Debbie cut a cord into sixths . She used five of the to make necklaces . She used equal lengths of the remaining cord for each of four bracelets. What fraction of the original cord did Debbie use for each bracelet ?

Answers

Answer 1

Answer: So she used $(5)/(6)$ of the cord to make necklaces.
$1- (5)/(6) = (1)/(6)$

She splits the $(1)/(6)$ length into 4 equal lengths.
To divide a fraction by a fraction, you multiply it by its reciprocal.
$(1)/(6) ( (1)/(4))$
$=(1)/(24)$

She used $(1)/(24)$ of the original chord to make each bracelet.

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If a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877, how much was the loan amount (rounded to the nearest hundred)?A. $120,100B. $100,300C. $144,200D. $134,200

Answers

Answer:

C. $144,200

Step-by-step explanation:

We have been given that a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877.

To find the loan amount, we will use simple interest formula.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

One month will be equal to 1/12 year.

$7.3\%=(7.3)/(100)=0.073$

Upon substituting our given values in simple interest formula, we will get:

$877=P*0.073*(1)/(12)$

$877*12=P*0.073*(1)/(12)*12$

$10524=P*0.073$

$P*0.073=10524$

$(P*0.073)/(0.073)=(10524)/(0.073)$

$P=144164.3835616438356$

Upon rounding to nearest hundred, we will get:

$P\approx 144,200$

Therefore, the loan amount was $144,200 and option C is the correct choice.

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is :Parabola
eclipse
circle
hyperbola

Answers

Answer:

The answer is Ellipse

Step-by-step explanation:

Answer:

its not parabola for plato i got it wrong

Step-by-step explanation:

herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?

Answers

35 + 8w = 179.40
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week

Answer:a

Step-by-step explanation:

Which of the following is the best definition of the range of a relation? A. The set of all possible input values, or x-values
B. The set of all possible output values, or y-values
C. The set of all possible input values, or y-values
D. The set of all possible output values, or x-values

Answers

the answer is either a or c

When navigating the maze, the robot will only need to go north, south, east, and west. It can be useful to use the complex plane to represent these directions. When using the complex plane this way, we use numbers such that their magnitude is equal to 1. If we let the value i represent the robot facing due north, what values represent the robot facing east, south, and west?

Answers

Answer:

East = 1

South = - i

West = -1

Step-by-step explanation:

We are given that, the robot can only go north, south, east and west.

Assuming that the north-south axis corresponds to the y-axis and west-east axis corresponds to x-axis.

Now, it is provided that the ' i ' represent that robot is facing north.

So, if the robot turns and faces south, it can be seen that he will be facing in the opposite direction of ' i '.

Since, the values on y-axis are negative in that direction.

Hence, South will be represented by ' - i ' .

Moreover, it is given that we use only the numbers whose magnitude is 1. As, west-east axis represents x-axis.

So, the value that represents East will be 1 ( as it is on the positive x-axis ).

Since, west is in the opposite direction of east.

So, West will be represented by -1.

The amount to which $5,000 would grow in ten years at 6% compounded quarterly.

Answers

101500, You aree Welcome!

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