Answer: -2 and 4
Step-by-step explanation:
Let
.

Answer:
$9
Step-by-step explanation:
She will save $9 because the amount 75 so 12% of 75 is 9 and that 9 is the amount you save.
Here we need to calculate common denominator so, LCM of 16 & 24
It would be 48
So, final answer is 48
Hope it helped.
Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
Answer:
Their savings will be same after 25 weeks.
Step-by-step explanation:
The difference in both person's saving is $ 2/week
$5-$3=$2
The total difference in the starting point is $50 if we divide $50 by $2 we will get a number of 25 which is the number of weeks it will take both savings to reach at a same level
Calculation:
Starting point $150
Savings $5/week
5*25+150= $275
Starting point: $200
Savings 3$/week
3*25+200= $275