<span>An actor invested some money at 9% simple interest, and $42,000 more than three times the amount at 12% per annum. </span><span>What we are after is amounts of interest invested at 9% and at 12%. Let's call them x and y respectively.
x=42000 at 9% = </span>$3,780.00 = $45,780.00
y=3x42000 at 12% = $15,120.00 = $141,120.00
x+y=$186,900.00
Answer:
x= 3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x−2(x+1)=
1
/4
5x+(−2)(x)+(−2)(1)=
1
/4
(Distribute)
5x+−2x+−2=
1
/4
(5x+−2x)+(−2)=
1
/4
(Combine Like Terms)
3x+−2=
1
/4
3x−2=1
/4
Step 2: Add 2 to both sides.
3x−2+2=
1
/4
+2
3x=
9
/4
Step 3: Divide both sides by 3.
3x/
3
=
9
/4
/3
x=
3
/4
Answer: 11 batches of muffins
Step-by-step explanation:
From the question, we are given the information that Jim is baking chocolate chip muffins and that he has a total of 7 1/3 cups of chocolate chips, and each batch of muffins uses 2/3 of a cup of chocolate chips.
The most number of batches of muffins that Jim can make will be gotten by dividing 7 1/3 by 2/3. This will be:
= 7 1/3 ÷ 2/3
= 22/3 ÷ 2/3
= 22/3 × 3/2
= 11
Jim can make 11 batches of muffins.
The answer of Cubic root of 343 is 7
