A man invests a sum of money ($8,000) in a bank that offers a rate of 5%. He invests the money for 2 years. Calculate the amount of money in the bank at the end of the 2-year period if invested at:
(a) simple interest
(b) compound interest.
Question 6 (6 marks)
The diameter of a circle is 10 cm (as shown in the diagram). Use π = 3.14 Calculate to 2 decimal places, the:
(a) circumference
(b) area

Answer:

Choice a 10 cm

Step-by-step explanation:

Volume of a sphere; 4/3 x 3.14(r^3)

Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)

!!!used an online calculator for this!!!

Choice a: 4188.79

Choice b: 50965.01

Choice c: 38792.39

Choice d: 5575.2

Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.

I really hope this helps!!

Please rate!!

Have a wonderful day!!

Answer:

I would choose the $400 raise

Step-by-step explanation:

Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.

If it was a 10% raise you would get $200 dollar raise

If it was 8% raise you would get $160 dollar raise

And if it was a 5% raise you would get a $100 dollar raise

Answer:

1996

Step-by-step explanation:

because the line chart started st 1996

Answer:

Side A is 4

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

a = √(c² - b²)

a= √(5² -3b²)=4

Answer:

25.1

Step-by-step explanation:

for perimeter you just add them all together

Answer:

that's 4 and 7 .............

Answer:

Answer:

Step-by-step explanation:

Anything going from lower left to upper right is a positive slope.

The lines are not easily seen. My best estimate is that one point is (2,5)

Use the two points you are sure of.

(0,-1) and (1,2)

Givens

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - - 1) / (1 - 0)

m = 3/1

m = 3

Answer: 10.62 irrational

Step-by-step explanation: You can divide 69.15 by 5.25 which equals 74.4 then divide by 7 which equals 10.62

Answer:

Step-by-step explanation:

congruent sides

Answer:

soIve the congcreunt sides

Step-by-step explanation:

then ask ur parents

Answer:

Step-by-step explanation:

Refer to the definition of a function. I'll just give you a layman's definition to be concise.

For something to be a function, there needs to be exactly 1 output for every input. You cannot have a case where you input 1 value, and get 2 or more values as an output.

In math we call all the possible input values the domain, and we call all the possible output values the range.

Let's take a look at each situation on your worksheet.

1. Is a function. This is because only one arrow stems from each input value. There are cases where the different input values give the same output, sure, but each input returns 1 discrete thing, not an array of things.

(Think of it this way, if i had a machine that could answer any question I had with yes, no or maybe. I wouldn't want the machine to give me "yes and maybe" or "yes and no" as the result when I ask it a question. That doesn't make sense and I would think the machine is broken. What could happen, is that I ask the machine different questions, and for those different questions, it gave me the same answer, like "yes" and "yes" respectively. in that case, it would be acceptable, because it isn't contradicting itself for any individual question.)

2. Not a function. There are 2 different output values for b.

(Refer back to my machine analogy. The "machine" in this question is contradicting itself. I gave the machine one input, and the machine is telling me, "it's this and actually it's this other thing too")

3. Is a function for the same reasons as 1.

4. Isn't a function.

(It's basically telling you, the machine reads -6 as -4, but it also reads -6 as 0, and also 2. And it also tells you the machine reads -4 as -3, but it also reads it as 8. Again, the machine should only read 1 input in 1 way and not contradict itself. )

Answer:

945 in²

Step-by-step explanation:

The scale factor of two figures is k.

The scale factor of their surface areas is k².

The scale factor of their volumes is k³.

1024 in² / 576 in² = 16/9 = k²

k = √(16/9) = 4/3

k³ = (4/3)³

k³ = 64/27

2240 in³ × 27/64 = 945 in²

The value of the hypotenuse y will be equal to y = 2.8 inches.

The volume of the prism is equal to the product of the area of its base and the height of the prism.

[tex]\rm V=Area \ of\ triangular \ base\times Height \ of \ prism[/tex]

The volume oif the prism is =4 cubic inches

Height of the prism = x inches

Base of the right angle isosceles triangle will be =x inches

The hypotenuse is given = y

Now

[tex]\rm V=\dfrac{1}{2}\times Base\times Height \times height \ of \ prism[/tex]

[tex]V=\dfrac{1}{2} \times x \times x \times x[/tex]

[tex]x^3=8[/tex]

[tex]x=2[/tex]

Now by pythagorus theorem

[tex]y^2=h^2+b^2[/tex]

[tex]y^2=x^2+x^2[/tex]

[tex]y^2=2x^2=2\times 2^2[/tex]

[tex]y=2\sqrt{2}=2.82[/tex]

Thus the value of the hypotenuse y will be equal to y = 2.8 inches.

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Answer:

2.8 INCHES

Step-by-step explanation:

Answer:

59.319

Step-by-step explanation:

V=a3=3.93≈59.319

22 + 22 x r = 30

22 x r = 30 - 22

r = 8 : 22

r = +36,36%

r = increase rate

Answer:

256x^8

Step-by-step explanation:

Hope this helped

Maybe mark brainiest?

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

3x+y=8 and 6x+2y=10

x=8-y/3

Solve.

Rewrite the problem down.

6*8-y/3+2y=10

Then, solve.

