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11111nata11111 [884]
2 years ago
6

An amount of $4000 was deposted in a bank of 7% compounded quarterly for 2 years. The rate the increased to 10% and was compound

ed quarterly for the next 2 years. If no money was
balance at the end of this time?

The balance was $=
(Round to the nearest cant as needed)
Mathematics
1 answer:
GarryVolchara [31]2 years ago
6 0

Answer:

  $5599.20

Step-by-step explanation:

The quarterly interest rate for the first two years was ...

  7%/4 = 0.0175

So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...

  1.0175^8

For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...

  1.025^8

Then the balance at the end of 4 years was ...

  $4000(1.0175^8)(1.025^8) ≈ $5599.20

The balance was $5599.20.

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The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?
valentinak56 [21]
Consider this option:
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
for x of the 2d endpoint of the diameter: x=4*2-2=6;
for y of the 2d endpoint of the diameter: y=6*2-5=7.

answer: (6;7)
3 0
2 years ago
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A group of 14 people, of which 8 are male and 6 are female is picking a four person committee. How many ways can they pick the f
Vesna [10]

Answer:

35 ways

Step-by-step explanation:

7×6×5×4. 7×6×5×4

--------------. = --------------. = 35

1x2×3×4. 1×2×3×4

4 0
2 years ago
What is the slope of a line that passes through the points (-5,-3) and (9,-6)
kipiarov [429]
To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3)  (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1      -6-(-3)     -9
-------- =   -------- =  ----
x2-x1       9-(-5)     14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14


7 0
3 years ago
All sides of ABC are tangent to circle P.<br> What is the perimeter of the triangle below?
arlik [135]

I got an answer of 58.

Subtract 10 from the side length of 24 to get 14.

And use the side length of 5 to find another side length that also equals 5.

In total all your side lengths would be 10,5,5,24,14. And all of them together to arrive at an answer of 58.

6 0
3 years ago
PLS HELP THIS IS LAST OF MY POINTS AND RUNNING OUT OF TIME. ANSWER ONLY IF U KNOW MATH.
ipn [44]

Answer:

using y=mx +c

c=0

m=y2-y2/x2-x1

m=16-0/2-0

m=8

y=8x+0

y=8x

hope that helped

if yes give me brainliest and if no draw my attention by hitting the comment section

7 0
2 years ago
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