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3 years ago

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What is the growth factor that corresponds to a product that increases its value first by 13.2%, and then increases by 16.5% of

its value, and finally increases by 27% of its value? Round to the thenths place.

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Its 3.3 the first growth but then for the second one it is 10.5

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In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

3 years ago

Express this is scientific notation

Vitek1552 [10]

Place the decimal point right after the first nonzero digit, which is 3.

So you'll go from this $0.003045$ to this $3.045$ after this move.

Now ask yourself: "how many spots must I move the decimal point to get back to 0.003045?"

The answer is "3 spots to the left"

The exponent of the final answer is -3
The negative indicates "move left" and the 3 tells us how many places to move the decimal

Therefore, $0.003045 = 3.045 \times 10^{-3}$

Answer: Choice C)
This is assuming you meant to write the -3 as an exponent

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3 years ago

Jenny tweets 33 times a day. antonio posts 5 tweets per day. let d represent the number of given days. use an algebraic expressi

algol13

Jenny's algebraic expression:

y = 33d

where y is the total number of posts

total tweets in 5 days

y = (33)(5)

y = 165 tweets

Antonio's expression:

y = 5d

total tweets in 5 days

y = (5)(5)

y = 25 tweets

Altogether they have posted:

165 + 25 tweets = 190 tweets in five days

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3 years ago

If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necess

k0ka [10]

Answer:

Total interest you will pay is $103.07.

The total you will pay for interest and loan amount is $749.07

iStep-by-step explanation:

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3 years ago

Is the function f(x) increasing or decreasing over the interval -2< x<-1 ?

liq [111]

the function f(x) is increasing.

looking at the domain -2 < x < -1, we can see that the function f(x) = 2^x (labeled in blue) has an increasing slope.

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3 years ago