8h=6h-14
subtract 6h from both sides
2h=14
divide by 2
h=7
Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
<h3>60 = 2*2*3*5</h3>
which is the same as saying
<h3>60 = 2^2*3*5</h3>
Answer:
The units of measurement for the composite function c(w(h)) is canvases over weeks.
Step-by-step explanation:
Given :
The function c(t) approximates how many canvases she paints per hour.
The function w(h) represents how many hours per week Christina spends painting the canvases.
To Find: What are the units of measurement for the composite function c(w(h))?
Solution:
C(t)= canvases paints per hour
W(h)=hours per week
C(w(h)) =canvases paints per hour * hours per week
C(w(h)) =canvases per week
So, Option 3 is true
Hence , the units of measurement for the composite function c(w(h)) is canvases over weeks.
Answer:
$1431
Step-by-step explanation:
If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.
Answer:
The amount needed to pay off the loan after 4 years is $70,192
Step-by-step explanation:
When interest is compounded annually, total amount A after t years is given by:
where P is the initial amount (principal), r is the rate and t is time in years.
From the question:
P = $60,000
r = 4% = 0.04
t = 4
The amount needed to pay off the loan after 4 years is $70,192
If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.
