Norma's credit card balance at the end of the 7th month is $1,487.22.
How to solveCalculate the interest for each month.
Interest = (Previous month's balance * APR) / 12
Calculate the new balance for each month.
New balance = Previous month's balance + Purchases + Interest - Payments
Here's the calculation for each month:
Month 1:
Interest: 0 (No interest on the first month)
Balance: $500 + $0 = $500
Month 2:
Interest: ($500 * 0.16) / 12 = $6.67
Balance: $500 + $200 + $6.67 - $10 = $696.67
Month 3:
Interest: ($696.67 * 0.16) / 12 = $9.29
Balance: $696.67 + $300 + $9.29 - $20 = $986.29
Month 4:
Interest: ($986.29 * 0.16) / 12 = $13.15
Balance: $986.29 + $100 + $13.15 - $20 = $1079.44
Month 5:
Interest: ($1079.44 * 0.16) / 12 = $14.39
Balance: $1079.44 + $150 + $14.39 - $10 = $1233.83
Month 6:
Interest: ($1233.83 * 0.16) / 12 = $16.45
Balance: $1233.83 + $0 + $16.45 - $15 = $1235.28
Month 7:
Interest: ($1235.28 * 0.16) / 12 = $16.47
After all the computations, taking into consideration the amount spent and paid earlier,
Norma's credit card balance at the end of the 7th month has amounted to $1,487.22.
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Norma's credit card has an APR of 16%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below.
Month Purchases Payments
1 $500 $0
2 $200 $10
3 $300 $20
4 $100 $20
5 $150 $10
6 $0 $15
7 $250 $15
Calculate Norma's credit card balance at the end of the 7th month.
Answer: 389.46
Step-by-step explanation:
Add all payments received.
trust
Does (9,6) make the inequality y > 6 true?
No. The inequality is false.
In the given point (9,6) the second number is the Y value.
So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.
For the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D. Find the m∠DAC if m∠ADB = 20°, m∠DBC = 60°.
Answer:
70°
Step-by-step explanation:
If in the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D, then
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC.Consider triangles ABD and CBD. In these triangles,
∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC;BD ≅ BD.Hence, triangles ABD and CBD are congruent by ASA postulate.
So, AD ≅ DC.
Now, consider triangle ADC. This is an isosceles triangle, because AD ≅ DC. In this triangle, m∠ADC = m∠ADB + m∠BDC = 20° + 20° = 40°. AC is the base. Angles DAC and DCA are congruent as adjacent angles to the base AC, so
m∠DAC = 1/2 (180° - 40°) = 70°
Answer:
m∠DAC = 70°
m∠ACB = 30°
Step-by-step explanation:
The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
35° and 55°
Step-by-step explanation:
The sum of the angles of a right rectagle is 180°, with a right angle of 90°.
The tell us that A = 2B-15, so:
180° = 90° + A + B
180° = 90° + 2B - 15 + B
180° - 90° + 15 = 2B + B
105° = 3B
B = 105°/3 = 35°
Now, let's find A:
A = 180° - 90° - 35° = 55°
Using the properties of a right triangle and setting up an equation based on the relationship between the two small angles, we find that the angles measure 35 degrees and 55 degrees, respectively.
To solve the problem involving the angles of a right triangle, we recall that the sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is always 90 degrees, which leaves a total of 90 degrees to be shared between the other two angles.
If we let x represent the measure of one of the small angles, then the problem tells us that the other angle is 2x - 15 degrees.
Therefore, we can set up the following equation to solve for x:
x + (2x - 15) + 90 = 180
Combining like terms gives us:
3x - 15 + 90 = 180
3x + 75 = 180
Now, we subtract 75 from both sides of the equation:
3x = 105
Finally, we divide by 3 to find the measure of x:
x = 35
Having found that one of the small angles measures 35 degrees, we can now find the other small angle:
2x - 15 = 2(35) - 15
= 70 - 15
= 55 degrees.
So, the two small angles of the right triangle are 35 degrees and 55 degrees.
Quadrilateral LMNO is reflected over the y-axis. What are the coordinates of the image of the vertex N?
A. (-4, 3)
B. (4, 3)
C. (-4, -3)
D. (4, -3)
Answer:
B
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
N(- 4, 3 ) → N'(4, 3 ) → B
Answer:
B. (4, 3)
Step-by-step explanation:
Since N is four units to the left of the y-axis, reflecting it would make it four units to the right of the y-axis, so you would base this off of the y-coordinate.
I am joyous to assist you anytime.
