The sum of 3 consecutive integers is -192. What is the middle number?
Answers
therefore the numbers must be -63, -64, and -65
the middle number is -64 :)
i hope this helps
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What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of 5 percent, compounded annually?
Answers
Interest= PNR/ 100.
where P is the principal
R is the rate of Interest
N is the no of years the sum has been invested for.
Since N is not given we assume that to be 1
Therefore we have
10x /100 + (7000 -x)*7/100= 580
Multiplying both sides by 100
10x+(7000-x)*7 = 58000
simplifying
10x+ 49000 - 7x = 58000
3x = 58000-49000
3x = 9000
x= 3000
therefore the sum of money invested at 7% = 7000 - 3000 = 4000
Final answer:
Using the given conditions, we establish two equations. The first from the total invested amount which of 7000 dollars and the second from the total interest of $580. We solve the system of equations to find the value of x, which signifies the amount invested at 10%. The rest of the money (7000 - x) was invested at 7%.
Explanation:
To solve this problem, we need to set up two equations based on the information given. These equations can be set up with the following assumptions: let us denote the amount of money invested at 10% as x and at 7% as 7000 - x.
- First equation would be derived from the total amount invested which was $7000, so x + (7000 - x) equals to 7000.
- The second equation can be established from the total interest which was $580, so 0.10x + 0.07(7000 - x) equals to 580.
Solve the system of these two equations to find the value of x. The solution will yield the amount that was invested at 10%. The rest of the $7000, that is (7000 - x), was invested at 7%, which is what we're looking for.
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Answers
Answer:
Given equation is:
x/4 = 16
Multiply both side of equation by 4
4* x/4 = 16*4
x= 64
Step-by-step explanation:
This is called Multiplication property of Equality.
If you multiply equation by a number on both sides, it remain same or balance.
Final answer:
The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.
Explanation:
To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.
Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.
The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.
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Answers
Answer:
it is D i took the test have proof below
Step-by-step explanation:
Answers
(y2 -y1) / (x2 - x1) = slope
so (3 - 4) / ( -6 - 5) = -1/ -11 so the slope of the line is 1/11
Now you write y = mx + b then substitute in one of the points with x and y
4 = (1/11)(5) + b
4 = 5/11 + b
-5/11= - 5/11 change the 4 into 44/ 11 and subtract
44 / 11 - 5/11= b
39/11 = b now it depends on your teacher and text
usually, you can substitute the fraction for your b
y = mx + b
y = 1/11 x + 39/11 so this is your answer
Does that make sense or did I make a mathematical error?
x - 11y + 39 = 0;
Answers
Answer:
The last option 15,000 grams is correct.
Step-by-step explanation:
How many grams are in 15 kilograms?
We must know the relation between kilograms and grams.
1 kg = 1000 grams.
Now we have been asked to calculate the grams in 15 kilograms.
So, 15 kilograms has = grams
Therefore, the last option 15,000 grams is correct.
Answers
3x + 2y = -12
-----------------add
3y = - 9
y = -9/3
y = -3
3x + 2y = -12
3x + 2(-3) = -12
3x - 6 = -12
3x = -12 + 6
3x = - 6
x = -6/3
x = -2
solution is (-2,-3)