Reflect

1. What If? If Alex had saved $333.34 a month for 3 months, how

much money would he have? If he had used his savings instead

of his credit card, how much less would his purchases have cost him?

2. How much less did Barry's loan, at an interest rate of 9%, cost than

Alex's loan at 21%?

Answers

Answer 1
Final answer:

Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

Explanation:

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

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Answer 2

Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.


Related Questions

Mali performed an experiment with a standard deck of 52 cards. She wanted to see if the face cards (Ace, King, Queen, and Jack) came up the expected number of times when she randomly selected 13 cards from the deck. A 3-column table with 4 rows. Column 1 is labeled Card with entries ace, king, queen, jack. Column 2 is labeled Theoretical (predicted frequency) with entries 1, 1, 1, 1. Column 3 is labeled Experimental (Observed frequency) with entries 0, 1, 1, 0. Mali noticed that the observed frequencies did not match the predicted frequencies. What does she need to change in her experiment to get closer to the predicted values based on the theoretical probability for all the face cards?

Answers

Answer:

Increase the number of trials...

Step-by-step explanation:

The number of experiment trials should be increased as to match the predicted frequencies.

What is Probability?

Probability is the likeliness of an event to happen.

In probability experiments are performed to determine the probability of a required event.

Mali performed the experiments and found that the observed frequencies did not match the predicted frequencies.

To make the data closer to the predicted values, more number of trials to determine the frequencies should be done.

Your question seems incomplete, the complete question is attached as an image with the answer.

To know more about Probability

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x^2<64 find solution

Answers

Answer:

(-8,8)

Step-by-step explanation:

Rockin' Reggie's Music Shop sells about 200 guitar picks each week. Reggie orders picks by the gross (144) from a distributor. About how many gross should Reggie order for a three month supply.

Answers

Answer:

1872 gross should Reggie order for a three month supply.

Step-by-step explanation:

Given:

200 guitar picks each week.

To Find:

How many gross should be ordered for three months period

Solution:

Now  the guitar picks corresponds to the  order picks by gross as follows;

given that 200 guitar picks corresponds to 144 gross orders

Now 200 are sold for each weeks i.e 7 days

Now for 3 months there are approximately 13 weeks

so Total sell for 3 months=13*200=2600 guitars

Now The ratio of guitar picks to gross orders is ,

144/200

=1/1.39=0.72

So 2600 guitars corresponds to 2600*(1/1.39)

i.e. 2600/1.39

=1872 Gross orders are required to get three month of supply

please help me I need hlp

Answers

H = 27 m. Since these are scales of each other, you can solve for h by creating a ratio of the two lengths. Divide 36 by 4 to find the scale for the tree. 36/4 = 9. This means that the large triangle is 9 times larger than the small one. Now to find h, multiply the height of the small triangle by the scale. 3 x 9 = 27. This means the height, h, of the large triangle is 27 m. You can check this by dividing the length of each triangle by their height. If they are the same number, the scale is correct. 36/27 = 1.33, 4/3 = 1.33 ✅

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question.




Which statement about triangle QRS is true?


Triangle QRS is an equilateral triangle because QR = RS.

Triangle QRS is an isosceles triangle because QR = QS.

Triangle QRS is a scalene triangle because all sides have different lengths.

Triangle QRS is an isosceles triangle because QR = RS.

Answers

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

The length of the given triangle: [tex]QR = 6.003, QS = 8.218, RS = 6.003[/tex].

The given triangle QRS is an isosceles triangle because [tex]QR = RS[/tex].

What is an isosceles triangle?

An isosceles triangle is a triangle that has two equal sides.

In the given triangle, the length of the sides are as follows:

[tex]QR = \sqrt{9 + 27.04} = \sqrt{36.04} = 6.003[/tex]

[tex]QS = \sqrt{64 + 3.53} = \sqrt{67.53} = 8.218[/tex]

[tex]RS = \sqrt{25 + 11.04} = \sqrt{36.04} = 6.003[/tex]

(Negative values are not taken)

In the given triangle,  [tex]QR = RS[/tex].

Therefore, the given triangle QRS is an isosceles triangle.

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Greatest common factor of x4 and x3

Answers

Answer:

x^3 is the greatest common factor of x4 and x3

Step-by-step explanation:

The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Abbreviated "GCF". Also called "Highest Common Factor"

One day, River writes down the numbers $1,$ $2,$ $\dots,$ $999.$ River chooses one of the digits written down at random. What is the probability that River chooses a $7$?

Answers

Answer:

100/963

Step-by-step explanation:

The number 1,2,3,...,999 is written down.

