Typically 1211 snack mix would be left but the answer is 23. because it is 23
Answer: option d) (1/16) (42 - x)
Explanation:
1) You forgot to include the table.
This is the table:
Rate time distance
(mi / min) (min) (mi)
up the hill 1/12 x (1/12)x
down the hill 1/16 42-x ?
2) You also forgot to include the set of answerchoices. This is it:
a) x
b) -x
c) 42 - x
d) (1/16) (42-x)
3) Solution:
The missing value is the distance of the trip down the hill.
The distance is the rate times the time, i.e.:
distance = rate * time
the rate is given as 1/16, and the time is given as 42 - x, so the distance is:
distance = (1/16) (42 - x), which is the answer.
Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.
Step-by-step explanation:
The given is,
Nadia deposited $3000
After 6 years, she had earned $990 in interest
Simple interest
Step:1
Formula to calculate the future amount with simple interest is,
...........................(1)
Where, F - Future amount
P - Initial investment
r - Rate of interest ( simple interest )
t - No. of years
Step:2
From the given,
I = $990
P = $3000
F = Initial investment + Interest amount
F = P + I = 3000 + 990 = $3990
t = 6 years
Equation (1) becomes,
3990 = 3000 ( 1 + (r)(6) )

1.33 = 1 + (r)(6)
1.33 - 1 = (r)(6)
0.33 = (r)(6)

r = 0.055 × 100
r = 5.5%
Result:
Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.
Answer:
<em>Use </em><em>the </em><em>equation</em><em> </em><em>y=</em><em>mx+</em><em>c</em>
<em>the </em><em>slope(</em><em>m)</em><em> </em><em>is </em><em>2</em><em>,</em><em>y </em><em>is </em><em>-7and </em><em>x </em><em>is </em><em>6</em>
<em>therefore</em><em> </em><em>you </em><em>firstly</em><em> </em><em>have </em><em>to </em><em>find </em><em>the </em><em>y </em><em>intercept</em><em> (</em><em>c)</em>
<em>y=</em><em>mx+</em><em>c</em>
<em>-</em><em>7</em><em>=</em><em>2</em><em>(</em><em>6</em><em>)</em><em>+</em><em>c</em>
<em>-</em><em>7</em><em>=</em><em>1</em><em>2</em><em>+</em><em>c</em>
<em>-</em><em>7</em><em>-</em><em>1</em><em>2</em><em>=</em><em>c</em>
<em>-</em><em>1</em><em>9</em><em>=</em><em>c</em>
<em>then </em><em>replace </em><em>the </em><em>gradient</em><em> </em><em>and </em><em>y </em><em>intercept</em><em> </em><em>in </em><em>the </em><em>equation</em>
<em>y=</em><em>mx+</em><em>c</em>
<em>y=</em><em>2</em><em>x</em><em>-</em><em>1</em><em>9</em>
<em>or </em><em>you </em><em>can </em><em>use </em><em>the </em><em>formula</em><em> </em><em>y-y1=</em><em> </em><em>m(</em><em> </em><em>x-x1)</em>
<em>I </em><em>hope </em><em>this </em><em>helps</em>
Answer:
At least 37.74% of the procedures takes between 97.6 and 125.6 minutes
Step-by-step explanation:
The percentage is the area of the standard normal distribution curve between the values 97.6 and 125.6
The standard normal variate of the given data is found as

Thus for the given values Z is calculated as under

Similarly for the other value we have

Thus the area between the calculated values can be found from standard normal distribution table to be 37.74%