Answer:

Step-by-step explanation:

Distribute 2 through the parentheses


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Answer is $31.25
Step by step
We know mark up is 112%
We know sell price (retail) after markup
We are looking for wholesale (original price)
So 112% of x = $35
1.12x = $35
Divide both sides by 1.12 to isolate x
X= 31.25
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Answer:
It should be $12168.75
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 11000 × 0.0425 × 2.5 = 1168.75
I = $ 1,168.75
The simple interest accumulated
on a principal of $ 11,000.00
at a rate of 4.25% per year
for 2.5 years is $ 1,168.75.
1,168.75 + 11000 = 12168.75