First, we determine the total number of digits written down

1-9 =9 digits 10-99= 2(99 - 10 + 1)  =2(90) digits100-999=3(999 - 100 + 1) =3(900) digits

Total Number of digits=9+2(90)+3(900) =2889

Number of Digit 7 between 1 and 999

In the Units’ place, 7 occurs once every decade (7, 017… 997)=10 X 10= 100 times  In the Tens place, 7 occurs in the ten times every century (70–79, 170–179, …, 970–979) =10 X 10= 100 times  In the hundreds’ place, 7 occurs once in the hundreds’ place (700, 701, …, 799) = 100 times  

Therefore, the number 7 will be found a total of 300 times between 1 and 999.

Therefore, the probability of selecting a "7"  =  300/2889  

= 100/963

Final answer:

The probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit is approximately 0.111 or 11.1%. This is calculated by dividing the total occurrences of the digit 7 (321 times) by the total number of digits written (2889 digits).

Explanation:

To calculate the probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit, we must first determine the total number of times the digit 7 appears in this range. In numbers 1-9, 7 appears once; in numbers 10-99, it appears 10 times in the units place plus 10 times in the tens place; and in numbers 100-999, it appears 100 times in the units place, 100 times in the tens place, and 100 times in the hundreds place. Therefore, there are a total of 1 + 10 + 10 + 100 + 100 + 100 = 321 occurrences of the digit 7.

Next, we calculate the total number of digits written down from 1 to 999. For numbers 1-9, there are 9 digits. For 10-99, there are 90 numbers times 2 digits each, totaling 180 digits. For 100-999, there are 900 numbers times 3 digits each, totaling 2700 digits. The sum of all digits is 9 + 180 + 2700 = 2889 digits.

The probability that River chooses a 7 is the number of 7s divided by the total number of digits, which is 321/2889. Simplifying this fraction, we get a probability of approximately 0.111 or 11.1%.

The tree diagram shows Pam's choices for her appetizer and meal at a restaurant How many choices include chicken?

A) 1
B) 2
C) 3
D) 4

Answers

D) 4

There are 4 choices that include chicken

EASY POINTS!!!!! FIRST CORRECT ANSWER GETS 5 STARS PLUS A THANK YOU, AND MORE THAN 20 POINTS!!!

Answers

Answer:

D

Step-by-step explanation:

D, because it has infinite solutions, or both sides simplify down to 0.

Hope this helps!

A robot that makes __/8 of a boat per day will make 7 boats in 8 days

Answers

Answer:

7/8

Step-by-step explanation:

7 represents the # of boats

Answer:

7/8 of a boat

Step-by-step explanation:

Because 7/8*8= 7 boats

You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the incline plane is 10 ft from the shelving unit. What is the length of the incline​ plane?

Answers

Final answer:

To determine the length of an inclined plane given the height (6 ft) and base (10 ft), use the Pythagorean theorem, which reveals that the length of the inclined plane is approximately 11.66 feet.

Explanation:

The student is asking about the length of an inclined plane when given the height and the base of the incline. To find the length of the inclined plane, we can use the Pythagorean theorem because the height, base, and the length of the incline form a right triangle.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the length of the incline, the vertical side is the height of the shelving unit (6 ft), and the horizontal side is the base of the incline (10 ft).

The formula is: length of the incline2 = height2 + base2. Plugging in the numbers, we get: length of the incline2 = 62 + 102, which simplifies to length of the incline2 = 36 + 100. The square root of 136 gives us the length of the incline, which is approximately 11.66 feet.

Please Help ASAP!!!
Question in image below.

Answers

Angle G is common to both of the triangles.

HELP PLEASEEEEEEEEEEEE

Answers

Answer:

Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!

Step-by-step explanation:

what is the circumference of a circle when the radius is 7

Answers

Answer:

43.98

Step-by-step explanation:

pier2

Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 6 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
————- infected
in the wildlife preserve.

Answers

Answer:

720 elk I think (sorry if wrong)

4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?​

Answers

Answer:

It will be $8

Step-by-step explanation:

100x0.08=8

100+8=108

Answer:

$8

Step-by-step explanation:

we mulitiply $0.08 by our money spent,

$0.08X$100

=$8 in sales tax.

Use the graph to identify the amplitude for each
function shown.
The amplitude of the function shown in orange is
The amplitude of the function shown in blue is
The amplitude of the function shown in green is

Answers

Answer:

6

4

3

Step-by-step explanation:

Answer:

Use the graph to identify the amplitude for each function shown.

The amplitude of the function shown in orange is

✔ 6

.

The amplitude of the function shown in blue is

✔ 4

.

The amplitude of the function shown in green is

✔ 3

.

Step-by-step explanation:

This from my answers.

