If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?

miskamm [114]

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

7 0

3 years ago

Need help with this question

alexgriva [62]

Answer:

4 : 3

Step-by-step explanation:

QRS to VUT

$\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9$

$\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}$

3 0

3 years ago

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Which statements are true?

meriva

Answer:

All rhombuses are rectangles. False

All parallelograms are quadrilaterals. True

All squares are rhombuses. True

All rectangles are squares. False

4 0

3 years ago

Which is the graph of fx x2 2x 3

photoshop1234 [79]

In the picture we can see the graph represents of the function f(x)=x²-2x+3 that is curve graph.

Given that,

We have to find the graph represents the function f(x)=x²-2x+3.

We know that,

The quadratic function is f(x)=x²-2x+3.

This is a vertical parabola open downward

The vertex is a maximum

We know,

A vertical parabola's equation in vertex form is equal to

y= a(x-h)²+k

where

a is a coefficient

(h,k) is the vertex

Here

a=1

(h,k)=(0,3) is vertex

The y-intercept is the point (0,3) is value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points is values of x when the value of y is equal to zero

Therefore, In the picture we can see the graph represents of the function f(x)=x²-2x+3.

To learn more about function visit: brainly.com/question/9554035

#SPJ4

7 0

1 year ago

The height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters. The height of a second right circula

melomori [17]

Answer:

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3><h3>Hence $V_2=3\times V_1$ </h3>

Step-by-step explanation:

Given that the height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters.

Let $h_1,r_1$ be the height and radius of the first right circular cylinder respectively.

∴ $h_1=6 cm$ and $r_1=3 cm$

The height of a second right circular cylinder is 18 centimeters and its radius is 3 centimeters.

Let $h_2,r_2$ be the height and radius of the second right circular cylinder respectively.

∴ $h_1=18 cm$ and $r_1=3 cm$

<h3>To find the volume of the second cylinder is how many times as large as the volume of the first cylinder :</h3>

The formula for Volume of right circular cylinder is

$V=\pi r^2h$ units

The Volume of first right circular cylinder is

$V_1=\pi r_1^2h_1$

Substitute the values in the formula we get

$V_1=\pi (3^2)(6)$

$V_1=\pi (9)(6)$

$=54\pi$ units

∴ $V_1=54\pi$ units

The Volume of second right circular cylinder is

$V_2=\pi r_2^2h_2$

Substitute the values in the formula we get

$V_2=\pi (3^2)(18)$

$V_2=\pi (9)(18)$

$=162\pi$ units

∴ $V_2=162\pi$ units

From the volumes $V_1 and V_2$ we get

$\frac{V_2}{V_1}=\frac{162\pi}{54\pi}$

$=3$

$\frac{V_2}{V_1}=3$

∴ $V_2=3\times V_1$

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3>

8 0

3 years ago

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