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.
Hey there! :)
2x - 3y - z ; When x = -2, y = 3, & z = -2
Since we're given the values of x, y, & z, we can very simply plug everything in!
2(-2) - 3(3) - (-2)
Simplify.
(-4) + (-9) + 2
Get rid of parenthesis.
-4 - 9 + 2
Remember to do PEMDAS!
Parenthesis
Exponents
Multuply
Divide
Add
Subtract
So, since adding comes before subtracting, let's add! :)
-4 - 9 + 2
-4 - 7
Simplify.
-11
So, our answer is [A] : -11
~Hope I helped!~
Answer: The answer is $2.77.
Step-by-step explanation: Given that we have to pay the loan of $1300 at interest rate of 7.5% in 6 months. According to the table,
Amount for interest in payment 1 = $8.13,
Amount of interest in payment 2 = $6.79
and
Amount of interest in payment 3 = $5.45.
We can see here that the difference in the amounts to be paid in consecutive months will be same, i.e., the payments will form an arithmetic progression (A.P.).
The common difference = 8.13-6.79=6.79-5.45=1.34.
Therefore, amount of interest in payment 4 = $(5.45-1.34) = $4.11
and amount of interest in payment 5 = $(4.11-1.34) = $2.77.
Please see the attached modified table.
Thus, the answer is $2.77.
