MATHEMATICS HIGH SCHOOL

Dominique deposited $3,000 into an account earning simple interest. The interest rate is 2.6%. How much interest will Dominique earn in 5 years? How much money will be in the account after 5 years? (assuming no new deposits SHOW THE WORK PLEASE​

Answers

Answer 1
Answer:

Answer:

$390

Step-by-step explanation:

Way 1:

$3,000 x 2.6 % = $78

$78 x 5 = $390

Way 2:

$3,000 x (2.6x5) =

$3000 x 13% =

$390

Hope that helps!

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What are three consecutive integers whoose sum of 138? Write and solve an equation with one variable.

Answers

Consecutive integers are 1 more than the other.

If one of them is x.

The three would be x, x + 1, x + 2

Since the sum are 138

x + (x + 1) + (x +2) = 138

x + x + 1 + x +2 = 138

x + x + x + 1 + 2 = 138

3x + 3 = 138

3x = 138 - 3

3x = 135

x = 135/3

x = 47.

So the numbers are, x, x + 1, x + 2, = 47,  47 + 1 = 48, 47 + 2 = 49

The integers are 47, 48, and 49.

Four brothers went to a dance. As they left, each one of the brothers accidentally took a hat belonging to another brother and a coat belonging to another, different brother. Maurice took the coat belonging to the brother whose hat got taken by Phil, while Phil's coat got taken by the brother who took Maurice's hat. Serge took John's hat. Whose coats and hats were taken by Maurice and Phil. Please tell me how you got your answer :)

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It can not be john since his hat is already taken by serge and I dont think Phil and Maurice would share his coat.
It must be the hat and coat of serge because as I already said Johns hat is already taken away by serge and Serge is the only person left that has not anything taken away yet. That is only true if Maurice and Phil do not take their own stuff. But it says they accidently grab the stuff of their brothers so it must be Serge´s.

Find three consecutive numbers whose sum is 138 by writing and solving an equation

Answers

Your 3 variables in this equation would be:
x
x+1
x+2
as you need these numbers to be consecutive. Because it is asking for the sum, you need to add these three variables and set them equal to 138:
(x)+(x+1)+(x+2)=138
At this point the parentheses don't matter, so they can be removed:
x+x+1+x+2=138
Combine like terms:
3x+3=138
Subtract the three:
3x=135
Divide 135 by 3:
x=45
Then, plug 45 back into the other two variable equations:
45+1=46
45+2= 47
Your 3 consecutive integers are 45, 46, and 47
x+x+1+x+2=138\n3x+3=138\n3x=135\nx=45\nx+1=46\nx+2=47

Those numbers are 45,46,47.

If 4 (log3 1/27)=X what is the value of X

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