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Tems11 [23]
3 years ago
15

A bag of rice weighs 50kg. If the weight of the bag increases by 45% find the new weight of the bag.

Mathematics
1 answer:
pentagon [3]3 years ago
3 0
The new weight of the bag is 72.5kg
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Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Which equation in slope-intercept form represents a line that is parallel to y=−4x−5 and passes through the point (0,0)?
IrinaK [193]

Answer:

\displaystyle y = -4x

Step-by-step explanation:

0 = 0 ± b

\displaystyle 0 = b \\ \\ y = -4x

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 remains the way it is.

I am joyous to assist you anytime.

6 0
2 years ago
The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ attitudes toward school and stud
sineoko [7]

Answer:

The conditions for carrying out a significance test are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

Step-by-step explanation:

SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.

The conditions needed or required to carry out a significance test of the teacher's suspicion are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population

7 0
3 years ago
Read 2 more answers
How do you solve 10+|m-6|=7
kondor19780726 [428]
There are no values of
m
m
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No solution
7 0
3 years ago
How do I complete this chart?
Mrac [35]

Answer:

Step-by-step explanation:

You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.

Once you have both x and y, you will have your (x,y)

For example: (given x value = -5)

f(x) = -|x - 5| -4\\f(-5) = -|(-5) - 5| - 4\\f(-5) = -|-10| - 4\\f(-5) = -10 - 4\\f(-5) = -14\\f(-5) = y = -14\\\\

so:

x = -5

y = -14

( -5, -14)

6 0
3 years ago
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