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MA_775_DIABLO [31]
3 years ago
9

beth wants to make bags of party favors to give to her friends. Bracelets come in package of 10. Hair bows come in package of 4.

what is the least number of bracelets and hair bows can beth to have an equal number of each?
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

10 = 2x5

4 = 2x2

LCM + 2x2x5 = 20 <=== smallest number of bracelets and hair bow to buy

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A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
tangare [24]

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

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

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

4 0
2 years ago
Read 2 more answers
John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt an
Alja [10]

Answer:

John have $36 and he should give $48 to his brother for both to have equal money.

Step-by-step explanation:

Given that,

amount of money John have = $84

amount of money John's brother owed to her friend = $12

$12 of the $84 is going to his brother's friend, that leaves $72 for John and his brother.

If they are to finish with the same amount, then each should have half of the John's money after he paid $12

So,

72/2

= 36 each

but since John's brother have to give 12 rupees in debt so

36+12

= $48

So John should have $36 and he should give $48 to his brother.

4 0
3 years ago
Please help me with these 2 questions
STatiana [176]

Answer:

#1.)  x = 7

Step-by-step explanation:

#1.) Here,  AB = BC  because they are tangents that meet at a common endpoint

so  5x + 11 = 3x + 25

2x = 14

x = 7

-----------

3 0
3 years ago
A​ long-distance telephone company charges a rate of cents per minute or a ​-cent minimum charge per completed​ call, whichever
LiRa [457]

Answer: 50 cents

Step-by-step explanation:

Company charges 8 cents per call and the call in question is 3 minutes. Cost is;

= 3 * 8

= 24 cents

Company however stipulates that a call is 8 cents per minute or a 50​-cent minimum charge per completed​ call, whichever is greater.

<em>50 cents is greater than the per minute total charge of 24 cents so the cost will be 50 cents.</em>

8 0
3 years ago
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar
Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) --->  the production cost, in thousands of dollars

we have

C(x)=-0.34x^{2} +12x+62

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> 0\leq x

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> 34.18 < x\leq 39.87

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0
3 years ago
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