16=10

Therefore, the final answer is no solution.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

5x/1/2 = 1x



answer  1.12 <3


hope it helps


use brainly<3

Step-by-step explanation:

The average squared distance between the points is their variance

The average squared distance is 8/3

The given parameters are:

R={(x,y): 0<=x<=2, 0<=y<=2}

The point = (2,2).

f(x,y) = (x-2)² + (y-2)²

The squared distance is calculated as:

D² = f(x,y) = (x-2)² + (y-2)²

Where the area (A) is:

A = xy

Substitute the maximum values of x and y in A = xy

A = 2 * 2

A = 4

The minimum values of x and y are 0.

So, the limits for the integrals are 0 to 2

The integral becomes

[tex]D\² = \int \int (x-2)\² + (y-2)\² dx dy[/tex]

Expand

[tex]D\² = \int \int x\² -4x + 4 + (y-2)\² dx dy[/tex]

Evaluate the inner integral with respect to x from 0 to 2

[tex]D\² = \int \frac 13x^3 -2x^2 + 4x + x(y-2)\² |\limits^2_0 dy[/tex]

Expand

[tex]D\² = \int [\frac 13(2)^3 -2(2)^2 + 4(2) + (2)(y-2)\²] dy[/tex]

Simplify

[tex]D\² = \int \frac 83 + (2)(y-2)\² dy[/tex]

Expand

[tex]D\² = \int \frac 83 + 2y^2-8y + 8 \ dy[/tex]

Evaluate the integral with respect to y from 0 to 2

[tex]D\² = [\frac 83y + \frac 23y^3- 4y^2 + 8y ]|\limits^2_0[/tex]

Expand

[tex]D\² = \frac 83*2 + \frac 23*2^3- 4*2^2 + 8*2[/tex]

D² = 32/3

The average squared distance (AD²) is calculated as:

AD² = D²/A

So, we have:

AD² = 32/3 [tex]\div[/tex] 4

Evaluate the quotient

AD² = 32/12

Simplify

AD² = 8/3

Hence, the average squared distance is 8/3

Read more about average distance or variance at:

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The average squared distance between the points of R = {(x,y): 0<=x<= h, 0<=y<=k } is 8/3.

How do determine the average squared distance?

From the given parameters R = {(x,y): 0<=x<= h, 0<=y<=k }

The squared distance from point (h, k) is calculated as

D² = f(x,y) = (x-2)² + (y-2)²

Where the area (A) will be

A = xy

Substitute the maximum values of x and y

A = 2 × 2 = 4

The minimum values of x and y are 0.

So, The integral becomes

[tex]D^{2} = \int \int(x-2)^2 +(y-2)^2 dx dy\\\\D^{2} = \int \int\limits^2_0 (x)^2 -4x + 4+(y-2)^2 dx dy\\\\D^{2} = \int1/3(x)^3-2x^{2} +4x + 4+x(y-2)^2 dy\\\\D^{2} = \int8/3+2y^{2} -8y +8 dy[/tex]

[tex]D^2 = {8/3y +2/3y^2 -4y^2+8y[/tex]

By expanding we get,

D^2 = 32/3

The average squared distance (AD²) is calculated as:

AD² = D²/A

AD² = 32/3  4

AD² = 32/12

AD² = 8/3

Hence, the average squared distance is 8/3

Read more about average distance;

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Answer:

answer is 16.5

Step-by-step explanation:

answer is 16.5

Answer:

The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10

Step-by-step explanation:

[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]

[tex]y = 10[/tex]

Answer:

Step-by-step explanation:

k (a+b) = k*a + k*b

so

7 (4-x) = 7*4 + 7*(-x) = 28 - 7x

Answer:

please rate and mark as brainlest.

Step-by-step explanation:

(i) 1/20

(ii)

a.708.22

b.8635.4

c.147.392

please rate and mark as brainlest.

Using an exponential function, it is found that the amounts deposited at the end of each month are given by:

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:

[tex]A(t) = 100(1.1)^t[/tex]

Then, for each of the first four months:

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

60 cm

Step-by-step explanation:

The perimeter of a polygon means adding up all the side lengths.

In this case, we need to add up 13, 12, 8, 8, and 19

Adding all of these gets us 60

Answer: A, TRUST ME!

Step-by-step explanation:

Answer:

The quotient of these numbers is 1.7 × 10⁴

Scientifically in the notion, these would be the correct numbers.

The quotient of the given numbers is 1.7×10⁴.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given numbers are 7.14×10⁷ and 4.2×10³.

Here, quotient = 7.14×10⁷ ÷ 4.2×10³

= 1.7×10⁴

Therefore, the quotient of the given numbers is 1.7×10⁴.

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a = 2, b = -18, c = 40

[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]

[tex]and\ f(-1)=60[/tex]

[tex]Tofind:\ a,\ b,\ c[/tex]

[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]

[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]

[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]

[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]

[tex]subtracting\ (1)\ from\ (2)[/tex]

[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]

[tex]subtracting\ (3)\ from(2):[/tex]

[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]

[tex]putting\ b=-9a[/tex]

[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]

[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]

[tex]b=-9a=-9\times2=-18[/tex]

[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]

I hope this helps you

:)

For the function f(x), the practical domain will be [0 min, 165 min]

We define the practical domain as the section of the domain that has practical meaning.

In this case, the part of the domain that we care about is only when the rock climber is on the mountain.

After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]

If you want to learn more about domains, you can read:

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