Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
In percent,
Hence, the rate of interest = 13%
1.326 grams of NH3 are required to produce 4.65 g of HF.
Step-by-step explanation:
Balanced chemical reaction is written first to know the number of moles taking part in original reaction.
NH3 +3 F2 ⇒3 HF + NF3
Given:
mass of HF = 4.65
First the number of moles of HF in 4.65 grams is calculated by using the formula:
number of moles (n) =
atomic mass of HF = 20 grams/mole
putting the values in the above equation number of moles can be found.
n =
= 0.235 moles of HF are given.
From the equation it can be said that:
1 mole of NH3 reacts to form 3 moles of HF
so, x moles of NH3 would react to form 0.235 moles of HF
=
3x = 0.235
x =
x = 0.078 moles of NH3 is required.
The moles are converted to mass by applying the formula:
mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)
putting the values in the formula
mass = 17 X 0.078
mass = 1.326 grams
Answer:
a²
Step-by-step explanation:
(see attached for reference)
We can find GCF by expressing each expression into their prime factors
7a² = 7 x a x a
8a³b² = 8 x a x a x a x b x b
by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:
7a² = 7 x <em>a x a</em>
8a³b² = 8 x <em>a x a</em> x a x b x b
Hence the greatest common factor is a x a = a²
