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Alexandra [31]
3 years ago
7

Ceasar wants to save up his money to buy a house. He currently has $32,000 in his savings account and wants to have $275,000. Wh

at simple interest rate would he need so that $32,00 grows to $270,000 in 10 years
Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

75.9375%

Step-by-step explanation:

We apply the simple interest formula;

we first determine the amount of accrued interest to be earned;

interest = 275000 - 32000

             = 243000

Applying the simple interest formula;

I=\frac{P*R*T}{100}\\243000=\frac{32000*R*10}{100}\\ 243000=3200R\\R=75.9375

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You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa
Crazy boy [7]

Answer:

Part A) see the explanation

Part B) C(12)=\$54

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form k=\frac{C}{x} or C=kx

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B)  we know that

The linear equation is given by

C=kx

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

k=\$4.50\ per\ book

so

C=4.50x

For x=12 books

substitute in the equation and solve for C

C=4.50(12)=\$54

In function notation

C(12)=\$54

5 0
3 years ago
Write the expression <br> 3x-(2-4x) in standard form
Llana [10]
7x-2 is how it’s written in standard form
4 0
2 years ago
What's 2 1/4 times 1 3/4
Whitepunk [10]
<span>3.9375 hope I helped :)</span>
8 0
3 years ago
What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)
Vsevolod [243]

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest.  x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3.  So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.  

7 0
3 years ago
I need help solving this problem. <img src="https://tex.z-dn.net/?f=4x%20cos%20%5E%7B-1%7D%20%282x%2B4%29-%20%5Csqrt%7B3-3%20x%5
Gnesinka [82]
Given:
f(x)=4xcos^{-1}(2x+4)-\sqrt{3-3x^2}

Using
\frac{d}{dx}cos^{-1}(x)=-\frac{1}{\sqrt{1-x^2}}
we derive
\frac{d}{dx}4xcos^{-1}(2x+4)
=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}

Similarly, using
\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}
we derive
\frac{d}{dx}(-\sqrt{3-3x^2})
=\frac{3x}{\sqrt{3-3x^2}}

Therefore, the derivative is
f'(x)=\frac{d}{dx}(4xcos^{-1}(2x+4)-\sqrt{3-3x^2})
=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}+\frac{3x}{\sqrt{3-3x^2}}
3 0
3 years ago
Read 2 more answers
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