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Eduardwww [97]
2 years ago
14

1

Mathematics
1 answer:
ivolga24 [154]2 years ago
3 0

Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:

a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a

simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.

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A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters
Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

<u>Step-by-step explanation:</u>

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

                         20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

                              0.20(x) + 0.50 (15 – x) = 15 (0.34)

                              0.20 x + 7.5 – 0.50 x = 5.1

                              -0.3 x + 7.5 = 5.1

                              0.3 x = 7.5 – 5.1

                              0.3 x = 2.4

x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)

Apply ‘x = 8’ value in (15 – x) we get,

                         15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0
3 years ago
A pack of snack bars includes 2 blueberry bars, 3 chocolate bars, and 5 cherry bars. What is the ratio of the number of blueberr
scoundrel [369]

Answer:

2:5

Step-by-step explanation:

im god

4 0
3 years ago
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18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of
AnnyKZ [126]

Answer:

\$20,400

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?

substitute in the formula above and solve for r

\$21,600=\$18,000(1+4r)

1.2=(1+4r)

4r=1.2-1

r=0.2/4=0.05

The rate of interest is 5\%

step 2

Find the sum of  money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

t=5\ years\\ P=?\\ A=\$25,500\\r=0.05

substitute in the formula above and solve for P

\$25,500=P(1+0.05*5)

P=\$25,500/(1.25)=\$20,400

3 0
3 years ago
Find the average rate of change for the given function from x = −1 to x = 2.
Mashutka [201]

the \: average \: rate \: of \: change =  \frac{f(x2) - f(x1)}{x2 - x1}  \\  \frac{f(2) - f( - 1)}{ 2 -  - 1}  =  \\  \frac{ - 3(2) + 2 - ( - 3( - 1) + 2)}{3} =   \\  \frac{ - 6  + 2 - 3 - 2}{3}  =  \frac{ - 9}{3}  =  - 3
3 0
3 years ago
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Find the Unit Rate: If 10 30.5 oz containers cost $70 how much does one container cost?​
sleet_krkn [62]

Answer:

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Step-by-step explanation:

70 / 10 = 7

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3 years ago
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