Can someone help me PLS :)

The graph of an exponential function is shown below.
Which of the following is not true about the graph?

A. The y-intercept is 3.

B. The asymptote is y = 0.

C. The graph represents exponential growth.

D. The initial value of the function is 3.

Answers

Answer:

C

Step-by-step explanation:

The graph in this case represents exponential decline.


Christina bought a purse for $29.95 and x belts for $3.99 each. Which of the following expressions shows the total amount of money she spent?
29.95x + 3.99 29.95x + 3.99x 29.95 + 3.99 + x 29.95 + 3.99x

Answers

Answer:

29.95 + 3.99x

Step-by-step explanation:

she bought one purse and x number of belts for 3.99

Answer:

29.95+3.99x

Step-by-step explanation:

Simplify the expression:
P +7p + 5p
Oh

Answers

Answer:

Option A, 13p

Step-by-step explanation:

Step 1:  Simplify

[tex]p + 7p + 5p[/tex]

[tex](p + 7p) + 5p[/tex]

[tex]8p + 5p[/tex]

[tex]13p[/tex]

Answer: Option A, 13p

please help

pleaze plz​

Answers

Given:

Deposit (P) = £2000

Rate of interest (r) = 3%

Time (t)= 2 years

Number of time interest calculated per year (n) = 1

To find:

Amount in the account after 2 years

Solution:

Compound interest formula:

[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]

Substitute the given values.

[tex]$A=2000\left(1+\frac{3\%}{1}\right)^{1\times 2}[/tex]

To convert percentage into fraction divide by 100.

[tex]$A=2000\left(1+\frac{\frac{3}{100} }{1}\right)^{1\times 2}[/tex]

[tex]$A=2000\left(1+\frac{0.03 }{1}\right)^{ 2}[/tex]

[tex]$A=2000\left(1+0.03\right)^{ 2}[/tex]

[tex]$A=2000\left(1.03 }\right)^{ 2}[/tex]

[tex]$A=2121.8[/tex]

Therefore, £2121.8 will be in the account after 2 years.

Simplify [tex]\sqrt{4}[/tex]
_____________
[tex]\sqrt[3]{4}[/tex]

Answers

Taking the square root of a number means finding a number that when you square it, it equals the number in the square root.

√4 = 2 because 2² = 4

³√4 is already simplified.

Best of Luck!

Can somebody help me with the next question

Answers

Yep, sure. Which question?

Rewrite the function by completing the square h(x) =4x^2+4x+1​

Answers

Answer:

4(x + [tex]\frac{1}{2}[/tex] )²

Step-by-step explanation:

Given

h(x) = 4x² + 4x + 1

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² + 4x

h(x) = 4(x² + x) + 1

add/subtract ( half the coefficient of the x- term )² to x² + x

h(x) = 4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1

      = 4(x + [tex]\frac{1}{2}[/tex] )² - 1 + 1

      = 4(x + [tex]\frac{1}{2}[/tex] )²

Answer:

Step-by-step explanation:

4(x+1/2)^2+0

The first box is 4

The second box is 1/2

the third box is 0

2(x − 6) − 24 = 13 − 5x

x =

Answers

Answer:

X=5

Step-by-step explanation:

2=1/4 4+ b how do I find the y intercept?

Answers

Answer:

you intercept 2 with the 46721

Step-by-step explanation:

2=64=1/4/5_=24

help me with the question below

Answers

Answer:

122

Step-by-step explanation:

a^2 + b^2 = c^2

(only in right angled triangles)

Answer:

122

Step-by-step explanation:

Select the correct answer.
What is a demand schedule?
A.
a chart that shows the demand for a type of product at various prices
B.
a graph that shows the demand for a product at a single price point
C. a chart that shows the demand for a product at various prices
Reset
Next

Answers

C is most likely the correct answer, considering that it shows demand

What expression is equivalent to 5/2

Answers

Answer:

2 1/2

You didnt give us any option or choices

Step-by-step explanation:

I would like to help but there is no choices

True or False: If your expression contains more than one set of parentheses, you should evaluate all of them
before doing anything else.
B
False

Answers

Answer:

You should evaluate whatever is in the parenthesis first.

By standardization of algebra, we can say that the statement is true, you should evaluate the parentheses at the beginning.

In general problems, we usually use parentheses to separate larger problems in smaller ones. The benefit of doing this is that we can tackle these smaller problems one by one instead of a larger problem all at once.

Whit this in mind, when an expression has several sets of parentheses, the first thing that you need to do is simplify them by evaluating them, so yes, the statement is correct.

If you want to learn more about algebra, you can read:

https://brainly.com/question/7784687

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