Find the quotient of -4 and -9
Answer:
4/9
Step-by-step explanation:
dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9
Sixty-six times the sum of nineteen plus fourteen in numerical expression
Answer:
Expression: 66(19+14)
Answer: 2178
Step-by-step explanation:
66(19+14)
66(33)
2178
Answer:
66 x 19 + 14
And because I wanna use my brain, the answer to that equation is 1268
How many times greater is 1 kilogram than 1 microgram?
A. 10^9
B. 10^-9
C. 1/10^9
D. 10^8
Final answer:
1 kilogram is 10^9 times greater than 1 microgram because 1 kg equals 1000 grams, and there are 10⁶ micrograms in a gram, equating to 10⁹ µg/kg.So,option A.10⁹ is correct.
Explanation:
To determine how many times greater 1 kilogram is than 1 microgram, we need to understand the metric prefixes and their corresponding values. Knowing that 'micro' denotes 10⁻⁶, we can establish that 1 microgram (µg) equals 10⁻⁶grams (g). Since 1 kilogram (kg) equals 1000 grams, we then convert kilograms to micrograms by multiplying by 10⁶:
1 kg = 1000 g x 10⁶ µg/g = 10⁹ µg.
Thus, 1 kilogram is 10⁹ times greater than 1 microgram, which corresponds to option A.
write the equation of each line in point slope form.then graph the line
Slope -1/2, y-intercept 2
Answer:
[tex]y - 3 = - \frac{1}{2}(x + 2)[/tex]
Explanation:
I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:
I am joyous to assist you anytime.
** It does not matter which coordinate you choose, as long as it falls on the line.
PLEASE HELP! ILL MARK BRAINLIEST
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x - 15)^2
Shift the graph of y = x2 right 15 units.
Shift the graph of y = x2 left 15 units.
Shift the graph of y = x2 down 15 units.
Shift the graph of y = x2 up 15 units.
Answer:
A,shift the graph of y =x2 right 15 units
Step-by-step explanation:
The new equation is subtracting 15 from the value of x.
When you subtract a number from x, the graph moves to the right by the number you subtract.
x-15, shifts the graph right 15 units.
The answer is: Shift the graph of y = x2 right 15 units.
One box is 4 feet 9 inches tall, one is 3 feet 10 inches tall, and one is 3 feet 7 inches tall. How high is the stack?
Answer:
146 in
12ft 2in
Step-by-step explanation:
4ft 9 = 4*12+9=48+9=57
3ft 10 = 3*12+10=36+10=46
3ft 7 = 3*12+7=36+7=43
57+46+43=146
146/12 = 12ft remainder 2
12ft 2in
Find the quotient.
22 ÷ (-11) (work shown )
Answer:
-2
*Remember- negative ×/÷ positive= negative. Negative ×/÷ negative=positive.
Explanation:
22÷ -11 (The parenthesis arn't really necessary)
Okay, so you are going to ignore the negative and pretend they are both positive.Divide like normal- how many times does 11 go into 22? 11×2=22. 2 is your answer.Now, is it negative or positive? Look back at the * above. Looking at that, what's your answer? Well, you divided 22 by -11. Negative ÷ positive= negative. Therefore, your answer is -2I hope I was helpful! :D
What’s the answer to
(x+y+ 3)(x+y-4)
The answer is [tex]x^2 + 2xy + y^2 - x - y - 12[/tex]
Put these numbers in order from least to greatest
1.82, 1.6, 1 4/5
Answer:
1.6, 1 4/5 (1.8), 1.82
Step-by-step explanation:
Answer:
1.6;1 4/5;1.82
Example 2: A Real World Example
Maria decides to take a walk along Central Avenue to purchase a book at the bookstore. On her way, she passes the
Furry Friends Pet Shop and goes in to look for a new leash for her dog. Furry Friends Pet Shop is seven blocks west of the
bookstore. She leaves Furry Friends Pet Shop and walks toward the bookstore to look at some books. After she leaves
the bookstore, she heads east for seven blocks and stops at Ray's Pet Shop to see if she can find a new leash at a better
price. Which location, if any, is the farthest from Maria while she is at the bookstore?
Determine an appropriate scale, and model the situation on the number line below.
HHHHHHHH
Explain your answer. What does zero represent in the situation?
Answer:
Both pet stores are an equal distance away from the book store.
East and West are opposites and she has to go 7 in each direction (from the bookstore) to reach each pet store
what is a trinomial?
Answer:
(of an algebraic expression) consisting of three terms.
Example:
3x2 − 3y2 + 2
square root of 15 rounded to the nearest hundredth
The square root of 15 is approximately 3.872983346. However, when rounded to the nearest hundredth, it is 3.87.
