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katrin2010 [14]
3 years ago
14

the expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for

2 years. What is the value of a $1000 investment at the end of each year ?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer:

Year 1: $1,100

Year 2: $ 1,210

Step-by-step explanation:

The given expresion is:

1000(1.1)^{t}

This represents the value of a $1000 investment that earns 10% interest per year, compounded annually for 2 years.

To find the value of a $1000 investment at the end of the first year , we substitute t=1.

1000(1.1)^{1}  = 1100 \: dollars

To find the value of a $1000 investment at the end of the second year , we substitute t=2.

1000( {1.1)}^{2}  = 1210 \: dollars

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The x intercept is -3, and the y intercept is -2

Step-by-step explanation:

The equation given is 4x+6y= -12

Rewrite the equation in slope intercept form of y=mx +c where c is the y intercept

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6y=-4x-12

y= -4/6 x -12/6

y=-2/3x -2

c= -2

To get x intercept replace value of y in the equation with 0;

y= -2/3 x -2

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2= -2/3 x

2*3=-2x

6=-2x

6/-2 =x

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Verify the identity<br><br> cos quantity x plus pi divided by two = -sin x
In-s [12.5K]

Answer:

Identity is verified.

Step-by-step explanation:

We have to verify the identity cos(x+\frac{\pi }{2}) = (- sinx)

To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.

In this identity we take the left hand side first

cos(x+\frac{\pi}{2})

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if you had a block of each type of wood with the same dimensions,how would their weights compare?explain?
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If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

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

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

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Therefore, his work should be

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Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

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                          -----------------------

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Dividing 30 by 5, we get answer as '6'. Hence,

                            x=\frac{30}{5} = 6

So, stated the above two are the mistakes found in carlos work.

4 0
3 years ago
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