Answer:
Step-by-step explanation:
<em>Apply</em> the prime factorization method:
⇒
<em>Definition </em>of prime <u>factorization</u>:
The factorization of a positive integer into its constituent prime numbers.
Answer:
8.44 m
Step-by-step explanation:
SohCahToa is a good way to remember that Sin = opposite/hypotenuse, Cosine = adjacent/hypotenuse and Tangent = opposite/adjacent. In this case, we have to use tangent. So tan 37° = x/11.2. Multiply both sides by 11.2 and you get tan 37° × 11.2 = x; The height of the school is x so the height of the school is 8.44 m
<h3>
Answer: 49/100</h3>
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Explanation:
There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.
The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.
The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.
If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15
Answer:
$2535.88
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)
where Accrued amount is to be determined
P = principal; $2000
r = 4.75% = 0.0475
t = number of years = 5
n = number of times interest is compounded = 52
Therefore
Accrued amount = 2000 (1 + 0.0475/52)^(5x52)
= 2000 x (1.000913)^260
= 2000 x 1.2679
= $2535.88
aerage rate of change is just the slope from the endpoints of teh interval
ie
assuming you mean
evalaute f(5) and f(1)
f(5)=480(0.3)^5=1.1664
f(1)=480(0.3)^1=144
average rate of change=(1.1664-144)/(5-1)=-35.7084
the average rate of change of the function on the interval x=1 to x=5 is -35.7084