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kolezko [41]
3 years ago
15

How can $54,000 be invested part at 8% annual simple Interest and the remainder at 10% annual simple interest so that the intere

st earned by the two accounts will be equal
Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

0.08x = $5400-0.1x Add 0.1x to both sides of the equation.

0.18x = $5400 Divide both sides by 0.18

x = $3000 and $54000-$3000 = $24000

$3,000 is invested at 8%

$2,400 is invested at 10%

Step-by-step explanation:

You might be interested in
Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Par
Verdich [7]

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  \frac{25}{100} *50 = \frac{1}{4}*50 = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  \frac{25}{100} *60 = \frac{1}{4}*60 = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  \frac{50}{100} *60 = \frac{1}{2}*60 = 30

⇒50% of 60 = 30

Part D :

75% of 60 = \frac{75}{100} *60 = \frac{75}{10}*6 = 45

⇒75% of 60 = 45

Part E :

75% of 30 = \frac{75}{100} *30 = \frac{75}{10}*3 = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = \frac{100}{100} *22.5 = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = \frac{10}{100} *22.5 = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  \frac{50}{100} *45.7 = \frac{1}{2}*45.7 = 22.85

⇒50% of 45.7 = 22.85

6 0
2 years ago
If y=12 when x=3, find y when x =15 ( Y varies directly as x)​
Flauer [41]
Y = kx
when y= 12, x=3
12 = 3k
k = 12/3
k = 4

y = 4x
when x= 15
y = 4(15)
y = 60
4 0
2 years ago
3) -5
xxMikexx [17]

Answer:

Constant monomial

Step-by-step explanation:

Monomial means that there is only one term, so constant trinomial cannot be correct.

Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.

I hope this helps you. Have a nice day.

8 0
3 years ago
Which point lies on the graph of the equation 10y = 3x - 11?
GaryK [48]

Answer:

A. (2,-0.5)

Step-by-step explanation:

A pair of coordinates is always (x,y) so

If you insert the numbers into the equation you get

10(-0.5) = 3(2) - 11

-5 = 6 - 11

-5 = -5

Therefore (2,-0.5) is the point that likes on the graph

5 0
3 years ago
2x + 3 =-7 <br> Match equation to its solution
Blizzard [7]

Answer:

X= -5

Step-by-step explanation:

  1. You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
  2. What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
  3. Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
  4. Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

3 0
2 years ago
Read 2 more answers
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