520 x 12 months x 4 years = 24960
24960 + 3000 deposit = 27,960 total paid.
27,960 - 13,000 = 14,960 total interest paid
What is the mathematical expression for seven less then a number
Given a positive integer N. Deleting the last digit of N decreases it by 2021. What is N ?
The value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].
Given: A positive integer N such that deleting the last digit of N decreases it by 2021
To find: The value of N
Let x be the integer consisting of all digits of N except the last digit and let the last digit of N be d.
Then, [tex]N=10x+d[/tex]
It is given that deleting the last digit decreases it by 2021
Then, [tex]x=N-2021[/tex]
Substitute [tex]N=10x+d[/tex] in [tex]x=N-2021[/tex] to get,
[tex]x=10x+d-2021[/tex]
[tex]d=2021-9x[/tex]
Since d is a digit, we have,
[tex]0\leq d\leq 9[/tex]
Substitute [tex]d=2021-9x[/tex] in [tex]0\leq d\leq 9[/tex] to get,
[tex]0\leq 2021-9x\leq 9[/tex]
[tex]9x\leq 2021\leq 9x+9[/tex]
[tex]9x\leq 2021\leq 9(x+1)[/tex]
[tex]x\leq \frac{2021}{9} \leq x+1[/tex]
[tex]x\leq 224.5556 \leq x+1[/tex]
Then,
[tex]x\leq 224.5556[/tex] and [tex]224.5556 \leq x+1[/tex]
[tex]x\leq 224.5556[/tex] and [tex]x\geq 223.5556[/tex]
[tex]223.5556 \leq x \leq 224.5556[/tex]
Since x is an integer, the only possibility that satisfies the above inequality is, [tex]x=224[/tex]
Substitute [tex]x=224[/tex] in [tex]d=2021-9x[/tex] to get,
[tex]d=2021-9(224)[/tex]
[tex]d=2021-2016[/tex]
[tex]d=5[/tex]
Substitute [tex]x=224[/tex] and [tex]d=5[/tex] in [tex]N=10x+d[/tex] to get,
[tex]N=2245[/tex]
Thus, the value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].
Learn more about word problems with digits of a number here:
https://brainly.com/question/17236020
Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o
Answer:
4x+(-3y)
Step-by-step explanation:
[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]
(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)[tex]\\ \rm\longmapsto 4x-3y[/tex]
frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?
Answer:
-5
Step-by-step explanation:
Please answer this asap. explanation would be appreciated. i don’t understand this
Answer:
First, find the value of x:
[tex]h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4[/tex]
Substitute the x-value in to the function [tex]x^{2}+x+1[/tex] and solve:
[tex](-4)^{2}+(-4)+1=16-4+1=12+1=13[/tex]
Therefore, the value of h(9) = 13.
Hope this is correct O-o
Answer:
A
Step-by-step explanation:
Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.
I hope this helped! Please do let me know if you have further questions :D
I’m struggling bad! If you need a better pic I can
Answer:
could i have the website info or the image clearer so i could try and help you
Step-by-step explanation:
how can I solve this question 25 divide by 1,582 in the best way.
Step-by-step explanation:
1582/15
105.4667
is the answer
Step-by-step explanation:
25/ 1582
ans=0.0158027813 it this ans
8TH GRADE MATH ¯\_(ツ)_/¯
What is the fractional equivalent of the repeating decimal n = 0.1515.... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have?
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.
3. Write an equation where the left side is your power of 10 time n and the right side is the result of multiplying 0.1515... by that power.
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work!
5. Write n as a fraction in simplest form. Show your work!
If n = 0.151515…, then 100n = 15.151515…
Then
100n - n = 15.151515… - 0.151515…
99n = 15
n = 15/99 = 5/33
How do you do this TwT
Answer:
Step-by-step explanation:
First step plug the numbers into the equation.
-10/(5+2) = (-10/5) + (-10/2)
Solve both sides of the equation separately.
-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.
= -50 + (-20) = -70
-10/5 + -10/2 Multiply the fractions so they can be added together.
-10/5*2 = -20/10 -10/2*5 = -50/10
-20/10 + -50/10 = -70
Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.
The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
A s= 3/ 10m
B s= 10/3m
C m=3/10s
D m=1/30s
Answer:
Step-by-step explanation:
I'm assuming that the length of the spring is s and the mass of the object is m. If that be the case, the direct variation equation, which a line btw, is
s = km where k is the constant of proportionality. We have to solve for k, the slope of the line, in order to determine the model for this situation.
