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Leokris [45]
3 years ago
15

Chelsea invested %5600 at a rate of 3.6% compounded quarterly. Write a compound interest function to model the situation. Then f

ind the balance after 6 years.
Mathematics
1 answer:
grigory [225]3 years ago
5 0
3.6% compounded quarterly=.036/4=0.009 per period
FV=5600(1+.009)^4y where FV=future value, and y is time, in years. So:
FV(6)=5600(1.009)^4(6)=5600(1.009)^24=$6943.46
☺☺☺☺
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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?
jok3333 [9.3K]

Answer:

\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have the slope m=\dfrac{1}{2} and the point (-2, 4).

Substitute:

y-4=\dfrac{1}{2}(x-(-2))

y-4=\dfrac{1}{2}(x+2) - point-slope form

Convert to the slope-intercept form (y = mx + b):

y-4=\dfrac{1}{2}(x+2)      <em>   use the distributive property</em>

y-4=\dfrac{1}{2}x+1         <em>add 4 to both sides</em>

y=\dfrac{1}{2}x+5 - slope-intercept form

3 0
3 years ago
A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are a
Anika [276]

Answer:

The surface = pi*10cm2

Step-by-step explanation:

The area of any rectangle is Base *  Height,

We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.

The length of a circle is 2*pi*Radio= pi*Diameter.

Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi

The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi

 

6 0
3 years ago
Use the grouping method to factor x^3+x^2+3x+3
maks197457 [2]

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

7 0
2 years ago
The absolute values of two numbers that are additive inverses will ____________ be the same.
zhannawk [14.2K]

Answer:

A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.

Step-by-step explanation:

Hope this helps!!

7 0
2 years ago
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What does 3√2 mean is it to multiply he square root ?
NNADVOKAT [17]

Answer: Yes, it means 3 times the square root of 2. First, find the square root of 2. Then multiply that value by 3. You can also type it into a calculator, and it will give you the exact value.

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2 years ago
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