Answer:
$5,591.46
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, change 2.5% into a decimal:
2.5% -> 
-> 0.025
Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:
The amount in the account after 4.5 years is $5,591.46
I just did this, the answer is 12 :) hope that helps!
Answer:
I do not agree. If Mr. Evans worked 42.25 at a rate of $9.20 per hour for the first 40 hours and 1.5 times that rate after, he would have made a total of $399.05.
Step-by-step explanation:
In order to find the total amount that Mr. Evans would have earned last week, we need to first calculate how much he earned in his regular pay at 40 hours. For up to 40 hours, Mr. Evans makes $9.20 per hour, so his total wages earned after 40 hours is: 40 x 9.2 = $368.00. However, Mr. Evans also worked 2.25 hours of overtime at a rate of 1.5 times $9.20 or 9.2 x 1.5 = $13.80. At $13.80 for 2.25 hours, Mr. Evans would earn: 13.80 x 2.25 = $31.05. When you add his base pay of $368.00 plus his over time pay of $31.05, you get a total of $399.05.
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.
How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.
1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.
6C + 7S = $174
10C + 14S = $318
2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.
-12C - 14S = -$348
10C + 14S = $318
Combine like terms.
-2C = $30
Divide by -2 on both sides. The left side cancels out.
C = $30/-2
C = -$15 (In this case the negative doesn't matter)
C = $15 (cost of senior citizen ticket)
Plug the value of C into any of the two equations so we can get the value of S.
6($15) + 7S = $174
Distribute the 6 into the parenthesis.
$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.
7S = $84
Divide both sides by 7.
S = $12
Student ticket: $12
Senior citizen ticket: $15
Answer:
x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))
Step-by-step explanation:
notice that x = MK = HM = 24.
Let the center of the circle be C.
Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).
Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)
Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))
hopefully this helped
