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3 years ago

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Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

Answer:

$\theta \approx 1.23^\circ$

Step-by-step explanation:

The expression has been given as:

$tan(\theta) = \frac{50}{18}$

Required: Find $\theta$

Simplify the fraction

$tan(\theta) = 2.7778$

Take arc tan of both sides

$\theta = tan^{-1}(2.7778)$

$\theta \approx 1.23^\circ$

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How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round

sweet [91]

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents

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3 years ago

Complete the equation. Round to the nearest hundredth where necessary.

Alexandra [31]

Answer:

Step-by-step explanation:

There are 1.61 km in 1 mi.

10 mi × (1.61 km/mi) = 16.1 km

7 0

3 years ago

What is the sum of series is numbers 64&66 ?<br> Using the summation notation

iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

$6(2)^{1-1}=6$

$6(2)^{2-1}=12$

$6(2)^{3-1}=24$

$6(2)^{4-1}=48$

$6(2)^{5-1}=96$

$6(2)^{6-1}=192$

$6(2)^{7-1}=384$

$6(2)^{8-1}=768$

$6(2)^{9-1}=1536$

$6(2)^{10-1}=3072$

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

$12(-\frac{1}{2})^{0}=12$

$12(-\frac{1}{2})^{1}=-6$

$12(-\frac{1}{2})^{2}=3$

$12(-\frac{1}{2})^{3}=-1.5$

$12(-\frac{1}{2})^{4}=0.75$

$12(-\frac{1}{2})^{5}=-0.375$

$12(-\frac{1}{2})^{6}=0.1875$

$12(-\frac{1}{2})^{7}=-0.0078125$

$12(-\frac{1}{2})^{8}=0.046875$

$12(-\frac{1}{2})^{9}=-0.0234375$

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

4 0

3 years ago

Out of 25 students, 15 students are girls. what is the ratio of boys and girls? a: 3:5 b: 2:5 c: 2:3

Vadim26 [7]

Answer:

Answer: C 2:3

Step-by-step explanation:

total students = 25

total girls = 15

total boys = 25-15 = 10

boys:girls = 10:15

divide by 5 to get 2:3

6 0

2 years ago

What is the point-slope equation of the line with slope -4 that goes through the point (-2, 7)?

almond37 [142]

Answer:

y-7=-4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-(-2))

y-7=-4(x+2)

6 0

3 years ago