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3 years ago

Select all the correct answers.

Mathematics

1 answer:

MakcuM [25]3 years ago

8 0

Answer:

GroGain is the more effective hair regrowth system because it yielded a greater hair

Step-by-step explanation:

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Suppose you invest $2000 at an annual interest rate of 4.5%. how long will it take for it to earn $495?

Neko [114]

100%:2000$=4.5%:x$, x=90$. After 1st year I earned 90$, now I have 2090$.
100%:2090$=4.5%:x$, x=94.5$. After 2nd year I earned 94.5$ more, now I have 2184.05$.
100%:2184.05$=4.5%:x$, x=98.28$. After 3rd year I have 2282.33$.
100%:2282.33$=4.5%:x$, x=102.71$. After 4th year I have 2385.04$.
100%:2385.04$=4.5%:x$, x=107.33$. After 5th year I have 2492.37$.

So I need 6 years to earn 495$.

3 0

3 years ago

(This is a word problem) You are making up your own mix of concrete to patch a set of stairs. In order to have the proper mix, y

Alina [70]

The is 42 because that the answer to the question

8 0

3 years ago

Suppose theta(????) measures the minimum angle between a clock’s minute and hour hands in radians. What is theta′(????) at 4 o’c

makvit [3.9K]

Answer:

$\frac{\pi }{30}$ radians per minute.

Step-by-step explanation:

In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.

The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is $\frac{1}{12}$

So, you have to calculate the angle between each consecutive hour (Let ∅ represent it). It can be calculated dividing the angle of the entire circumference by 12.

∅= $\frac{2\pi }{12} = \frac{\pi }{6} rad$

Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)

There are 4 portions from 12 to 4, so the angle (Let α represent it) is:

α= $(4)\frac{\pi }{6} = \frac{2\pi }{3}$

But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.

There are 60 divisions in a clock for representing minutes, therefore in every portion there are:

$\frac{60}{12} = 5$ minutes

So, from the 12 mark to the 4 mark there are 20 minutes

The angle per minute is:

α= $\frac{2\pi/3 }{20} = \frac{2\pi }{(20)(3)} = \frac{\pi }{30}$ rad/min

Notice that the minimum angle is the angle mesured clockwise.

4 0

3 years ago

charissa ordered 3 cans of lemonade for each person at her party. She also ordered 1 pizza for every 4 people. If she ordered 6

krek1111 [17]

Answer:

72 cans

Step-by-step explanation:

step 1

Find the number of people

we know that

She ordered 1 pizza for every 4 people

using proportion

Find out the number of people for 6 pizzas

$\frac{1}{4}=\frac{6}{x}\\\\x=24\ people$

step 2

Find the number of cans ordered

we know that

Charissa ordered 3 cans of lemonade for each person

using proportion

Find out the number of cans of lemonade she ordered for 24 people

$\frac{3}{1}=\frac{x}{24}\\\\x=24(3)\\\\x=72\ cans$

7 0

3 years ago

A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.2 liters. By

Yuki888 [10]

Answer: The student's estimate is off by 12%

7 0

3 years ago