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2 years ago

9

Kody made a deposit into an account that earns 4% annual compound interest. After 24 months, the value of his account was $2163.

20. What was the amount of Kodys initial deposit?

1 answer:

yKpoI14uk [10]2 years ago

3 0

Answer:

$1176.671

Step-by-step explanation:

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Performance scores are collected for 10 individuals and those scores are 17 12 20 11 8 18 17 9 12 and 15. Find where X sub i rep

Elden [556K]

Step-by-step explanation:

x=10-20x567++dfggyjkkvd

3 0

2 years ago

The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer

Natali5045456 [20]

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector = 8.75cm

Hence the area of the sector is 8.75cm²

5 0

2 years ago

The expression cos^-1 (3/5) has an infinite number of values.. True or False.

Pavel [41]

Answer:

The given statement:

The expression cos^-1 (3/5) has an infinite number of values is a true statement.

Step-by-step explanation:

We are given a expression as:

$\arccos (\dfrac{3}{5})$

Let us equate this expression to be equal to some angle theta(θ)

i.e.

Let

$\arccos (\dfrac{3}{5})=\theta\\\\\cos \theta=\dfrac{3}{5}$

As we know that the limit point of the cosine function is [-1,1]

i.e. it takes the value between -1 to 1 and including them infinite number of times.

Also,

-1< 3/5 <1

This means that the cosine function takes this value infinite number of times.

That is there exist a infinite number of theta(θ) for which:

$\cos \theta=\dfrac{3}{5}$

i.e. the expression:

$\arccos (\dfrac{3}{5})$ has infinite number of values.

6 0

2 years ago

Read 2 more answers

Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three

Pie

Answer:

Felix's third test score must be greater than 94

Step-by-step explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

$\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}$

An average of the three test must be above 70, this means

$\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70$

Solve this inequality. First, multiply it by 3:

$52+64+x>210\\ \\x>210-52-64\\ \\x>94$

4 0

2 years ago

You buy rice at $0.71 a pound.

luda_lava [24]

Answer:

$7.10

Step-by-step explanation:

0.71 x 10= 7.10

6 0

2 years ago