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Kitty [74]
3 years ago
10

From the yearbook receipts the students council deposited apart of the $1200 in a saving account receiving 9% interest per annum

, and the rest in a chequing account receiving 4% per annum. If the total interest received for a year is $88, how much money was deposited in each accounts? 10marks
Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0
There was $800 deposited at 9% interest and $400 deposited at 4% interest.

The formula for simple interest is I = prt.  Using our information we have:

88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48

Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x

Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400
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Mary need 3 pounds
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She needs 19 oz

Step-by-step explanation:

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Hope this helped :)

7 0
3 years ago
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Zack has two savings accounts with the total of $9,000. He withdew 10 percent from one and 60 percent from the other to buy his
klio [65]

The remaining balances in the first and second account are $5805 and $1020 respectively.

<em><u>Explanation</u></em>

Suppose, the initial balance in the first account was  x dollar.

As the total amount in two accounts was $9000, so the <u>initial balance in the second account was</u>  (9000-x) dollar

He withdrew 10% from the first and 60% from the second account to buy the ring which cost $2175. So, the equation will be......

0.10x+0.60(9000-x)=2175\\ \\ 0.10x+5400-0.60x=2175\\ \\ -0.50x= 2175-5400= -3225\\ \\ x=\frac{-3225}{-0.50}= 6450

So, <u>the initial balance</u> in the first account was $6450 and in the second account was ($9000 - $6450)= $2550

Thus, the remaining balance in the first account = 90% of $6450 = (0.90*6450)= \$5805

and the remaining balance in the second account = 40% of $2550 = (0.40*2550)=\$1020

3 0
3 years ago
Which point is located at (-3,6) <br><br> A) A<br><br> B) B<br><br> C) C<br><br> D) D
Andrej [43]

Answer is A

Step-by-step explanation:

Go over to the left 3 times then up 6

3 0
2 years ago
The cost of a unit is made up of $6.25 material cost, $4.75 labour cost, and $3.25 overhead. What is the ratio that exists betwe
blsea [12.9K]

Answer:

The ratio that exist between this three elements are 25 : 19 : 13.

Step-by-step explanation:

Ratio compares one thing to another. Ratios indicate the comparison of the size of a number to another . One trick about ratio is that you can multiply or divide the ratios by same number. For example the ratio of boy to girls can be represented as 3 : 4. If you multiply the ratios by 2 you will get the ratio 6 : 8 and it still represent the same ratios of boys to girls. Ratios can be written as a fraction for example 3/4 for our example.

The cost of the unit is made up of $6.25 , $4.75 and $3.25.

$6.25  $4.75  $3.25 . Let us multiply by 100 to remove the decimals.

625 : 475 : 325 . Now let simplify the ratios by dividing through by 25.

625/25 : 475/25 : 325/25 . The simplest ratios can be written as follows

The ratios are 25 : 19 : 13.

6 0
3 years ago
Solve the rational equation: x/x+1 = 2/x+1
Tju [1.3M]

Answer:

x = 2

Step-by-step explanation:

\frac{x}{x+1} =\frac{2}{x+1}

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x ≠ - 1

\frac{x}{x+1}(x+1) =\frac{2}{x+1}(x+1)

x = 2

6 0
2 years ago
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