Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?
Answer:
Step-by-step explanation:
C
The lines are have one solution and are consistent and Independent.
What is Consistent and Inconsistent?Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.
Given:
y = 0.5x
2y = x + 4
Now solving the Above Equation
2(0.5x) = x+ 4
x = x+ 4
0 = 4
and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]
Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]
Then, the lines are have one solution and are consistent and Independent.
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root 25-2(3+4*(-2)) whole square
Answer:
-45.
Step-by-step explanation:
I am assuming you mean
√25 - 2(3 +4(-2))^2
= 5 - 2(3-8)^2
= 5 - 2 * (-5)^2
= 5 - 2*25
= -45.
21 +3+ (3 x 9) * 9+5
Answer:
272
Step-by-step explanation:
Do you need this?
Answer:
272
Step-by-step explanation:
A class has 6 boys and 14 girls. What is the ratio in simplest form?
Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7
Step-by-step explanation:
The factors of 6-1,2,3,6
The factors of 14-1,2,12,14
The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.
6^-2 = PLEASE HELP .....................................................................
Answer:
6^-2 =0.02777777777
Step-by-step explanation:
A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=
Answer:
61.37
Step-by-step explanation:
this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters
take x as the width
x plus 10 as the length
2x plus 10 equals 7544 squared
so square root 7544 minus 10 divided by 2
note that it must be done all at once u cant do it seperately
x is 61.37 dont forget to add 10
How many quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution?
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
2 quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution.
Looking at the concentrations.
100% of x quarts is x quarts of antifreeze.
30% of 5 quarts is .3(5) quarts antifreeze.
Adding that we have 5+x quarts and we want
50% of that to be antifreeze so the total is
.5(x + 5)
x + .3(5) = .5(5+x)
x + 1.5 = 2.5 + .5x
x - .5x = 2.5 - 1.5
.5x = 1
x = 1/.5 = 2 quarts pure antifreeze.
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Calculate the average speed between 120 s and 160 s
Average Speed = Total Distance / Total Time
Given:Total Distance = 150 m
Total Time = 160 - 120 = 40 s
To Find:Average Speed
Solution:Average Speed = 150/40
Average Speed = 3.75 m/s
Answer:3.75 m/s
Need help -5(1+2k)-8(-4+5k)
Answer:
27 - 50k
Simplify
1. Distribute
-5 ( 1 + 2k ) - 8 ( -4 + 5k )
-5 - 10k - 8 ( -4 + 5k )
2. Distribute
-5 - 10k - 8 ( -4 + 5k )
-5 - 10k + 32 - 40k
3. Add the numbers
-5 - 10k + 32 - 40k
27 - 10k - 40k
4. Add the same term to both sides of the equation
27 - 10k - 40k
27 - 50k
Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours
Answer:
478 hours
Step-by-step explanation:
You would divide 239,000 by 500.
Compare the number of stars to the number of circles. If the ratio remains the same, how many stars will there be when there are 15 circles?
There is 4 stars 3 circles
Answer:
the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works
Step-by-step explanation:
Last week, Benjamin spent $82.80 on groceries and $132.48 on bills. The amount he spent on groceries
was 15% of his paycheck. What percent of his paycheck did Benjamin spend on bills?
Answer:
amount spend on groceries = 82.80
percent spend in groceries = 15%
let total paycheck be x
15%of x= 82.80
x=552
percent spend on bills = 132.48/552 = 24%
Step-by-step explanation:
A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
Round 2,516 to the nearest hundred.
Answer:
2,500
Step-by-step explanation:
- The area of a triangle is 9.45 m2. If the base is 2.65 m, what is the height?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]
Step-by-step explanation:
Area of a triangle ( A ) = 9.45 m²
Base of a triangle ( b ) = 2.65
Height of a triangle ( h ) = ?
Finding the height of a triangle
[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]
[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]
[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]
Hope I helped!
