The amount by Cesar’s minimum monthly payment increase will be $91.44.
What will be the amount?Cesar only has 12 months left before he pays off his credit card completely.
His current balance = $3,750
APR = 17.5%
Now we use the formula :
[tex]\rm Present \ value \ of \ anuity= P=( 1-\frac{1+r}{r} })^{-n}[/tex]
PV = Present Value
P = Periodic payment
r = rate per period
n = number of period
Now for the first case:
PV of annuity = $3,750
P =?
r = 17.5% annually = % monthly monthly
n = 12 months
Now we put the values in the formula
[tex]3750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]
[tex]P=\dfrac{3750}{\dfrac{1-0.8405}{0.01458} }[/tex]
[tex]P=342.91[/tex]
Now for the second Case :
PV of annuity = 3750 + 1000 = 4750
P =?
r = 17.5% annually = % monthly = monthly
n = 12 months
Putting the values in the formula
[tex]4750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]
[tex]P=\dfrac{4750}{1-\dfrac{1+\frac{17.5}{1200} }{\frac{17.5}{1200} } }[/tex]
[tex]P=\dfrac{4750}{\dfrac{0.1595}{0.01458} } =434.35[/tex]
Cesar's increased monthly payment will be
434.35 - 342.91 = 91.44
Hence, the amount by Cesar’s minimum monthly payment increase will be $91.44.
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Help with substitution pls
Answer:
x=4 and y=8
Step-by-step explanation:
this should be correct
2x=-2x+16
4x=16
x=4
and...
y=-y+16
2y=16
y=8
I hope this helps!!
Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved $500?
Answer:
After 30 weeks, Nick will have achieved his goal. The equation will be, 50+15x=500
Step-by-step explanation:
Pedro signed up for a streaming service that cost 13$ per month. The service allows Pedro to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. how much total money would Pedro have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he download s songs?
Answer:
46.75 dollars and 13 + 0.75s = x
Step-by-step explanation:
13+.75S=Monthly payment
13+.75(45)=46.75
If he downloaded 45 songs he would pay 46.75 dollars
If he downloaded S songs he would pay 13 + 0.75s = x
Austin bought three boxes
containing chocolates, each
at $4.61 and four boxes with
pastries, each at $3.20.
How much in total did he
have to pay?
Answer:
$26.23
Step-by-step explanation:
$4.61 times 3 equals $13.83
and $3.20 times 4 equals $12.8
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Janelys can use while staying within her budget.
Answer:
less than 4.7 gigs
Step-by-step explanation:
The cost of Janelys's cell phone plan will be the sum of the flat cost and the product of the per-gig cost and the number of gigs of data she uses.
y = 46.50 +5g
She wants this to be less than $70 per month, so we can find the constraint on her data usage from ...
46.50 +5g < 70
5g < 23.50 . . . . . . . . subtract 46.50
g < 4.7 . . . . . . . . . . divide by 5
Janelys must use less than 4.7 gigs of data to stay within her budget.
Write an expression for "twice as much as a number added to 30."
Step-by-step explanation:
2x = x + 30
due to the fact that x is the number added to 30 and the second number is twice as much as x
if this helped pls give brainliest
"a number increased by thirty-five"
Answer:
x + 35
Step-by-step explanation:
Let x represent a number
Increased means to add
The side accross the right angle is called the
hypotenuse
leg A
leg B
Step-by-step explanation:
I think you mean opposite. If so, then hypotenuse is the answer.
PLEASE HELP I SWEAR I WILL GIVE BRAINLIEST PLEASEE:(:( pic included
Answer:
SoRrY i JuSt NeEd SoMe PoInTs :)
Step-by-step explanation:
Use the substitution method to solve the problem.
10. y = 3x -34
y = 2x -5
14. y = -3x + 4
-6x -2y = -8
Determine the function which corresponds to the given graph. The asymptote is x = -1.
Answer:
y = log(x + 1)
Step-by-step explanation:
Given graph represents a logarithmic graph.
Let the equation of the graph is represented by the logarithmic graph,
y = log(x + b)
This graph passes through origin (0, 0),
For the given point (0, 0),
0 = log(0 + b)
log(1) = log(b)
b = 1
Therefore, the function that corresponds the graph will be,
y = log(x + 1)
What are the solutions of 5-3n > -4?
Answer:
n < 3
Explanation:
Which two line segments represent the legs?
Answer:
WX and XY
Step-by-step explanation:
the legs are usually not the side opposite the right angle (Hypotenuse)
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Step-by-step explanation:
15+8= 23
math magician I like math but I really don't some time know how to do it but if their is wrong then you have to ask your teacher or look in your notebook
HELP HELP HELP THANK YOU
0.6 can be written in fractions form as;
[tex]0.6 = \frac{6}{10} [/tex]
By simplifying the numeration and denominator by 2, you get;
[tex] \frac{3}{5} [/tex]
Now that we have common denominators we can compare both fractions and say that the one with the higher denominator is larger, Hence=
[tex] \frac{4}{5} > \frac{3}{5} [/tex]
[tex] \frac{4}{5} > 0.6[/tex]
Answer:
4/5 > 0.6
Step-by-step explanation:
Given into Decimal:
4/5 = 0.8
Thus, 0.8 > 0.6
Hence, Answer = 4/5 > 0.6
~Learn with Lenvy~
Which of the following values are solutions to the inequality -2> 4x-6?
Answer:
9-
Step-by-step explanation:
What’s the variable in 2n-3=7
Answer:
n
Step-by-step explanation:
As n is an unknown value, it is the variable.
