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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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If integral 1 to 5 f(x)dx =36/15 what is the value of integral from 5 to 1 f(x)dx?<br><br><br>​
fredd [130]

Answer:

  -36/15

Step-by-step explanation:

If the indefinite integral of f(x)dx is F(x), then your integral from 1 to 5 is ...

  F(5) -F(1) = 36/15

The integral in the reverse direction is ...

  F(1) -F(5) = -(F(5) -F(1)) = -36/15

6 0
3 years ago
?<br><br>2 to the 3rd power - 5 x (6 + 4) ÷ 2<br><br>show your work​
Delvig [45]

Answer:

-17

Step-by-step explanation:

2^3 - 5 * (6 + 4) ÷ 2

Following PEMDAS, we must focus on the parenthesis first.

2^3 - 5 * (6 + 4) ÷ 2

2^3 - 5 * (10) ÷ 2

Now we will focus on the exponent:

2^3 - 5 * 10 ÷ 2

8 - 5 * 10 ÷ 2

Now Multiplication/Division.

This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.

8 - 5 * 10 ÷ 2

8 - 50 ÷ 2

Next, Divide:

8 - 50 ÷ 2

8 - 25

Subtract:

8 - 25

-17

2^3 - 5 * (6 + 4) ÷ 2 = -17.

4 0
3 years ago
Read 2 more answers
12.) Write y = 1/6 x + 7 in standard form using integers.
Trava [24]

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write y = \frac{1}{6}x+7 in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

y = \frac{1}{6}x+7

Let us convert the above equation into standard form

y = \frac{x}{6} + 7

y = \frac{x}{6} + \frac{7}{1}

Make the denominator same in R.H.S

y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}

Solve the above equation

y = \frac{x}{6} + \frac{42}{6}

y = \frac{x+42}{6}

Move 6 from R.H.S to L.H.S

6y = x + 42

Bring all the terms to one side, leaving only constant on R.H.S

-x + 6y = 42

The above equation is of form Ax + By = C

Thus option A is correct

3 0
3 years ago
The coldest temperature recorded in Alaska was –80°F. This was 10°F warmer than the coldest temperature recorded in Siberia. Whi
Klio2033 [76]

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10  =  -80

Let the coldest temperature in Alaska be x

The coldest temperature recorded in Alaska was –80°F

x  =  –80°F

Let the coldest temperature in Siberia be y

The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia

This can be interpreted as:

Coldest temperature in Alaska  =  Coldest temperature in Siberia  +  10

x    =  y   +   10................(*)

Since x = -80

Substitute x = -80 into equation (*)

-80   =   y    +   10

This can be re-written as:

y  +  10   =   -80

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10  =  -80

Learn more here: brainly.com/question/2159099

7 0
2 years ago
How would you write out 3 x 6 + 7 x 4 = 46?
aleksandrvk [35]

Answer:

dceoi  hchis hurhgj

Step-by-step explanatiicdeon:

4 0
2 years ago
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