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2 years ago

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Mathematics

1 answer:

GarryVolchara [31]2 years ago

7 0

Answer: $\frac{1}{3} \sin x^{3}+C$

Step-by-step explanation:

Let $u=x^3$ . Then, $3x^2 dx = du \longrightarrow x^2 dx =\frac{1}{3}du$

So, we can rewrite the original integral as

$\frac{1}{3} \int \cos u \text{ } du=\frac{1}{3} \sin u+C=\frac{1}{3} \sin x^{3}+C$

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you invested $1,900 at a 4% interest compounded annually for 3 years.how much interest did you earn in 3 years

zzz [600]

Answer:

The amount is $2137.24 and the interest is $237.24.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A = P $(1+\frac{x}{y} )nt$

A = total amount P = principal or amount of money deposited, r = annual interest rate n

= number of times compounded per year t = time in years In this example we have

P = $1900 , r = 4% , n = 1 and t = 3 years

After plugging the given information we have

A = 1900 $(1+\frac{0.04}{1})^{1*3}$

A = 1900 · 1.0 $4^{3}$

A = 1900 · 1.124864

A = 2137.24

STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we

have:

A = P + I

2137.24 = 1900 + I

I = 2137.24 − 1900

I = 237.24

7 0

3 years ago

It is estimated that there are 21 deaths for every 10 million people who use airplanes. A company that sells flight insurance pr

Yuki888 [10]

Answer:

$0.79 profit per person who buys a policy

Step-by-step explanation:

For every 10 million people who buy a policy the expected outcome is

$(21*100,000) = $2,100,000 (21 deaths out of 10 million)

the expected income is

$10,000,000 ($1 per sold policy)

So the expected profit is

$10,000,000 - $2,100,000 = $7,900,000

To obtain how much the insurance company can make for each policy that it sells, we cross multiply

10,000,000 people ---------> $7,900,000 profit

1 person -----------------------> x

and

10,000,000=7,900,000/x and x = $0.79 profit per person who buys a policy

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4 years ago

a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price betwee

Ratling [72]

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

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3 years ago

an orchard sells apples in bags if 10. the Orchard sold 2430 apples in one day how bags of apples was this

Katena32 [7]

The orchard gets 243 bags of apples in one day

7 0

4 years ago

Read 2 more answers

A streaming service charge $10 plus $1.25 per movie downloaded. You have

ch4aika [34]

Answer:

Step-by-step explanation:

30-10=20

20 divided by 1.25 = 16

8 0

2 years ago

The question is in the attached picture​

The question is in the attached picture