Variable = n
Answer:
n = 5
Step-by-step explanation:
Variable is what we don't know
[tex]2n-3=7[/tex]
[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]
[tex]2n-3+3=7+3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2n=10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2\\[/tex]
[tex]\frac{2n}{2}=\frac{10}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
n = 5
~Learn with Lenvy~
Rectangle LMNP with vertices L(-2, 7),
M(2,3), N(0, 1), and P(-4, 5):
(a) Translation: (x, y) - (x + 6, y-8)
(b) Reflection: in the y-axis
Answer:
L’ is (-4,-1)
M’ is (-8,-5)
N’ is (-6,-7)
P’ is (-2,-3)
Step-by-step explanation:
Here, we want to from new vertices by translation followed by reflection;
When we reflect , we simply change the sign of the x-coordinates if we are reflecting over the y-axis
We proceed as follows;
1. L (-2,7)
Translation will be (-2 + 6, 7-8) = (4,-1)
Reflection will be ( -4,-1)
so L’ is (-4,-1)
2. M (2,3)
Translation will be
(2 + 6, 3-8) = (8,-5)
Reflection will be ( -8,-5)
So M’ is (-8,-5)
3. N (0,1)
translation will be
( 0 + 6, 1-8) = (6,-7)
Reflection will be ; (-6,-7)
4.P (-4,5)
Translation will be (-4 + 6, 5-8)
= (2, -3)
Reflection will be;
(-2, -3)
P’ = (-2,-3)
Use the graph to determine the input values that correspond with f(x) = 1.
Answer:
it would be 0,1
Step-by-step explanation:
How do you write 6.73 in scientific notation?
Answer:
6.73 x 1[tex]0^{2}[/tex]
Step-by-step explanation:
please answer with steps
question down below
Answer:
[tex]k = 9\frac{3}{5},\: k = - 8[/tex]
Step-by-step explanation:
[tex] |5k - 4| + 2 = 46 \\ \\ \implies \: |5k - 4| = 46 - 2 \\ \\ \implies \: |5k - 4| = 44 \\ \\\implies \: 5k - 4 = \pm \: 44 \\ \\\implies \: 5k - 4 = 44 \: \: or \: \:5k - 4 = - 44 \\ \\\implies \: 5k = 44 + 4 \: \: or \: \:5k = - 44 + 4\\ \\\implies \: 5k = 48 \: \: or \: \:5k = - 40\\ \\\implies \: k = \frac{48}{5} \: \: or \: \:k = \frac{ - 40}{5} \\ \\\implies \: k = 9\frac{3}{5} \: \: or \: \:k = - 8\\ \\[/tex]
Please help me figure out which one is greater for a b c
Answer:
A.the first one B.the second one C. the second one
Step-by-step explanation:
A. 17*10 to the power of 8 is just adding 8 zeros so it would be 1700000000 and the other is 400000000 so clearly 17 one is greater
B. 2000000 or 7839000 the second one is bigger
C. 420000000 or 850000000 the second one is bigger
Find the surface area of the following figure.
11 yd
6 yd
C
Answer:
263.76 square yards
Step-by-step explanation:
SA=2(3.14)r^2 + 2(3.14)rh
SA=2(3.14)(3)^2 + 2(3.14)(3)(11)
SA=56.52+207.24
263.76 square yards
Lee says 20% of 70 is more than 70% of 20 Is Lee correct? You must show your working.
Answer:
so he would not be right, since they equal the same number.
Step-by-step explanation:
70x20%, or 70x.20=14
and
20x70%, or 20x.70=14.
please rate and mark as brainlest.
Answer:
Both are equall. 14 =14.....
Step-by-step explanation:
mark me brainly
( How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 5 inches long
Answer:
3 1/3 pi inches
Step-by-step explanation:
since we know that when 20 minutes have passed, the minute hand will have moved 4 intervals (i.e. from 12 to 4), and each interval is 30 degrees by measurement. So 4 intervals have a degree measurement of 120 degrees, which is 1/3 of the whole circle (clock). since there isn't any notation on whether pi is taken as 3.14 or 22/7 or whatsoever, you can just say that it has moved (5x2)pi x 1/3 = 3 1/3 pi inches
What is Y + 4 = -3 (x +1) in standard form?
Answer:
-3x - y = 7
first, distribute -3:
y + 4 = -3x - 3
then get x and y on the same side and the number on the other side for standard form.
add 3 to both sides:
y + 7 = -3x
subtract y from both sides:
7 = -3x - y
Which graph best represents the following equation?
y + 3 = |x – 5|
Answer:
This one
Step-by-step explanation:
The graph of the function y + 3 = |x - 5| is the first diagram given in the options.
What is modulus function ?A modulus function always outputs positive numeric value irrespective of the sign of the input.
According to the given question we have to determine the graph of y + 3 = | x - 5 |.
So, y + 3 = | x - 5|
y = | x - 5 | - 3.
Now to obtain the vertex of the graph we'll set x -5 = 0 .
x = 5 and that corresponds to y value of -=3.
So, the vertex of the graph is (5,-3).
Now to plot the function we'll select some values of less than and greater than 5.
When x = 2 , y = 0. x = 4 , y = 2. x= 6 , y = -2. x = 8 y = 0.
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Jacob earns $15 per hour. He has saved $200 and is planning to buy a dresser that costs $500. Which of these represent the number of hours' pay, x, that Jacob must save to be able to purchase the dresser?
Answer:
500 - 200 = 300. 300 ÷ 15 = 20. Jacob needs 20 hours of pay for the dresser
describe the pattern for each sequence ( the first box )
Answer:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Step-by-step explanation:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
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I need help heres the question:
he price of a normal meal is $6.75. On tuesday, the meal is on sale for for $1.00 off for the regular price. Sarah brought 4 of thease meals on Tuesday. What is the total cost of these 4 meals before the tax?.
Please help!!
Answer:
the cost of the four meal is $4.00