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Lemur [1.5K]
2 years ago
8

The selling price of a chair is N14 000. The trader gives a 25% discount for cash. What is the cash price?

Mathematics
1 answer:
True [87]2 years ago
5 0

Answer:N10500

Step-by-step explanation:

10%of 14000=1400

20%=1400x2=2800

5%=1400 divided by 2=700

25%=2800+700=3500

14000-3500=10500

hope this helps

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The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t
djyliett [7]

Option C: 316 is the predicted population when x=15

Explanation:

The regression equation for an exponential data is \log y=0.14x+0.4

Where x is the number of years and

y is the population

We need to determine the predicted population when x=15

The population x can be determined by substituting x=15 in the equation \log y=0.14x+0.4

Thus, we have,

\log y=0.14(15)+0.4

\log y=2.1+0.4

\log y=2.5

Using the logarithmic definition \log _{a}(b)=c then b=a^{c}

\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}

y=316.22776 \ldots

Rounding off to the nearest whole number, we get,

y=316

Thus, the predicted population when x=15 is 316

Hence, Option C is the correct answer.

7 0
2 years ago
If mBC = (9x-53) and mCD = (2x + 45) find mBAD
Rom4ik [11]

Answer:

m\angle BAD=73^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the value of x

Let

O ----> the center of the circle

we know that

Triangle BOC≅Triangle COD

m\angle BOC=arc\ BC ----> by central angle

m\angle COD=arc\ CD ----> by central angle

m\angle BOC=m\angle COD

therefore

arc\ BC=arc\ CD

substitute the given values

(9x-53)^o=(2x+45)^o

solve for x

9x-2x=45+53\\7x=98\\x=14

step 2

Find the measure of angle BAD

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]

arc\ BC=9(14)-53=73^o

arc\ CD=2(14)+45=73^o

substitute

m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o

7 0
1 year ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
TiliK225 [7]

Answer:

Correct solution:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64

Step-by-step explanation:

they rode 45.7, 40.9, and 38 miles

= (45.7 + 40.9 + 38) miles

= 124.6 miles

Convert 124 .6 miles to kilometers

1 kilometer = 0.621 miles

124.60 miles = 124.60 / 0.621

= 200.64 kilometers

This is the correct solution because he divided 124.60 miles by 0.621

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64

4 0
1 year ago
Read 2 more answers
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storchak [24]

Answer with Step-by-step explanation:

We have to prove that

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By using Euler's identity, we get

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(a+b)^2=a^2+b^2+2ab, i^2=-1

cos2\theta+isin2\theta=cos2\theta+i(2sin\theta cos\theta)

cos2\theta=cos^2\theta-sin^2\theta

Comparing imaginary part on both sides

Then, we get

sin2\theta=2sin\theta cos\theta

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