Explanation:The question is asking for the square root of 15 rounded to the nearest hundredth. The square root of any number is the value that, when multiplied by itself, gives the original number. It's generally represented with the symbol √.
In the case of 15, if you type in your calculator the square root of 15, you get an answer of approximately 3.872983346. However, the student question asks for this value rounded to the nearest hundredth. Thus, you would round this to 3.87. So, the square root of 15 rounded to the nearest hundredth is 3.87.
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Final answer:
The square root of 15 is approximately 3.87 when rounded to the nearest hundredth, following the rules of rounding where you round down if the third decimal is less than 5.
Explanation:
The question asks for the square root of 15 rounded to the nearest hundredth. To find this, we calculate the square root using a calculator, which gives us an approximate value. We then apply the rules of rounding: if the digit after the hundredths place is 5 or higher, we round up, and if it is lower than 5, we round down. This ensures that our answer is as close as possible to the actual square root without exceeding two decimal places.
Performing the calculation, we find that the square root of 15 is approximately 3.87298. Since the third decimal place (after the hundredth) is '2', which is less than 5, we round down. Therefore, the square root of 15 rounded to the nearest hundredth is 3.87.
Write 500,000 in expanded form
Answer:
500,000
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
Expanded Factors Form:
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Expanded Exponential Form:
5 × 105
+ 0 × 104
+ 0 × 103
+ 0 × 102
+ 0 × 101
+ 0 × 100
Word Form:
five hundred thousand
Step-by-step explanation:
Answers above..
What is 9/45 simplified
Answer:
5
Step-by-step explanation:
[tex]\text{Hello there!}\\\\\text{We are simplifying the fraction:}\,\frac{9}{45}\\\\\text{Both 9 and 45 is divisible by 9, so we'll divide both sides by 9}\\\\\text{Divide:}\\\\\frac{9\div9}{45\div9}=\frac{1}{5}\\\\\boxed{\text{Answer:}\frac{1}{5}}}[/tex]
If r is seven more than the square of l , then r =
A) l2 + 7
B) l7 + 2
C) (l + 2)7
D) (l + 7)2
adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form
Adam drove at an average speed of 70 miles per hour.
Explanation:The speed at which Adam drove can be calculated using the formula for speed: speed = distance / time. In this case, Adam drove 280 miles in 4 hours. So to calculate his average speed in hours per mile, we take the provided distance and divide it by the provided time which gives us an average speed of 70 miles per hour.
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combine the like terms
1.4b-[tex]3b^{2}[/tex]+4c-[tex]2b^{2}[/tex]+c
Answer:
If your asking us to just combine like terms it would be -3b^2-2b^2+1.4b+4c+c
but if your asking us to answer the question it would be -5b^2+1.4b+5c
Hope I helped :)
This equation graphed is?
Graph the following points:
(-2, -3)
(-1, -2)
(0, -1)
(1, cuberoot{2} -2}
(7, 0)
Maria gave the casheir $50.00 to pay for three shirts. The casheir gave her back $8.75 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each shirt?
Answer:
$13.75
Step-by-step explanation:
First figure out how much she paid, by taking the change from the $50
50 - 8.75 = 41.25
She paid $41.25 dollars on three tee-shirts.
Now take how much she spent and divide it on the number of items (tee-shirts) to figure how much each one cost.
41.25 divided by 3 = 13.75
$13.75
Each Tee-shirt cost $13.75
Final answer:
To find the cost of each shirt, subtract the change given from the total amount paid and then divide by the number of shirts purchased.
Explanation:
In this scenario, Maria paid $50.00 for three shirts and received $8.75 in change. To find the cost of each shirt, we subtract the change from the total amount she gave. $50.00 - $8.75 = $41.25. Since she bought three shirts, we divide $41.25 by 3 to find the cost of each shirt. The cost of each shirt is $13.75.
Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 4 defense cards, he owns 2 offense cards. Which graph represents the proportional relationship between his defense and offense cards?
Only the graph A represents the proportional relationship between the variables.
Given that :
For every 4 defense cards ; there are 2 offense cards :
Defense cards = y
Offense cards = x
For proportional relationship :
y α x
y = kx
k = y/x
k = constant of proportionality
k = 4/2
k = 2
y = 2x
The value of y when x = 4
The value of y when x = 4 When ; x = 4
The value of y when x = 4 When ; x = 4 y = 2×4 = 8
Only graph A gives the proportional value of y when x = 4
Hence, Graph A represents the proportional relationship between defense and offense.
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Final answer:
The correct graph would show a straight line through the origin with a slope of ½, reflecting the 2:1 ratio of defense to offense sports game cards Chad owns.
