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Vikki [24]
3 years ago
5

$500.00 is deposited in an account that pays 3.5% compounded quarterly. what will the balance be after 12 years

Mathematics
1 answer:
inysia [295]3 years ago
4 0
The balance of the deposited account after 12 years is calculated as follows:
a = p(1 +  \frac{r}{n} )^{nt}\\ a = 500(1 +  \frac{0.035}{4} )^{4(12)} \\ a = 500(1 +  0.00875 )^{48}
a = 500(1.00875 )^{48} \\ a = 759.59

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If 6m by 15m is a pond ,is 40m would be enough for fencing the pond
Veseljchak [2.6K]
If the pond were a rectangle, then:
length=15 m
width=6 m

We would have to calculate the perimeter of this rectangle.
Perimeter of a rectangle=2(length)+2(width)

Perimeter of this rectangle=2(15 m)+2(6 m)=30 m+12 m=42 m

We need 42 m and I only have 40 m, therefore, it would not be enough for fencing the pond. 
4 0
3 years ago
In ΔSTU, s = 50 inches, t = 58 inches and u=27 inches. Find the measure of ∠S to the nearest 10th of a degree.
Mandarinka [93]

Step-by-step explanation:

By Cosine rule, we have

s² = t² + u² - 2(t)(u)(cosS)

=> cosS = (t² + u² - s²)/2tu

=> cosS = (58² + 27² - 50²) / (2 * 58 * 27) = 0.5086.

Therefore S = cos^-1(0.5086) = 59.4° (1d.p.)

4 0
3 years ago
Read 2 more answers
A <br> is a number formed by multiplying ten by a number.
PIT_PIT [208]

I'm not really sure what the question is here, because you just gave a statement... but if you are trying to get an expression from words, here is what it would be:

A = 10N

I'm also not sure if "a number" is equal to the same as "a number" at the end, but I'm guessing not. If it is though, and you're trying to find the value of A, the answer would be:

A = 10

<em>*</em><em>Please provide the question you are asking here, not just statements, next time, so that people can help you.</em>

<em />

I hope this helped :)

3 0
3 years ago
What is 7/3 times 2/3 multiplied in simplest form
Sav [38]
Multiplying fractions is simple. You just multiply across so 7/3 x 2/3 is 14/9 and that is the simplest form.
4 0
3 years ago
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If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will
Tema [17]

Answer:

Hence after  3.98 sec  i.e  4 sec Object will hit the ground  .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

<em>This problem is related to projectile motion for objec</em>t

First calculate the Range for object  and it is given by ,

R=v^2Sin(2Ф)/g

Here R= range  g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

R=133^2*Sin(56)/31.36

R=14664.84/31.36

R=467.62  fts

Now using Formula for time and range as

R=VxT

Vx is horizontal velocity

Vx=V*cosФ

Vx=133*cos(28)

Vx=117.43  ft/sec

So above equation becomes as ,

467.62=117.43*T

T=467.62/117.43

T=3.98 sec

T is approximately equals to 4 sec.

4 0
4 years ago
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