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Sophie [7]
4 years ago
9

Your rent will be increased 5% next month .if your current rent is $1,600, what will your rent be next month? Choose the equatio

n that correctly translates the word problem into math . PLEASE BRAKE DOWN THE REASON WHY!
A)x=$1,600-0.05($1,600)
B)x=0.05(1,600)-$1,600
C)x=0.05($1,600)+$1,600
D)x+$1,600=0.05($1,600)
Mathematics
1 answer:
Sever21 [200]4 years ago
3 0

There are two ways you can solve this. You can do:

1600 · 0.05 = 80

Then you add this to your current rent

1600 + 80 = 1680

$1680 will be your rent next month

Another way to do it is:

1600 · 1.05 = 1680

The "1" in 1.05 keeps the 1600, and the .05 adds the additional rent for next month.


The answer is C

x = 0.05(1600) + 1600

x = 80 + 1600

x = 1680

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fill in the missing number in this newspaper report: houses cost 150.000 a year ago.they now cost is ?. this is a 25% increase w
svet-max [94.6K]

Answer: 187500

Step-by-step explanation:

Interest= principal ×rate×time/100

Let interest be I

Principal be P

Rate be r

Time be t

So we have

I=p×r×t/100

P in the question is 150000

T is 1year

R is 25%

Substitute for the values

I=150000×1×25/100

Interest= 37500

To know the exact cost now

Add the interest to the principal cost

Exact value=interest +principal

Exact value =37500+150000

Exact value=187500

The cost of the house now is=187500

8 0
3 years ago
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5 0
3 years ago
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In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor
Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

μxbar=μ=95.25

σxbar=σ/√n=27.32/√25=27.32/5=5.464.

So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The z-score associated with average spending $102.5

Z=[Xbar-μxbar]/σxbar

Z=[102.5-95.25]/5.464

Z=7.25/5.464

Z=1.3269=1.33

We have to find P(Xbar>102.5).

P(Xbar>102.5)=P(Z>1.33)

P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)

P(Xbar>102.5)=0.5-0.4082

P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

5 0
4 years ago
If the perimeter is always 36 cm, how could you draw the rectangle so that it has the maximum area?
Romashka-Z-Leto [24]

Answer:

Draw it with 9 cm for length and width.

Step-by-step explanation:

The product is the maximum area when the length and width are as close as possible, or equal to each other. Because length and width are 2 sides each, we can divide 36 by 4, which is 9.

9x9 = 81 cm^2. This is the largest area possible.

4 0
4 years ago
What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
3 years ago
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