Explanation:
The subject of this question is Mathematics, and it pertains to the concept of ratios and proportional relationships, which is typically taught at the Middle School level. To determine which graph represents the proportional relationship between Chad's defense and offense sports game cards, we must consider that for every 4 defense cards, he owns 2 offense cards. This establishes a constant ratio of defense to offense cards of 2:1.
A graph that accurately represents this relationship would be a straight line through the origin (0,0) that has a slope of ½, because for every 2 units increased in the defense (x-axis), there should be a 1 unit increase in the offense (y-axis). This is because the graph of a proportional relationship is always a straight line that passes through the origin, and the slope of the line reflects the ratio of the quantities compared.
(x^2 +9x +20) ÷ (x+5)
Answer:
x+4
Step-by-step explanation:
3x² -2 = ab
express x as the subject of formula
Answer:
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Step-by-step explanation:
Given
3x² - 2 = ab ( isolate the x² term by adding 2 to both sides )
3x² = ab + 2 ( divide both sides by 3 )
x² = [tex]\sqrt{\frac{ab+2}{3} }[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Answer:
x = √ [(ab + 2)/ 3]
Step-by-step explanation:
3x^2 - 2 = ab
3x^2 = ab + 2
x^2 = (ab + 2)/ 3
x = √ [(ab + 2)/ 3]
Write two inequalities using a number pairs using the symbols < or >
5 and -11
Answer:
5 <-11
Step-by-step explanation:
5 is greater than -11
6
5
4
3
2
1
0
-1
-2
-3
-5
-6
-7
-8
-9
-10
-11
The inequalities created from the number pair 5 and -11 are '5 > -11' and '-11 < 5'. These represent that 5 is greater than -11 and that -11 is less than 5.
Explanation:To write two inequalities using the number pairs 5 and -11 with the symbols < and >, we consider the numeric value and sign of the numbers. We know that any positive number is always greater than a negative number. This gives us the first inequality: 5 > -11
Now, if we want to write an inequality using <, then we swap the order of numbers. Thus: -11 < 5
These statements tell us that 5 is greater than -11 and -11 is less than 5, which demonstrates how to use < and > inequalities with numbers.
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Solve the system of equations. y = x ^ 2 - 3x + 6 y = 2x + 6
Answer:
the answer is A.
Step-by-step explanation:
The values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
What is equation?Equation is relationship between two or more variables that are expressed in equal to form.Equations of two variables look like ax+by=c.It may be linear equation, quadratic equation,cubic equation.
How to solve the equation?We have been given two equations as y=[tex]x^{2}[/tex]-3x+6 and y=2x+6 and we are required to solve the equations for the value of x.
Putting the value of y from second equation in first equation.
2x+6=[tex]x^{2}[/tex]-3x+6
Cancellng 6 from both sides.
[tex]x^{2}[/tex]-5x=0
x(x-5)=0
x=0,x-5=0
x=0,x=5
Putting the values of x in second equation to get the value of y.
y=2x+6
y=2(5)+6
=10+6
y=16
y=2x+6
y=2*0+6
=6
Points will be (0,6),(5,16).
Hence the values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
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At a stock exchange there were a total of 10,000 shares sold in one day. Stock A had four times as many
shares sold as Stock B. The number of shares sold for Stock C was equal to the sum of the numbers of
shares sold for Stock A and Stock B. How many shares of each stock were sold?
shares of Stock A were sold,
were sold.
shares of Stock B were sold, and
shares of Stock
What’s the answer
Answer:
Share sold by Stock A = 4000, Stock B = 1000 and Stock C = 5000
Step-by-step explanation:
Total sold sold = 10000
i.e. [tex]A + B + C = 10000[/tex] ....(1)
Shares sold by stock A = 4 × Shares sold by stock B
i.e. [tex]A = 4B[/tex] ....(2)
Shares sold by stock C = Shares sold by stock A + Shares sold by stock B
i.e. [tex]C = A + B[/tex] ....(3)
substituting value of [tex]A[/tex] from (2) in (3) we get
[tex]C = 4B + B = 5B[/tex] ....(4)
substituting value of [tex]A[/tex] and [tex]C[/tex] from (2) and (4) in (1) we get
[tex]4B + B + 5B = 10000\\10B = 10000\\B = 1000[/tex]
[tex]A = 4B = 4*1000 = 4000[/tex]
[tex]C = 5B = 5*1000 = 5000[/tex]
ASAAAPPPPP
what is f(x) = 3(x+3)-3
Answer:
Step-by-step explanation:
[tex]f(x) = 3(x + 3) - 3[/tex]
[tex]f(x) = 3x + 9 - 3[/tex]
[tex]f(x) = 3x + 6[/tex]