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Yakvenalex [24]
3 years ago
15

Joan Arlington has twice as much money invested at 5% simple annual interest as

Mathematics
1 answer:
Bess [88]3 years ago
7 0

5  \div 100 \times 399 \times 1 = 19.95 \: and  \: 4 \div 100 \times 399 \times 1 = 15.96

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Solve the system of equations using the substitution method.
Katena32 [7]
        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3
3 0
3 years ago
What is the volume of the figure shown?
forsale [732]

Answer:

656.25m^3

Step-by-step explanation:

Also 1/2 is equivalent to 0.5

25*17.5*1.5=656.25

8 0
3 years ago
Does anyone know this?
Marina CMI [18]
1.37x10^9 is the correct answer:)
3 0
2 years ago
Read 2 more answers
What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?
Leno4ka [110]
So, we know the center is at -3,-1, ok

hmmm what's the radius anyway?   well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point?  well, is the radius, let's check then.

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -3}}\quad ,&{{ -1}})\quad 
%  (c,d)
&({{ 1}}\quad ,&{{ 2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2}
\\\\\\
r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{\quad  k}})\qquad 
radius=&{{ r}}\\
&-3&-1&5
\end{array} 
\\\\\\\
[x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25
7 0
3 years ago
What is the best approximation for the circumference of a circle with a radius of 125 m?
ANEK [815]

Answer:

Option B is correct

circumference of a circle is 785 m

Step-by-step explanation:

Circumference of the circle(C) is given by:

C = 2\pi r

where

r is the radius of the circle

As per the statement:

radius of the circle is 125 m

then substitute in [1] we have

C = 2 \cdot 3.14 \cdot 125

Simplify:

C = 785 m

Therefore, the circumference of a circle is 785 m

8 0
3 years ago
Read 2 more answers
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