1. The extension of the table to show the month-end balances until full debt settlement is as follows:
Month Payment Expenses Interest New Balance
0 $0 $0 $0 $1,000
1 $200 $100 $10 $910 ($1,000 - $200 + $100 +$10)
2 $200 $100 $9.10 $819.10 ($910 - $200 + $100 + $9.10)
3 $200 $100 $8.19 $727.29 ($819.10-$200+$100+$8.19)
4 $200 $100 $7.27 $634.56 ($727.29-$200+$100+$7.27)
5 $200 $100 $6.35 $540.91 ($634.56-$200+$100+$6.35)
6 $200 $100 $5.41 $446.32 ($540.91-$200+$100+$5.41)
7 $200 $100 $4.46 $350.78 ($446.32-$200+$100+$4.46)
8 $200 $100 $3.51 $254.29 ($350.78-$200+$100+$3.51)
9 $200 $100 $2.54 $156.83 ($254.29-$200+$100+$2.54)
10 $200 $100 $1.57 $58.40 ($156.83-$200+$100+$1.57)
11 $200 $100 $0.58 ($41.02) ($58.40-$200+$100+$0.58)
Data and Calculations:
Credit card balance = $1,000
APR = 12%
Monthly APR = 1%
Monthly payments = $200
Monthly charge = $100
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Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]
Answer:
6 shirts
Step-by-step explanation:
The cost of a shirt and 2 ties is ...
$18.50 +2(7.50) = $33.50
For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.
Frank can buy 6 shirts (and 12 ties) for an amount less than $205.
_____
Additional comment
Frank's cost will be $201 for that purchase.
If (x + 4) is a factor of f(x), which of the following must be true?
Group of answer choices
f(-4) = 0
Neither x = -4 nor x = 4 are roots of f(x).
Both x = -4 and x = 4 are roots of f(x).
f(4) = 0
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
Simplify the expression, ((p^(-2)+1/p)^1 )^p, when p=3/4, in both radical and rational exponents forms.
Radical form: Rational exponent form:
this question requires two answers please
Answer:
(1/27)252^(3/4)(1/27)fourth root(252^3)Step-by-step explanation:
The exponent of 1 can be ignored. This means we're simplifying ...
[tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]
what is the slope of the line?
the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.
Answer:
You should be able to get your answer by
Step-by-step explanation:
For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.
Hope this helps
What is the value of -2(x+5)
Answer:
-2x-10
Step-by-step explanation:
You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10
Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 37% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped
Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Fail the test.Event B: Unfit.The probability of failing the test is composed by:
46% of 37%(are fit).100% of 63%(not fit).Hence:
[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]
The probability of both failing the test and being unfit is:
[tex]P(A \cap B) = 0.63[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]
0.7873 = 78.73% probability that Mona was justifiably dropped.
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Round 61.373737842 to the nearest ten-millionth
Answer:
61.3737378
Step-by-step explanation:
First find the ten millionth digit, and the digit after it.
The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.
As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.
Thus the answer is 61.3737378
plzz help don't understand
Answer:
3b
Step-by-step explanation:
[tex]3\sqrt{b^{2} }[/tex]
= 3b
1+×= ???? answer it
Answer:
1+x=x
Step-by-step explanation:
1 is only one letter
4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?
The number of Wildcat fans were at the game is 3557.
The number of bears fans at the game is 1269.
Let:
W = number of wildcats fans at the game
B = number of bears fans at the game.
The total number of fans at the game: W + B = 4826
This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250
Replace for w in the above equation:
3b - 250 + b = 4826
To determine the value of b, take the following steps
Combine and add similar terms
4b = 5076
Divide both sides by 4
b = 1269
To determine the value of w, substitute for b in the first given equation.
