Answer:
$111
Step-by-step explanation:
First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.
Let's first compute for how much Hakim will have in total in the bank.
A = P(1 + rt)
P = 700 Initial Investment
r = 5% or 0.05 Interest
t = 1 Year
A = 700(1 + (0.05 x 1))
A = 700(1 + 0.05)
A = 700(1.05)
A = 735
So now we know that Hakim has a total of $735 in his bank account.
Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.
So first we find the discounted price.
x = 750
d = 20% or 0.20
Discount = 750 x 0.20
Discount = 150
Now that we have the discount of the computer, we then simply subtract the discount to the initial price.
750 - 150 = 600.
The computer will then cost $600 with the discounted price.
Now we have to find the sales tax.
Sales Tax = 4% or 0.04
Total Discounted Price = 600
600 x 0.04 = $24
Now that we have the sales tax, we simply add the sales tax to the discounted price.
600 + 24 = 624.
Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.
735 - 624 = 111
Hakim will have a total of $111 in his bank account after purchasing the computer.
Answer:
IQR = 6
Step-by-step explanation:
Given:
The given set of data is:
40 41 42 43 44 45 46 47 48 49 50
Number of terms, 
Therefore, the median is given as 
term which is the sixth term. Median = 45
(40 41 42 43 44) <u>45</u> (46 47 48 49 50 )
Now, we find the median of the lower half (
) and upper half (
)of the data that are before and after the median.
The lower half of the data has the values 40 41 <u>42</u> 43 44.
Number of terms are 5. So, median is the third term which is, 
The upper half of the data has the values 46 47 <u>48</u> 49 50.
Number of terms are 5. So, median is the third term which is, 
Now, IQR is given as the difference of upper half median and lower half median.
Answer:
Step-by-step explanation:
A is 1/4 of B
Volume of A = 1/4 of volume of B
= 1/4 × 64
= 16m^3
ANSWER
Point-slope form:
Slope-intercept form:
EXPLANATION
The graphed line passes through
The slope of this line is determined using
We substitute the points to get;
The point-slope formula is:
Substitute the first point and slope to get:
To find the slope-intercept form, we expand to get:
