Answer:
x=75
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
42 50
------ = ----------
42+63 50+x
42 50
------ = ----------
105 50+x
Using cross products
42(50+x) = 50*(105)
2100+42x = 5250
Subtract 2100 from each side
2100-2100+42x = 5250-2100
42x =3150
Divide by 42
42x/42 = 3150/42
x = 75
You have to multiply whats outside the parenthesis with everything that is inside, so
Multiplication of same bases we sum the exponents
Alternative B.
Answer:
$1,229.75
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>
<em />
First, change 3.25% into a decimal:
3.25% -> 
-> 0.0325
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
Lastly, subtract A from P to get the interest earned:
Answer:
250
Step-by-step explanation:
There is a 200 start up cost plus 50 per month
Cost = 200 + 50m where m is the number of months
We have 1 month
Cost = 200 +50(1)
Cost = 250
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
