Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
4 ants = 24 legs 2 spiders = 16 legs
24+16 = 40 legs
Answer:
the second option : 5 1/3
Step-by-step explanation:
the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a
h = 4
the formula is h = sqrt(a×b)
with a and b being the baseline segments.
so,
4 = sqrt(3×a)
16 = 3×a
a = 16/3 = 5 1/3
Answer:
APR = 416%
EAR = 5370.60%
Step-by-step explanation:
Given:
Interest rate = 7.8% per week
Now,
In an year there are total 52 weeks
thus,
The APR (Annual percentage rate) = Interest rate × Total weeks in an year
or
APR = 8% × 52
or
APR = 416%
and, EAR ( Effective Annual Rate ) = ( 1 + r )ⁿ - 1
Here,
r is the interest rate per week
n is the total weeks in an year
thus,
EAR ( Effective Annual Rate ) = ( 1 + 8% )⁵² - 1
= ( 1 + 0.08 )⁵² - 1
= 53.7060
or
53.7060 × 100% = 5370.60%
