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Leona [35]
2 years ago
15

Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.

Mathematics
1 answer:
andrey2020 [161]2 years ago
4 0
<h3>Answer:  1034.44 dollars</h3>

=====================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

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

Notes:

  • P = 1000 is the deposit or principal
  • r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
  • n = 1 represents how many times per year we're compounding the money (ie annually)
  • t = 4 = number of years
  • The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
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Special right triangles.
Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


\Rightarrow 2m^2=144


\Rightarrow m^2=72


\Rightarrow m=\sqrt{72}


\Rightarrow m=8.49


The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.


QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be d\:ft, then using the Pythagoras theorem;

d^2=90^2+90^2


d^2=8100+8100


d^2=16200


\:d=\sqrt{16200}


\:d=127.279


Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


3 0
3 years ago
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for approximately (bl
svetoff [14.1K]
The answer is 14.137 cubic inches.

For this case, the radius of whole coconut is 2.5 inches (which is 5 inches / 2).
You have to subtract the thickness of the coconut from this radius for you to get the volume of the space for coconut milk.

new radius = 2.5 - 1 = 1.5 inches

Volume = (4/3)(pi)(r^3)
= (4/3)(pi)(1.5^3)
= 14.137 cubic inches
6 0
3 years ago
What is the slope-intercept equation of this line?
Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

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

m = ( -4 -8)/(6 - 0)

    = -12/6

   = -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

7 0
3 years ago
7(y + 2) – (4y – 10) = 44 – 2y + 5<br> y = -10
andrey2020 [161]

Answer:

y=-8

Step-by-step explanation:

7(y + 2) – (4y – 10)

=7y+14-4y+10

=3y+24

3y=-24

y=-8

3 0
3 years ago
What is the highest common factor of 65 and 56?
Evgesh-ka [11]
Highest common factor of 56&65 is 1
6 0
2 years ago
Read 2 more answers
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