Answer:
Step-by-step explanation:
Start by finding how many integers there are from 10-30...
30-10+1=20+1=21
Note we have to add 1 since it is inclusive.
Now, let's find how many multiples of 4 or 5 there are from 10-30...
4*3=12
4*4=16
4*5=20
4*6=24
4*7=28
5*2=10
5*3=15
5*4=20
5*5=25
5*6=30
5+5-1=9
Note we have to subtract 1 since 20 is counted twice.
The probability would be...
Answer:
“Oh, the bells, bells, bells!
What a tale their terror tells
Of Despair!
How they clang, and clash, and roar!
What a horror they outpour
On the bosom of the palpitating air!
Yet the ear it fully knows,
By the twanging,
And the clanging,
How the danger ebbs and flows;
Yet the ear distinctly tells,
In the jangling,
And the wrangling.”
Step-by-step explanation:
So if Angela entered the same restaurant 4 times, we have 4 "instances" of her entering the restaurant.
Each instance, she ordered a salad. The price of this salad is unknown, so we'll say the price is "S".
Each instance, she payed a $5 tip.
So we have 4 instances of spending S, and 4 instances of spending 5.
We know this totals 54.
Knowing all of this information, we can write our equation like this:
4(S + 5) = 54
Divide
S + 5 = 13.50
Subtract
S = 8.50
The cost of salad is $8.50
Answer:
The required relation is,
= 
Step-by-step explanation:
We know that for a certain amount of dry gas when the pressure is kept constant it's volume V and temperature T is related by the function,
V = cT -----------------------(1) [where "c" is a constant]
So, in that case rate of change of volume(V) with respect to time (t),
=
will be equal to ,
where 
is equal to rate of change of temperature (T) with respect to time (t) and c is the constant stated before.
So, the required relation is,
=
Answer:
$2,980
Step-by-step explanation:
Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.
From the given question:
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage
the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points
Thus; the additional money she need to bring to closing is calculated by the formula:
cost = points × loan amount
= 0.02 × $149,000
= $2,980
