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Contact [7]
3 years ago
5

The figures below are similar; write what you know about the angles and sides.

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Because BLIND is similar to FAITH,

for corresponding sides we can write,

|BL|/|FA| = |LI|/|AI| = |IN|/|IT| = |ND|/|TH| = |DB|/|HF|.

For corresponding angles we can write

m∠B=m∠F, m∠L=m∠A, m∠LIN=m∠AIT, m∠N=m∠T, m∠D=m∠H.

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Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. Chan thought the equival
dedylja [7]

Answer:

No, equivalent quarterly rate will be approx 1.75%

Step-by-step explanation:

Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.

We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

4 0
3 years ago
The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per
galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.  

3 0
3 years ago
a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in
raketka [301]
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers. 

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added. 

Now just divide the size of the vat by that number, and you find your answer. 

70 gallons / 3 gallons per hour = 23 1/3 hours. 
6 0
3 years ago
Rick deposits $1,000 into an investment account which earns 4% annually. Sally loans $1,000 to a friend, and the friend agrees t
faltersainse [42]

the amount of money rick earned can be solve using the formula:

F = P (1+ i)^n

Where F is the future money

P is the initial money

i is the interest rate

n is the time

F = 1000 ( 1 + 0.04)^10

F = $ 1,480.24

Sally

F = 1000 + (50)(10)

F = $ 1500

So the answer is D

6 0
3 years ago
Read 2 more answers
Curtis plays a trivia game he earns 2 points for each correct answer and loses 0.25 points for each incorrect answer he get 21 c
Maslowich

Answer:

41

Step-by-step explanation:

Curtis is playing a trivia game.

Number of points earned for each correct answer = 2

Number of points lost for each correct answer = 0.25

Given that:

Number of correct answers given by Curtis = 21

Number of wrong answers given by Curtis = 4

To find:

Total score of the game by Curtis?

Solution:

First of all, let us find the points earned by correct answers.

Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.

Points earned by correct answers = 21 \times 2 = 42

Now, let us find the points to be lost by wrong answers.

Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.

Points lost by wrong answers = 4 \times 0.25 = 1

The score of the game can be calculated by subtracting the points lost from the points earned.

Score = 42 - 1 = <em>41</em>

3 0
3 years ago
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