Answer:
318.2 ml
Step-by-step explanation:
Jamie has 100 ml of a 50% isopropyl alcohol solution.
She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.
Let the amount of 96% solution required = x ml
Final amount of 85% isopropyl alcohol solution = (100 + x) ml
Therefore, equation for this situation will be,
100 × (50%) + (x) × (96%) = (100 + x) × (85%)
100(0.5) + 0.96x = 0.85(100 + x)
50 + 0.96x = 85 + 0.85x
0.96x - 0.85x = 85 - 50
0.11x = 35
x = 
x = 318.18 ml
≈ 318.2 ml
Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.
Answer: b) slope: -1, y-intercept 12
Step-by-step explanation:
The equation here is in slope-intercept form (y=mx+b)
In slope-intercept form m is the slope and b is the y-intercept
m=-1 and b=12 so the answer is b
Translate the words into math and solve for x. Any questions let me know.
Answer: The answer is C.
Step-by-step explanation:
Because in the theory of the outcome is a 50/50 chance landing heads or tails. So, the theorectical probability is 1/2. Now the experimental must be 11/20.
Answer:
$144.70
Step-by-step explanation:
Calculation to determine how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization
First step is to determine the Interest only monthly repayments
Using this formula
I=Prt
where,
P=$6925
r=0.05/1
t=1
Let plug in the formula
I=6925*0.05/12
I= $28.854166666
Second step is to determine the amount she will owe after 4 years
Using this formula
S=P(1+r)n
Let plug in the formula
S=6925*(1+0.05/12)4*12
S=6925*(1+0.05/12)48
S=$8454.70
Third step is to determine the Interest part
Interest =8454.70 - 6925
Interest = $1529.70
Now let determine the how much greater will the amount of interest capitalized be
Interest capitalized=1529.70 - 1385.00
Interest capitalized =$144.70
Therefore how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization is $144.70
