The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
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Factor the polynomial 49n^2+168n+144
Answer:
(7n+12)^2 or (7n+12)(7n+12)
Step-by-step explanation:
Answer:
(7n+12)^2 or (7n+12) (7n+12)
Step-by-step explanation:
Both answers are the same thing it's just shortened with the first equation.
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards
Answer:
C = 13
Step-by-step explanation:
A²+B²=C²
where c is the hypothenuse
5²+12²=c²
25+144=c²
169=c²
√169 = c
13 = c
What are the types of polygons?
Answer:
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon
Answer:
1.Regular Polygons.
2.Irregular Polygons.
3.Concave Polygons.
4.Convex Polygons.
5.Trigons.
6.Quadrilateral Polygons.
7.Pentagon Polygons.
8.Hexagon Polygons.
Step-by-step explanation:
(100 Points) (Marking as Brainiest)
Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 450 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
The common difference d is
(41–11) / (10–5) = 6.The first term is
11 - 6(5–1) = -13.so , the first term is -13
Answer:
-13Step-by-step explanation:
The fifth term:
[tex]a_5=a+4d = 11[/tex]The 10th term:
[tex]a_{10}=a+9d=41[/tex]Subtract side-by-side and find d:
9d - 4d = 41 - 115d = 30d = 6Find the first term:
a = 11 - 4*6 a = 11 - 24a = - 137. What are the slope and y-intercept of y=3x-5?
Answer:
slope = 3
y-intercept = -5
Step-by-step explanation:
y = mx + b
m = slope; b = y-intercept
y = 3x - 5
y = 3x + (-5)
m = 3 = slope
b = -5 = y-intercept
Answer:
The slope is 3 and the y-intercept is negative 5.
The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
To all who are good at math please help 80 points
Answer:
Number 4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is the slope of y =4 - 2x ?
Answer:
−2.
Step-by-step explanation:
y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.
I need an emergency help plssssss! :(
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]
[tex]\\ \sf\longmapsto X^0[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
find an equation of the line that passes through the points (-3,10) and (2,-5)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +5 (from -3 to 2)
y changes by -15 (from 10 to -5)
so, the slope is -15/+5 = -3
the equation looks now like
y = -3x + b
let's use the first point
10 = -3×-3 + b = 9 + b
1 = b
so, the equation is
y = -3x + 1
Solve for x.
5 = 2x − 3
(✿◡‿◡)
Answer: x=4
Step-by-step explanation:
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
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Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
4. Which of the following is the equation of a line that is perpendicular to a line that
goes through points at (-1,5) and (1, -3) and contains point (4, -4)?
A. y = - 4x - 5
B. y = - 4x - 3
C. y = 1/4 x - 3
D. y = 1/4 x – 5
Answer:
C. y = 1/4 x - 3
Step-by-step explanation:
Solve for value of y
(9y - 6) + 51 = 90 (right angle)
9y - 6 + 51 = 90
9y - 6 = 90 - 51
9y - 6 = 39
9y = 39 + 6
9y = 45
y = 45/9
y = 5
_______
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
216+5( 8+1/5) Please i need it asap ty!
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
28.5 is 30% of what number
Answer: 28.5 is what percent of 30? = 95.
Step-by-step explanation:
The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector
Answer:
Step-by-step explanation:
Altitude or height
Answer
It is known as altitude
There are three such altitudes and the point of intersection of these altitudes
is called as orthocentre
Answer the question below:
A: 2 units right and 6 units up
B: 6 units left and 2 units down
C: 2 units left and 6 units up
D: 6 units right and 2 units down
Answer:
c
Step-by-step explanation:
- 2/7 divided by - 8/21
I like to use the way flip the second fraction then cross cancel then multiply.
(-2/7)/(-8/21)
= (-2/7)(-21/8) (cross cancel) so 8 / 2 = 4 and 21 / 7 = 3. The 7 and 2 becomes 1.
= (-1/1)(-3/4)
= 3/4 or decimal 0.75
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
= (-2/7) * (-21/8)
=(-2*-21) / (7*8)
=42/56
= 3/4 -simplified
12 Times the product of 43 and a number B
Answer: 12*(43*B)
Step-by-step explanation:
12*(43*B)
The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
find the square root of each by division method:
a) 225 b) 961 c) 3969 d) 10404
If you can give the correct answer first, I'll mark the brainliest.
Refer to the attachment
Answer:
[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]
Step-by-step explanation:
[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]
[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]
[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]
[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]
A cinema has 3 screens
Answer:
screen 1 =200
screen 2 =125
screen 3 =175
Step-by-step explanation:
screen 1 40% of 500 =200
screen 2 25% of 500 =125
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
screen 1 =200
screen 1 40% of 500 =200
screen 2 =125
screen 2 25% of 500 =125
screen 3 =175
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
Hope this helps!!^^
Please help me ASAP this is due in 4 mins
Answer: I would go with A.(B)
Step-by-step explanation:
The graph A. is the correct one
Question is on picture attached
Answer: a. they are alternate exterior angles.
b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.
14x + 2 = 9 + 13x
14x + 2 = 13x + 9
14x = 13x + 9 - 2
14x = 13x + 7
14x = 7 + 13x
14x - 13x = 7
x = 7
To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7
100 = 100
So, we are correct.
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