Answer:
Step-by-step explanation:
Both of these questions involve proportions. You can set up an equation using equivalent fractions. You want to express to ratio of cm to km in Part A. Given the scale factor 5 cm = 2 km, then we can let c = the number of cm that represent an actual distance of 5 km. The following equation can be formed:
5/2 = c/5
Both of these fractions are a ratio of cm to km. To solve, we can cross-multiply.
2c = 25
c = 12.5 cm
You can use a similar process for Part B.
Answer:
C
Step-by-step explanation:
Answer:
He paid $253.09 in interest.
Step-by-step explanation:
To find how much did he pay in interest, we use the simple intrest formula, that is given by:
In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.
In our problem, we have that:
He borrowed $4,400, so 
At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So 
.
From December 26, 2019 to February 21, 2021, there are 422 days, so 
.
He paid $253.09 in interest.
Answer:
13.9
Step-by-step explanation:
To get the length, or the hypotenuse, you do the equation a^2 + b^2 = c^2
Meaning you multiply those known lengths by themselves, then add them.
169 + 25 = 194
Then you find the square root of 194.
The square root would be 13.9283882772, or when rounded to the nearest tenth, 13.9
You'll multiply the both incomes and then reduce them to the lowest form.
1/10 * 2/9 = 2/90
Reduce it:
2/90 = 1/45
So the assistant gets 1/45 the income of the athlete.
Hope this helps :)