W + 1269 = 4826
w = 4826 - 1269
w = 3557
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Anyone to help me answer this question am giving the brainliest
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
As we know,
[tex] \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }[/tex]and
[tex] \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }[/tex]now, let's add them as shown ~
[tex] \boxed{\sin(a + b) + \sin(a - b)} [/tex][tex] \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }[/tex][tex] \boxed{2 \sin(a) \cos(b) }[/tex]you make 12 equal payments your total is 1308 how much is each payment
Answer:
109 is the correct answer
A veterinarian prescribed Sunny, a 75 pound dog, an antibacterial medicine in case an infection emerges after her teeth were cleaned. If the dosage is 4 mg for every pound, how much medicine was Sunny given?
Sunny was given mg of medicine.
Answer:
Step-by-step explanation:
The dog is 75 pounds
1 pound requires 4 mg
75 pounds requires 4*75 = 300 mg
Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price per game?
Answer:
$2 each
Step-by-step explanation:
$14.50-$4.50=$10.00
10.00/5 games =$2 each
Collect the like terms: 5a + 2b + b - 2a
Answer:
5a+2b+b-2a
5a-2a+2b+b
3a+3b
PLEASE NEED THIS ASAP
Answer:
The answer is in the above attachment.
Is there a proportional relationship between x and y? Explain.
Answer:
c
Step-by-step explanation:
14-11=3
12-9=3
10-7=3
8-5=3
Answer:
A
Step-by-step explanation:
It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.
Pls someone help, and fast
Answer:
So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply
7x2.30
=$16.10
For Shop B you must first divide
70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.
so, 7x1.60
=$11.20- then divide 1.60 by 2 = $0.80,
then multiply by 7
=$5.60, then add the the two numbers for Shop B,
$11.20 + $5.60= 16.80
Step-by-step explanation:
So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80
The difference from buying pens from Shop A and Shop B would be $0.70
is 6 x 8 4 x 12 equal or not equal
Answer:
both is 48
Step-by-step explanation:
If your answer is b[tex]\neq[/tex]-10 what does it mean
Answer:
This means that b is not equal to -10.
-2 (x+5) = 4
use the distributive property to solve the equation
Use the Pythagorean Theorem to find the missing length and
then round the result to the nearest tenth.
a = 12, b = 12, C =
Step-by-step explanation:
c = 12√2. or 16.968.
hope this helps you.
Since both a & b have the same measurements, the triangle is a right angled isosceles triangle (we use pythagorean theorem only for right angled triangles). So, C is obviously the hypotenuse of the triangle (the longest side).
According to the pythagorean theorem,
Hypotenuse² = Base² + Altitude²
C² = A² + B²
C² = 12² + 12²
C² = 144 + 144
C² = 288
C = √288
C = 16.975
C = 17 (approx.)
______
RainbowSalt2222 ☔
I am having a hard time on solving this question x4−85=−92 does someone know how to explain it?
Answer:
X equals positive -1.75
Step-by-step explanation:
because X is muliplying by the common number attached to it (4)
-1.75 times 4 equals -7
thus being -7-85= -92
Answer:
well you have to solve for X so -1.75 times 4 equals -7 then solve. so your answer would be- X equals positive -1.75
Solve for x.
−2x−1+3x=7
x=−2
x=−1
x = 6
x = 8
Answer:
x=8 is the answer. x-1=7 => x=7+1= 8
find the slope from the pair of points (0,-5) (2,5)
Step-by-step explanation:
given points,
(0,-5) and (2,5)
we know,
slope = y2 - y1 / x2 - x1
→ 5 - (-5) / 2 - 0
→ 5+5/2 = 10/2
→ 5
therefore, slope of the line is 5.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
Hello, Sorry To bother you nice ppl but more questions awaits u :)
Answer:
B. -2x + 10 is the correct answer
Answer:
(C) -2x + 10
Step-by-step explanation:
This is going to be multiplication from the first number outside the "Bubble"
-2 multiplied by x = -2x ,
why ? because a negative times a positive makes a negative
Next is -2 multiplied by -5 = 10
why ? because a negative times a negative = equals a positive !
now .. you add up all of the sums together to make an equation ..
Answer would be -2x+10
What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77
Answer:
Its a
Step-by-step explanation: