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2 years ago

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5. You deposit $10,000 in an account that pays 6.92% annual interest. Find the balance after 5 years if the interest is compound

ed with the given frequency.
a. Monthly

b. Daily
c. Quarterly
d. Weekly

1 answer:

RoseWind [281]2 years ago

7 0

C . Quarterly !

Since you paid off more than half of the annual interest

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The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th

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Answer:

the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = $\dfrac{2400 \ cm^2}{p}$

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be $\dfrac{2400 \ cm^2}{p} + 20$

The area of the printed material can now be: $A = (p+30)(\dfrac{2400 }{p} + 20)$

= $2400 +20 p +\dfrac{72000}{p}+600$

Let differentiate with respect to p; we have

$\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}$

Also;

$\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}$

For the smallest area $\dfrac{dA}{dp }=0$

$20 - \dfrac{72000}{p^2}=0$

$p^2 = \dfrac{72000}{20}$

p² = 3600

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p = 60

Since p = 60 ; replace p = 60 in the expression q = $\dfrac{2400 \ cm^2}{p}$ to solve for q;

q = $\dfrac{2400 \ cm^2}{p}$

q = $\dfrac{2400 \ cm^2}{60}$

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = $\dfrac{2400 \ cm^2}{p} + 20$ = $\dfrac{2400 \ cm^2}{60} + 20$ = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.

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2 years ago

"Two planes leave the airport at the same time. Plane 1 travels just 9 miles east from

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The answer is 41 miles

Imagine the diagonal distance is called c
Using Pythagorean theorem 40^2 + 9^2 = c^2
1600 + 81 = c^2
The square root of 1681 is 41
So c = 41

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2 years ago

to find the area of a trapezoid dylan uses the formula A=1/2 (B1+B2)h the bases have lengths of 3.6 cm and 12 1/3 cm. the height

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Answer:

It is irrational because it can not be represented as a fraction of two integers

Step-by-step explanation:

Given

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Required

Why is the area irrational?

First, we need to calculate the area

$Area = \frac{1}{2}(B_1 + B_2) * H$

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$Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100$

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$Area = \frac{81.738}{6}$

$Area = 13.623$

<em>It is irrational because it can not be represented as a fraction of two integers</em>

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Answer:

2 radical 13

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