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Oliga [24]
3 years ago
8

April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate, and Cody invests at a 4% inte

rest rate, compounded annually. What is the difference in their account balances after three years?
Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

  • $24.32

Step-by-step explanation:

<u>The difference in balances is:</u>

  • 5000*(1 + 0.04)^3 - 5000*(1 + 0.04*3) =
  • 5624.32 - 5600 =
  • 24.32
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1. Write a two-column proof.
Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

\widehat{ACB} \:bisects\: \overline{AB}        Isosceles Triangle the altitude, the bisector coincide.          

\overline{AD} \cong \overline{DB}               Bisector equally divide a line segment into two congruent      

m\angle CDA =m \angle CBD=90^{\circ} Right angles, perpendicular lines.                  

\overline{CD}\perp \overline{AB}                    Perpendicular Line segment      

8 0
3 years ago
A vehicle travels 57 kilometers north and then travels 26 kilometers south. What is the current position of the vehicle? (2 poin
solniwko [45]

Answer:

C. 31 kilometers north of its starting location

Step-by-step explanation:

<em>Please see attached a rough sketch of the situation for your reference</em>.

Step one:

Displacement North= 57km

Displacement South= 26km

Required

The  final displacement

The current position is attained by subtracting 26km from 57km

=57-26= 31km

Therefore the current position is

C. 31 kilometers north of its starting location

5 0
3 years ago
When is a quadrilateral a parallelogram?
brilliants [131]
C. when opposite sides are congruent and parallel
6 0
3 years ago
Will mark Brainlist!
butalik [34]

Answer:

4,880

Step-by-step explanation:

33.2% x 14,700 = 4880 employes

8 0
3 years ago
Read 2 more answers
A polygon is translated 3 units to the right and 4 units down, then it’s reflected across the x-axis, and then it’s dilated by a
Marrrta [24]

Answer:

(x,y)\rightarrow (4x+12,-4y+16)

Step-by-step explanation:

<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule

(x,y)\rightarrow (x+3,y-4)

<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule

(x,y)\rightarrow (x,-y)

<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule

(x,y)\rightarrow (4x,4y)

Now, the sequence of these three transformation has the rule

(x,y)\rightarrow\limits^{\text{1st transformation}} (x+3,y-4)\rightarrow\limits^{\text{2nd transformation}}(x+3,-(y-4))\rightarrow\limits^{\text{3rd transformation}} (4(x+3),4(-(y-4)))\\ \\(x,y)\rightarrow (4x+12,-4y+16)

8 0
3 years ago
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