9 = k(30) so
[tex]k=\frac{9}{30}=\frac{3}{10}[/tex] Now that we know, the slope of the line, we can rewrite the equation with the slope in place:
[tex]s=\frac{3}{10}m[/tex], choice A.
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
y=1/3x+5 through (2,1)
Answer:
No solution
Step-by-step explanation:
1 = 1/3(2) + 5
1 = 17/3
1 is not equal to 17/3
so the answer has no solution meaning the point does not exist in the graph.
You are constructing a copy of . You choose a point, C, as one of the endpoints for the new line segment. What is the next step in the construction?
Answer: Keep the compass needle on A, and stretch the compass width to B
Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.
Complete the statement with always, sometimes, or never. Explain your reasoning.
An altitude is _____ the same line segment as an angle bisector.
Step-by-step explanation:
it's ur answers I hope it's helpful
what is the answer to -22/9r = 11/9
Answer:
2
Step-by-step explanation:
for this question you've to cross multiply
-22/9r=11/9
99r=-198
then you divide both sides by 99 inorder to remain with r on one side
99r/99=198/99
r=2
I hope this helps
191+13=13+191191+13=13+191
what type of property is that
what nice question that we can understand ok
find LCM of 60,40 and 90
Answer:
Step-by-step explanation:
Prime factorize.
60 = 2 *2 * 3 * 5 = 2² * 3 * 5
40 = 2 * 2 * 2 *5 = 2³ * 5
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360
The coordinate grid shows the graph of four equations:
Which set of equations has (3, 1) as its solution?
A and B
C and D
B and D
A and D
Answer:
A and D
Step-by-step explanation:
All you need to do is locate the point (3,1) on the graph and figure out which two lines are intersecting it. In this case it is A and D so that is your solution.
please help me i really need it
Answer:
That is not a integer number because integer numbers are always whole, where as -5.5 is a decimal
That is a rational number because it repeats forever, or repeats at some point
4. In preparation for the storm, Mike has printed out some flyers
advertising that he will shovel snow for $15 per hour. Mike also will
charge a minimum of $10.
a. Write an equation to find the total amount charged, y, after x
numbers of hours shoveling snow.
Answer:
y = 10 between 0 and 1
AND
y=15x for x>=1
Step-by-step explanation:
This has 2 segments. One when 0 < x < 1 (y=$10), and one when x >= 1 (y=$15x)
So
y = 10 between 0 and 1
AND
y=15x for x>=1
It is 5 cm between two buildings on a map that has a scale of 100 000:1. What is their actual
distance apart?
O A.
0.5 km
B. 50 km
C.
5 km
OD.
500 km
Answer:
C 5 km
Step-by-step explanation:
so, 5 cm on the map correlates to
5×100000 = 500000 cm in reality.
100 cm = 1 m
1000 m = 1 km
so, 500000 / 100 = 5000 m.
5000 / 1000 = 5 km
Hi please answer ASAP please and thank you
Answer:
1 1/4
Step-by-step explanation:
2 3/4 - 1 1/2
3 3/4 - 1 2/4
1 1/4
Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?
Pls help :)
Answer:
The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M
Step-by-step
Change:
7h10= 430 mins
1 hour and 25 minutes= 85 mins
2 hours and 5 mintues= 125 mins
- Total time Ruth wants to do before his dinner reservations:
85+ 125+ 50= 260 (mins)
- The latest time Ruth's family can start their tour in order to make it to dinner on time:
430- 260= 170 (mins)
Change: 170 mins= 2 hours and 50 minutes
Good luck!
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
Answer:
Hope it will helps you
.
.
Answer:
and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
hope it's help you...!!!
#rishu
How much film does he have
Answer:
not 100% sure what the question is
but he has 85 movies
that are about 9350 minutes runtime which is about 155.8 hours of film
Step-by-step explanation:
Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1
Answer:
= 2 R 3
= 2 3/12
= 2 1/4
Step-by-step explanation:
0 2
1 2 2 7
− 0
2 7
− 2 4
3
4. RE and RD are tangent to circle M. If RE measures 8.4 cm, what is the measure of RD?
Answer:
B. 8.4
Step-by-step explanation:
RE and RD are equal
I hope this helps!
pls ❤ and mark brainliest pls!
From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
you find the variable
Best answer gets brainliest and 5 stars
Answer:
B
Step-by-step explanation:
5^2+12^2=25+144=169=13^2 which will form a right angle triangle
Menos 10 * 12 * -4 + 40 * -2 * 6 - 2 por favor
Answer:
-2
Step-by-step explanation:
-10 x 12 x -4 + 40 x -2 x 6 - 2
-120 x -4 - 80 x 6 - 2
480 - 480 - 2
0 - 2
-2
