Answer:
<em> There are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>
Step-by-step explanation:
Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y
If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1
Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;
150y + 100x = 1900
Dividing through by 100;
1.5y+x = 19 ..... 2
Solving equation 1 and 2 simultaneously;
x+y = 15 ... 1
1.5y+x = 19 .... 2
Subtracting 1 from 2
y-1.5y = 15-19
-0.5y = -4
Divide both sides by 0.5
-0.5y/-0.5 = -4/-0.5
y = 8
Substituting y = 8 into equation 1, we will have;
x+y = 15
x+8 = 15
x = 15-8
x = 7
<em>Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>
<em></em>
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:
It will be 2624.
Step-by-step explanation:
So basically you just find the area of the triangle first, which is 22x64x1/2, and you get 704. Then, you find the area of the rectangle, which is 30x64, andyou get 1920. Finally, you add 704 and 1920 and you get 2624.
