Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-

Now, At x= 6

Hence, the investment amount after 6 years will be $3,374.65.
H(17) = 17
Do you need help with the other 2?
Answer:
C(x)=25x+6000
b=2250
Step-by-step explanation:
C(x)=mx+b
m-marginal cost
x-no items
finding B
C(x)mx+b
6000=25(130)+b
b=2250
General substitution
C(x)=25x+6000
Answer:
105°
Step-by-step explanation:
X and 75 has to add up to 180
so 180 - 75 = 105°
Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Step-by-step explanation:
Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.
Since, for recipe of sparkling grape juice , they should be used in same proportion.
Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.