What is the total amount that Matthew’s bank will receive after lending him$8,000 for four years at an interest rate of 6 percent, compounded annually?

Answers

Answer 1
It would be $10,099.82
A=8000(1+0.06/1)^4•1

Related Questions

NEED HELP!!
can someone please help me this work? I am so confused with this math problem. Thank you

Answers

Answer:

SOH CAH TOA

Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.

Opposite & Hypotenuse - Sin

Sin(45) = O/H

Sin(45) = O/4

x 4 both sides, to get Opposite

Opposite = 4 x Sin(45)

= 2 root 2

= 2.8284.......

Big Triangle next,

Opposite is 2.8284......

Y is the adjacent

Opposite & Adjacent - Tan

Tan (30) = O/A

Tan(30) = 2.8/A

x A

A x Tan(30) = 2.8

÷Tan(30)

A = 2.8 ÷ Tan(30)

A= 2 root 6

A= 4.8989...

So, y is 5 to 1 significant figure

Or

Y = 4.9 to 1d.p

(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)

Hope this helps!

28 less than twice a number is equal to the number. What is the number?

Answers

Answer:

x = 28

Step-by-step explanation:

2x - 28 = x

-2x         -2x

- 28 = - x

/-x       /-x

28 = x

x = 28

Brainliest if correct

Answers

Answer:

x=9

Step-by-step explanation:

Using the second equation (y=54), we can substitute 54 for y to solve for x...

y=6x

54=6x

Divide both sides by 6

x=9

Answer:

x = 9

Step-by-step explanation:

Since y = 54

54 = 6x

Divide both sides of the equation by the same term

54/6=6x/6

Simplify

x = 9

[RevyBreeze]

PLEASE HELP ME PLEASE

Answers

Answer:

0.75 lb potato salad = $2.22

Step-by-step explanation:

If 1 pound of potato salad = $2.96

Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22

Answer is linked below.

Answers

Answer:

- 7x² + 12x - 9

Step-by-step explanation:

Given:

A = 3x² - 7x + 8B = x² + 8x - 3C = - 5x² - 3x + 2

Find B + C - A:

B + C - A = x² + 8x - 3 + (- 5x² - 3x + 2) - (3x² - 7x + 8) = x² + 8x - 3 - 5x² - 3x + 2 - 3x² + 7x - 8 =(1 - 5 - 3)x² + (8 - 3 + 7)x + (-3 + 2 - 8) = - 7x² + 12x - 9

A = [tex]3x² - 7x + 8[/tex]

B = [tex]x² + 8x - 3[/tex]

C = [tex]-5x²-3x + 2[/tex]

Lets find B + C - A :

→ [tex]B + C - A[/tex]

→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]

→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]

→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]

→ [tex]- 7x² + 12x - 9[/tex]

help find circumference pls

Answers

Answer: 62.8

Step-by-step explanation:

2 x 3.14 x 10

Answer:

62.83

Step-by-step explanation:

2 x 3.14 is approx 62.83185 or 62.83

if im wrong let me know please.

It takes 20 minutes for a cow to be milked by a milking machine.
How many cows can be milked in 6 hours?

Answers

18 cows can be milked

Answer:

18 cows can be milked in 6 hours

Step-by-step explanation:

hrs.=3

A rock is thrown upward with an initial velocity of 16ft/sec from an initial height 5ft. How much time does it take for the rock to hit the ground?

A. -0.25sec
B. 0.5sec
C. 1.25sec
D. 1.5sec


Answer: C

Answers

The amount of time it would take for the rock to hit the ground is 1.25 seconds.

Given the following data:

Initial velocity = 16 ft/secHeight = 5 ft.

Scientific data:

Acceleration due to gravity (g) = 9.8 [tex]m/s^2[/tex]

To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:

How to calculate the time.

Mathematically, the parabolic function is given by this formula:

[tex]h(t) = -16t^2 +ut+h_0[/tex]

Where:

U is the initial velocity.a is the acceleration.[tex]h_0[/tex] is the height.t is the time.

Substituting the given parameters into the formula, we have;

[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]

Taking the positive value of t, we have:

[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]

t = 1.25 seconds.

Read more on time here: brainly.com/question/24728358

nee answer asap plz im stuck
Which point represents the least value on the number line?

Answers

So basically since they are all negative you would go down and count to see which point is higher since it’s a negative and that would be Point H -3 1/2

The water pipe of a house was leaking gallons of water per minute. What is the constant rate of water that is lost per minute according to the graph?

Answers

3 gallons per min. On the graph it shows 6 gallons every 2 minutes so if u simplify its 1/3

work out the area of the shape

Answers

Answer:

45cm^2

Step-by-step explanation:

we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together

finding the area of a square

we have area= s×s

area = 7×5

area = 35cm^2

finding the area of a triangle

1/2 ×b×h

1/2×4×5

area = 10cm^2

so we add together

total area = 35+ 10

area = 45cm^2


The price of a technology stock has risen to $9.77 today. Yesterday's price was $9.68. Find the percentage Increase. Round your answer to the nearest tenth of a percent.

Answers

0.09% increase.

Difference in price / original price

9.77 - 9.68 = 0.09
0.09/9.68 = 0.00929
Move two decimal points to the right = 0.9%

.
Solve the equation -8(x + n) = x for n.

Answers

Answer:

-x/8 - x

Step-by-step explanation:

Answer:

n = -(9/8)x

Step-by-step explanation:

Solve for n:

-8(x + n) = x-8x - 8n = x-8n = 9xn = -(9/8)x

-Chetan K

please help! thanks in advance!

Answers

It would help to know the answer choices.

