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

Answers

Answer 1

Answer:

(a) 8000 times 5 times 2 = 800


Related Questions

Alex constructs a circle that passes through all three vertices of the triangle shown.
E
Where will the center of the circle be located?

Answers

Answer: A, TRUST ME!

Step-by-step explanation:

4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5

Answers

Answer:

25.1

Step-by-step explanation:

for perimeter you just add them all together

What is the quotient of 7.14 x 10^7 and 4.2 x 10^3 expressed in scientific notation?

Answers

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.

What is scientific notation?

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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What is the coefficient for the 5th term of (2x-y)^8

Answers

Answer:

256x^8

Step-by-step explanation:

Hope this helped

Maybe mark brainiest?

Marvin is saving $5.25 a week to buy a new video game that costs 69.15. How many
weeks will he have to save to buy the game?

Answers

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

Nick did 780 push-ups in 30 days, how many push-ups did he do each day?Show all work and explain how you came to your answer.

Answers

780 divided by 30 = 26

Nick did 26 push-ups each day.

The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.

Answers

22 + 22 x r = 30

22 x r = 30 - 22

r = 8 : 22

r = +36,36%

r = increase rate

please help me out with this I will give brainliest if the answer is right ​

Answers

Steps
1) Add all the sides
8+8+13+19+12
2) Answer
60 cm

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

Select all ordered pairs that could be added to this relationship and keep it a function:

(-2, -5) (0, -1) (1, 1) (4, 7)

Answers

Answer:

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

please help asap



For each relation, decide whether or not it is a function. ​

Answers

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. )

The function f(x) equals the number of feet above sea level a rock climber is at x
minutes. After 45 minutes the climber reaches his maximum height of 800ft. above
sea level. He stays on the mountain for 2 hours.
What is the practical domain of f(x)?

Answers

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

What is the practical domain?

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.

In this case, we assume that the climb starts at x = 0 minutes.After 45 minutes, the climber reaches the top, at x = 45 minutes.And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.

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

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travis measured 5 different-colored pencils to the nearest inch, 1/2 inch, and 1/4 inch. He records the measurements in the chart below. He draws a star next to the measurements that are exact.

Answers

Answer:

5x/1/2 = 1x



answer  1.12 <3


hope it helps


use brainly<3

Step-by-step explanation:

Which of the following can be written as an expression? Select all that apply.

Half the difference of 5 and 3
7 is less than twice x.
Five and a half times x is 44.
Twice the product of 3 and 8
5 less than x

Answers

Answer:

5-3/22x-75 1/2x = 442(3x8)X-5

Miranda deposits $100 into a savings account. she decides that she will make one deposit at the end of each month and that she will increase the amount that she deposits by 10% each month.


a. complete the table to show the amount of money miranda deposits at the end of each month for the first 4 months

Answers

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

At the end of the first month, she deposits $110.At the end of the second month, she deposits $121.At the end of the third month, she deposits $133.1.At the end of the fourth month, she deposits $146.41.

What is an exponential function?

An increasing exponential function is modeled by:

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

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

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:

[tex]A(1) = 100(1.1)^1 = 110[/tex][tex]A(2) = 100(1.1)^2 = 121[/tex][tex]A(3) = 100(1.1)^3 = 133.1[/tex][tex]A(4) = 100(1.1)^4 = 146.41[/tex]

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

Find the average squared distance between the points of r{(x,y): 0x, 0y} and the point (,)

Answers

The average squared distance between the points is their variance

The average squared distance is 8/3

How to determine the average squared distance?

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

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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

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(i) Express 0•05 as a common fraction.

(ii) Find the sum of the following;
a. 673•3 + 34•92
b. 6095 + 2540•40
c. 141 + 6•392​

Answers

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.

suppose that you are offered a job that pays you $2000 the first month with a raise every month after that. you can choose a 400$ raise or a 15% raise. which option would you choose? what if the raise were 10%,8% or 5%

Answers

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

BRAINLIEST For the fastest answer
Hello I need help on this math question​

Answers

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!!

The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 576 in^2
SA= 1024 in^2
V= 2240 in^3

Answers

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 volume of the triangular block is 4 cubic inches. A triangular prism has a volume of 4 cubic inches. The right triangle bases have side lengths of x and a hypotenuse length of y. THe height of the prism is x. What is the approximate length of y? Round to the nearest tenth of an inch. 1. 4 in. 2. 0 in. 2. 8 in. 3. 5 in.

Answers

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

What is volume of prism?

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:

C.between which years would you guess the new stadium was built .explain your reasoning

Answers

Answer:

1996

Step-by-step explanation:

because the line chart started st 1996

Can someone please help me with this? It's urgent! I need to turn it in tomorrow, please

Answers

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

x1 = 0x2 = 1y1 = - 1y2 = 2

Formula

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

Solution

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

m = 3/1

m = 3

(Geometry)
I don’t know how to prove this

Answers

Answer:

Step-by-step explanation:

congruent sides

Answer:

soIve the congcreunt sides

Step-by-step explanation:

then ask ur parents

7(4-x) how do I do this problem

Answers

Answer:

28-7x

Step-by-step explanation:

You distribute 7 and 4 and 7 and the x

Hopes this helps.

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

so

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

Pls help!!

Question:

The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.

Answers

Answer:

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

Step-by-step explanation:

[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

:)

Suppose the two-variable equation

y = 600 + 10x

models the cost y of manufacturing x flash drives. If the company spends $9000 on manufacturing flash drives, then to find how many drives were manufactured, we solve the equation

Answers

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]

What is the value of X?

A) 17
B) 16
C) 16.5
D) 15

Answers

Answer:

answer is 16.5

Step-by-step explanation:

answer is 16.5

Determine the solution to each linear system by using the substitution method
3x+y=8
6x+2y=10

Answers

Answer:

No solution.

Step-by-step explanation:

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

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

3x+y=8

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.

What is the answer to this?

Answers

Answer:

59.319

Step-by-step explanation:

V=a3=3.93≈59.319

Find the length of side a.

A. 4

B. 2

C. 34

D. 16

Answers

Answer:

Side A is 4

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

a = √(c² - b²)

a= √(5² -3b²)=4

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