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2 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics

1 answer:

m_a_m_a [10]2 years ago

4 0

Answer:

d 20.4 years

Step-by-step explanation:

The equation is

A = Pe ^(rt)

We know that r = .034

We want the money to double so A = 2P

Substitute in

2P = P e ^(.034t)

Divide by P

2P/P = P/P e ^(.034t)

2 = e^ (.034t)

Take the natural log on each side

ln (2) = ln(e^ (.034t))

ln (2) = .034t

Divide by .034

ln (2) /.034 = .034t/.034

ln (2)/.034 = t

20.3867 =t

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Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo h

Usimov [2.4K]

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= $\frac{48}{900}\times 100 = 5.3 %$ %

6 0

2 years ago

Which linear inequality is represented by the graph?

Fantom [35]

Answer:

y $\leq$ 1/2x + 2 :)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The area of the top face of a cube is 49cm^3. What is the volume of th cube?

Vlad1618 [11]

Answer:

$V=2401cm^{3}$

Step-by-step explanation:

The fact that the figure is a cube means all sides, faces, and corners are equal.

$V=BHW$

$V=49cm^{2}(W)$

$V=49cm^{2}(49cm)\\ V=2401cm^{3}$

3 0

2 years ago

How to solve step by step [(7,5-1,5) x 10^-11]^2 ??

Oliga [24]

1.7,5-1,5=6
2.10-11=-1
3.6×-1=-6
4.-6+2=-4

5 0

3 years ago