But, as an inequality the domain in -5

The area of an 17-cm-wide rectangle is 357 cm2. What is its length?
The length is
cm.

Answers

Given :-

The area of a rectangle is 357 cm².It's breadth is 17cm .

To Find :-

The length of the rectangle.

Solution :-

Here the area of the rectangle is 357cm² . As we know that the area of rectangle is ,

→ Area = length * breadth

On substituting the respective values ,

→ 357 cm² = 17cm * length

→ length = 357cm²/17cm

length = 21cm

Hence the length of the rectangle is 21cm.

I hope this helps.

Refer to the attachment!

(PLEASE HURRY! will award brainliest)
Solve for x. Show your work.

Answers

Answer:

x = 8

Step-by-step explanation:

12 : 36

1 : 3

the distance is 3×, so

x = 26 ÷ 3

= 8

Your family is going on vacation to Disney. It will cost your family $987 to travel there, plus $150 per day for tickets into the park. What is the greatest number of days you can stay at Disney while staying within their $3500 budget?

Answers

Answer:

They can stay 16 days.

Step-by-step explanation:

3500 - 987 = 2,513

2,513 divided by 150 = 16.7

*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*

Checking answer:

16 x 150 = 2,400

2,400 + 987 = $3,387

- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!

Step-by-step explanation:

Equation: 987 + 150x = 3500

x represents the number of days the family is staying at the park.

Solve.

Subtract 987 from both sides:

[tex]150x = 2513[/tex]

Divide each side by 150:

[tex]x= 16.75[/tex]

16.75 is decreased to 16, it's impossible to stay for 16.75 days.

The family can stay in the park for 16 days.

A 12 sided die is rolled, find the probability of rolling a number greater than 4

Answers

Answer:

probability of rolling a number greater than 4

= 12/4 = 3

p(4) = 3

Mark as brainlest. Hope it helps...

The probability of rolling a number greater than four is 3

Identify a numerator that will make the number
sentence true.
3x blank/fifth=3

Answers

Answer:

Answer is 5

Step-by-step explanation:

You say 3 divided by 3 /5 = 5

Hope answer helps you

Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.

100 – (12(3x))
100 – (3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 – (x+x+x) – 12

Answers

Answer:

B, C, E

100 - (3x+12)

(100 - 12) - 3x

100 - (x+x+x) - 12

Step-by-step explanation:

they are all saying the same thing, just rearranged and the last one is 3x expanded

Hunter and Christopher were analyzing the graph shown . Both students identified the function to be represented by the, d=13h-75, where d is the amount of money in a checking account and h is the number of hours worked. Hunter explained the equation represented an original amount of $75 that decreased $13 for every hour. Christopher disagreed. He interpreted the equation as a person who was in debt $75 earned $13 every hour.

Answers

Using linear function concepts, it is found that Christopher is correct.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.

In this problem, the function is:

[tex]d = 13h - 75[/tex]

Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:

For each hour worked, the person earns $13.Considering taxes, the person starts at a debt of $75.

Hence, Christopher is correct.

You can learn more about linear function concepts at https://brainly.com/question/24808124

12. What number is 20% less than 60?

Answers

The amount rupees 48 is 20% less than rupees 60.

Answer:

48

Step-by-step explanation:

Step 1: Multiply 20 by 0.6

20 × 0.612

Step 2: Subtract 12 from 60.

60 - 1248

A restaurant owner washed 87 kilograms of vegetables, some spinach and some carrots. The spinach came in 5-kilogram bags and the carrots came in 7-kilogram bags. The owner washed 15 bags of vegetables in all. How many bags of each kind did he wash?

Answers

Answer:

9 bags pf spinach, 6 bags of carrots

Step-by-step explanation:

x bags of spinach, y bags of carrots,

x + y = 15                 (1)

weight of spinach = 5 * x, weight of carrots = 7 * x

5x + 7y = 87           (2)

From (1) y = 15 - x

Sub it into (2):

5x + 7(15 - x) = 87

5x + 105 - 7x = 87

2x = 105 - 87 = 18

x = 9

y = 15 - x = 15 - 9 = 6

So 9 bags pf spinach, 6 bags of carrots.

The locations of three fish relative to the water's surface are - 17 feet, - 10 feet, and -19 feet.
There is also a bird flying 12 feet above the water. Which distance has the least absolute value?

Answers

Answer:

-10

Step-by-step explanation:

I think you are asking which is the least distance from 0 which would just be -10

how do you do this as i get 42
46-2⁴÷(3-1)​

Answers

Answer:

38

Step-by-step explanation:

[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]

first calculate whats in the brackets.

then divide

and lastly subtract

can I have help pls

Answers

Answer:

  D. II only

Step-by-step explanation:

The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)

The rational equation will result in a quadratic when it is simplified. It will have two real solutions.

Only equation II will have two real solutions.

Please help! 25 points

Answers

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

Julia pays $4.56 to ship a package that weighs 8 ounces. What is the cost to ship one ounce?

Answers

Answer:

1.7543859649. . . . . . . .. .

Answer:

$0.57

Step-by-step explanation:

$4.56/8 = 0.57

so the cost to ship one ounce is $0.57

NEED HELP ASAP

Which statement correctly explains the association in the scatter plot?

Answers

Answer:

Negative relationship

Step-by-step explanation:

It is going in a negative direction.

Pls mark brainliest :)

Solve the proportion 3/4 = 9/x

Answers

3/4 = 9/x
Cross-multiply.
3/4 = 9/x
3 * x = (9) * (4)
3x = 36
Divide both sides by 3.
3x/3 = 36/3
x = 12
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