 24=x
2z=y
2*8 = 16 = y
The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.
Step-by-step explanation:
Puppy Liz has to run approx 70ft to get to fire hydrant from the bench post.
Step-by-step explanation:
Let bench post be point A, fire hydrant be B and electrical post bottom be C and top be O.
We are given CO = 40ft
and angle BOC = 34°
angle AOC = 34 +23 = 57°
Let AB be y and AC be x
Clearly two right triangles are formed.
We can say,
In triangle BOC,
cos34° = Perpendicular ÷ Base = x÷40 => x = 40cos34°
and In triangle AOC
cos57° = Perpendicular ÷ Base = (x+y)÷40
substituting value of x from first equation to second we get,
40cos57° = 40cos34° + y
y = 40(cos57° - cos34°)
y = 40x1.75
y = 70ft which is the required answer.
Remove the parentheses (a) = a
hope this helps!