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4 years ago

Suppose that $1,000 is deposited into an account that yields

1 answer:

6 0

ANSWER : $1,215.51

P= Principal = $1000
R= rate = 5% = 0.05
N= number or periods in 1 year (1 time pre year)
T= time expressed in years = 4 years

A= P (1 + r/n) nxt
= 1,000 (1+ 0.05/1) 1x4
= 1,215.51

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Acceleration is sometimes expressed in multiples of g, where is the acceleration of an object due to the earth's gravity. In a c

katen-ka-za [31]

<h2>Answer:</h2>

Driver experiences 17.68 G's on an average.

<h2>Step-by-step explanation:</h2>

In the question,

We know that in a car crash the speed of the car goes from the speed of 26 m/s to 0 m/s in 0.15 seconds.

So,

The final speed, v = 0 m/s

Initial speed, u = 26 m/s

Also,

Time in seconds, t = 0.15 s

So,

Using the equation of law of the motion, we get,

v = u + at

0 = 26 + a(0.15)

a = -26/0.15

a = -173.33 m/s²

As, there is deceleration of the car is taking place the acceleration is in negative.

Now,

To convert it into the force in the G's we need to divide the deceleration by the acceleration (gravity), g.

So,

G's experienced by the driver on an average is given by,

$\frac{173.33}{9.8}=17.68$

Therefore, on an average the driver experiences 17.68 G's.

3 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

Maria bought seven boxes a week later half of all her boxes were destroyed in a fire there are only 22 boxes left with how many

OlgaM077 [116]

Answer:

Step-by-step explanation:

she started off with 44 boxes

8 0

3 years ago

You earn $18 for watching three cars how much do you earn to Washing 2 cars

Sever21 [200]

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

6 0

3 years ago

Help more than 10 points

Drupady [299]

Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in

ratios give
h = 7(8)/8
h = 7

b = 8/2
b = 4

Area Triangle = 0.5(7)(4)
= 14

Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²

3 0

4 years ago