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2 years ago

1. The compound interest on $2500 for 5 years at 4% per annum (compounded annually) is

Mathematics

1 answer:

Elden [556K]2 years ago

4 0

Answer:

$9000

Step-by-step explanation:

I am Majoring in Math and Personal Finance.

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How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Marta_Voda [28]

Answer: $45.03\ ft$

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is $\theta =30^{\circ}$

Suppose the height of the building is $h$

From the figure, we can write

$\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft$

The height of the building is 45.03 ft

8 0

3 years ago

There was no actually pyramid for these questions it tells you the measurements in the problem though. please help me

Nimfa-mama [501]

V=448 in^3
l=8 in
w=12
h=?
V=l•w•h/3
448=8•12•h/3 multiply both sides by 3
3•448=96•h
1344=96•h
h=1344/96
h=14 in

V=l•w•h/3
h=4in
l=3in
w=2.5 in
V=?
V=4•3•2.5/3
V=30/3
V=10 in^3

3 0

3 years ago

X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?

e-lub [12.9K]

Answer:

The simplified expression is given as

$8x^2y^4(17x^2-2)$

Step-by-step explanation:

step one:

Given the expression

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)$

step two:

First, let us open the bracket we have

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\$

step three:

collect like terms we have

$x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\$

step four:

we can now factor out $8x^2y^4$ we have

$8x^2y^4(17x^2-2)$

4 0

3 years ago

A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in th

elena-s [515]

Answer:

Braniest please and promise

Step-by-step explanation:

3/2 or 3/2=1.5

4 0

3 years ago

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a full container of juice holds 64 ounces. How many 7 ounce servings of juice are in a full container?

musickatia [10]

There is 9 servings and 1 ounce left over.

3 0

3 years ago

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