Best regards! :D
Solve using the multiplication principle. -80>16x
Answer:
-5 > x
Step-by-step explanation:
-80>16x
Divide each side by 16
-80/16>16x/16
-5 > x
Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?
solve: 3(2x+1)-2(x-5)-5(5-2x)=16 value of x?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :
[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]
Distribute 3 through the parentheses
[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]
Distribute 2 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]
Distribute 5 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]
Combine ike terms and simplify it
Like terms are those which have the same base
[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]
Add the numbers : 3 and 5
[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]
Move 17 to right hand side and change it's sign
[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]
Add the numbers: 16 and 17
[tex] \mapsto{ \sf{14x = 28}}[/tex]
Divide both sides by 14
[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]
Calculate
[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]
The value of x is 2
Hope I helped!
Best regards!
~TheAnimeGirl
Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1
Answer:
What we suppose to be answering?
Step-by-step explanation:
What are the values of the two 3s in 3,435?
Answer:
The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.
Answer: 3,435
Least place value to largest largest place value-
5-ones place
3-tens place
4-hundreds place
3-thousands place
I hope that worked!
Find two consecutive integers whose product is 12.
Select all the statements that are true.
Answer:
Sqrt(7) is irrational because 7 is not a perfect square.
7.1234... is irrational because it is a nonterminating nonrepeating decimal.
Step-by-step explanation:
A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.
An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.
All options other than the two selected do not make sense. Pi is irrational because it is a nonrepeating nonterminating decimal.
Cheers.
what is the area of a small triangle.
Answer:
u can figure it out by using the formula 1/2 the base x height
Step-by-step explanation:
Answer:
to find the area of a triangle you will do A(area)=h(height)times b(base) over 2
A man’s age today is three years less than four times the age of his oldest daughter,Let a represent the daughters age.Write an equation to match the scenario.
6(2x-3)-8=-2
Solve for x! Tyy
Answer:
x=2
Step-by-step explanation:
use distributive property for the first part the solve like usual
hope this helped
6(2x -3) - 8 = -2 (remove the parantheses)
12x - 18 - 8 = -2 (calculate)
12x - 26 = -2 (move the constant to the right)
12x = -2 + 26 (calculate)
12x = 24 (divide both sides)
x = 2
In a certain field, the ratio of pigs to sheep is 8 3 . If there are 165 pigs and sheep altogether in a field, how many sheep are there?
Answer:
440 I think haven't done these questions in a while.
Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.
Answer:
see below
Step-by-step explanation:
given:
LCM(a,b) = 20160, a=60
find:
smallest possible value of b
solution;
60, b = 20,160
b = 20,160 / 60
b = 336
60 x 336 = 20,160
= 2⁶ x 3² x 5 x 7
= (2² x 3 x 5) x (2⁴ x 3 x 7)
= (60) x (336)
LCM(60,336) = 1680
consider the 2² x 3 to get the prime number:
= 336 x 12
= 4032
therefore,
LCM(60,4032) = 20160
The smallest possible value of b is 336.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
We have been given that
LCM(a,b) = 20160 and a = 60
We have to determine the smallest possible value of b
Since the product of two numbers equals the product of their HCF and LCM.
⇒ 60 × b = 20,160
⇒ b = 20,160 / 60
⇒ b = 336
⇒ 60 × 336 = 20,160
We need to write 20160 as the product of its prime factors, which is 20160.
⇒ 2⁶ × 3² × 5 × 7
⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)
⇒ (60) × (336)
⇒ LCM(60,336) = 1680
Therefore, the smallest possible value of b is 336.
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what number is greater than -4 but less then -2
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3
hope I helped.
ASAP!!! I WANT MORE THAN 1 PERSON TO ANSWER THIS!!!
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Segment EF is twice as long as segment AB.
True/false
B. Segment CD is twice as long as segment FG.
True/false
C. The measure of angle HEF is twice the measure of angle DAB.
True/false
D. The length of segment EH is 16 units.
True/false
E. The measure of angle BCD is the same as the measure of angle GFE.
True/false
Answer: True, False, False, True, False
Step-by-step explanation:
Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.