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sweet-ann [11.9K]
3 years ago
6

Juan invests $7500 at 6% interest in one year. How much money will he have if the interest were compounded A. yearly B. Daily C.

why are the amounts in answers a and b different
Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).

Step-by-step explanation:

Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)

t = time(time in respect to years ; how long it is compounded).

For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$

For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$

C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)

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The term of a geometric sequence always increases? True or false
sp2606 [1]
<h3>FALSE</h3>

if r < 0, then is alternating

if 0 < r < 1, then is decreases

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if r > 1, then is icreases

6 0
3 years ago
A) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
-BARSIC- [3]

Answer:

A) 0.030

B) 0.026

Step-by-step explanation:

I hope this HELP! :)

5 0
2 years ago
Line l is parallel to line e in the figure below.
agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})

8 0
2 years ago
Read 2 more answers
Please answer and put how
muminat
6 + m/4 = 3 (subtract 6 from both sides)
m/4 = -3 (multiply both sides by 4)
m = -12

Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3 

The answer m = -12 checks out
3 0
2 years ago
Read 2 more answers
Solve the inequality: a - 4 &lt;10
harkovskaia [24]
<h3>Answer:  a < 14  (Choice B)</h3>

==================================================

Explanation:

Add 4 to both sides

a-4 < 10

a-4+4 < 10+4

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The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.

5 0
3 years ago
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