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egoroff_w [7]
3 years ago
5

You deposit $400 in an account earning 6% interest compounded annually. How much will you have in the account in 10 years?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

$716.34

Step-by-step explanation:

The Simple formula for compound interest:

P(1+\frac{r}{100} )^t

P = Principle Amount

r = Rate

t = Time

Substituting the numbers into the formula:

400(1+\frac{6}{100} )^{10}

= 716.339078617

≈ $716.34 (Rounded off to two decimal places)

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Studentka2010 [4]
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with volume 8000cm3 = 8000^(1/3)= 20 m
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Stan H.</span>8000=S^3<span>8000=20^3
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3 0
3 years ago
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p
k0ka [10]

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%

So, the profit percentage is 33.34%.

7 0
2 years ago
Find the approximate radius of a sphere with a surface area of 400 square inches.
Simora [160]
The equation for surface area of a sphere is SA=4*pi*r^2
We can plug in what we know to solve for r
400=4*pi*r^2
100=pi*r^2 (divide out the 4)
100/pi=r^2 (divide out the pi)
√(100/pi)=r (square root of both sides)
r=5.6 rounded to the nearest tenth
7 0
3 years ago
A triangle has sides with lengths of 5 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
Crank

Answer:

It is not.

Step-by-step explanation:

Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.

4 0
3 years ago
Solve system of equation algebraically <br> y = 2x - 3<br> x + y = 18
natima [27]

Answer:

x = 7

y = 11

Step-by-step explanation:

Given the system;

y = 2x - 3

x + y = 18

1. Approach

The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.

2. Solve one of the equations for a variable

Manipulate the system such that each equation is solved for the same variable,

x + y = 18

Inverse operations,

x + y = 18

-18        -18

x + y - 18 = 0

   -y         -y

x - 18 = -y

3. Use elimination

Now substitute this back into the original system,

y = 2x - 3

-y = x - 18

Add the systems,

y = 2x - 3

-y = x - 18

_________

0 = 3x - 21

Inverse operations,

0 = 3x - 21

+21       +21

21 = 3x

/3    /3

7 = x

4. Find the value of the unknown variable

Backsovle to find the value of (y),

x + y = 18

Substitute,

7 + y = 18

Inverse operations,

7 + y = 18

-7        -7

y = 11

3 0
3 years ago
Read 2 more answers
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