Answer:
a ≈ 19.45
Step-by-step explanation:
<u><em>Law of Cosines</em></u>
a=c2+b2﹣2cbcosγ
=112+132﹣2·11·13·cos(108°)
≈19.45196
Answer:
$24.875
Step-by-step explanation:
If we use an equation to solve the total amount, like y=9.95x where x is the gallons purchased. We then multiply 9.95 by 2.5 to get 24.875
Answer:
Simple interest = $36
Compound interest = $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Step-by-step explanation:
Simple interest is calculated on the principal amount of a loan. Compound interest is calculated on the sum of principal amount and accumulated interest of previous periods.
Simple interest = 
Compound interest = 
Here, P denotes principal amount, R denotes rate of interest, T denotes time.
Given: $600 invested at 3% simple interest for 2 years, $600 invested at 4% compounded monthly for 2 years
To find: Simple interest and compound interest.
Solution:
Take P=600, R=3% and T=2 years
Using the formula of simple interest mentioned above,
Simple interest = 
So, interest earned is $36
Take P=600, R=4% and T=2 years
Using the formula of compound interest mentioned above,
Compound interest = 
=
=![600\left [ \left ( \frac{26}{25} \right )^2-1 \right ]](https://tex.z-dn.net/?f=600%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B26%7D%7B25%7D%20%5Cright%20%29%5E2-1%20%5Cright%20%5D)
=
=
So, interest earned is $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Step-by-step explanation:
a) 24.7×52.3=1291.81
On rounding off to 3 significant digits we get
1290
b)


=31.304951
On rounding off to 5 significant figures we get
=31.305
c)
![\sqrt[3]{78} = 4.27265](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B78%7D%20%20%3D%204.27265)
On rounding off to 2 significant figures we get
=4.3
Hence required answers
a)1290
b)31.305
c)4.3
I hope it helped you
The answer to your problem would be -60