Hello! I guess the answer would be C) 20 Days!
Hope I Helped :))
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.
<h3>What is compound interest?</h3>
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,

Here,
is the final amount (principal plus interest amount) on the principal amount of
with the rate of
in the time period of
.
Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.
As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.
Learn more about the compound interest here;
brainly.com/question/24274034
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
Answer:
0.5 ; 0.34458
Step-by-step explanation:
Given that:
Mean (m) = 28
Standard deviation, s = 5
To obtain the Zscore :
Z = (x - m) / s
1.) P(x > 28)
Z = (28 - 28) / 5
Z = 0
P(Z > 0) = 0.5 (Z probability calculator)
2.) P(x < 26)
Z = (26 - 28) / 5
Z = - 0.4
P(Z > -0.4) = 0.34458 (Z probability calculator)