Tavon has a gift card of $90 that loses $2 for each 30-day period not used. He has another gift card for $70 that loses $1.50 for each 30-day period not used. What will the value of each card be when they have equal value?
Answer:
$10
Step-by-step explanation:
Let the number of 30 day periods be x.
[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]
When x=40, the value is 90-2(40)=$10.
The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.
Given data:
Let x represent the number of 30-day periods that have passed since the gift cards were obtained.
For the first gift card with $90 initial value and losing $2 for each 30-day period:
Value of the first card = Initial value - Loss per period * Number of periods
Value of the first card = $90 - $2 * x
For the second gift card with $70 initial value and losing $1.50 for each 30-day period:
Value of the second card = Initial value - Loss per period * Number of periods
Value of the second card = $70 - $1.50 * x
Now, to find when the two cards have equal value x:
Value of the first card = Value of the second card
$90 - $2 * x = $70 - $1.50 * x
On simplifying the equation:
$90 - $70 = $2 * x - $1.50 * x
$20 = $0.50 * x
x = $20 / $0.50
x = 40
After 40 periods of 30 days each, the two cards will have equal value.
Now, determine the value of each card at this point:
Value of the first card = $90 - $2 * 40 = $90 - $80 = $10
Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10
Hence, both cards will have a value of $10 when they have equal value after 40 periods.
To learn more about equations, refer:
https://brainly.com/question/19297665
#SPJ3
Hey guys!
Does anyone know how to solve this?
c(1)=3, c(n)= −c(n−1)+1 for n≥2
I'll give you 25 pts!
The value of c from the given expression is -
Function and valuesGiven the following function
c(n)= −c(n−1)+1
Given the following parameters
c(1)=3
Substitute
3 = −c(3−1)+1
3 = -2c + 1
-2c = 3-1
-2c = 2
c = -1
Hence the value of c from the given expression is -1
Learn more on equation here: https://brainly.com/question/2972832
#SPJ1
Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?
Answer:
6
Step-by-step explanation:
Please help math 50 points please dont lie
Answer:
8,250
Step-by-step explanation:
10 to the power of 2 is 100, move the decimal 2 spaces to the right.
Answer:
Hi, i think the answer would be the third option, 8,250.
Step-by-step explanation:
You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have
82.5 × 100
This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer
Find the unknown length. Round to the nearest tenth if necessary.
Answer:
55 i believe
28 + 27 = 55
Answer:
a = 7.4
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem:
c^2 = a^2 + b^2
28^2 = a^2 + 27^2
784 = a^2 + 729
55 = a^2
a = 7.4
Simplify:
5x2 – x + 9 = [?]
x=3
Enter
Answer:
The answer is 51
Step-by-step explanation:
What you need to do here is assign a value of 3 to x, and output the value. Let's see what we get:
[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]
43. (09.01)
Let A = {15, 25, 35, 45, 55, 65} and B = {25, 45, 65}. What is ANB? (1 point)
O {15, 25, 35, 45, 55, 65}
O {15, 35, 55}
{25, 45, 65}
{15, 25, 35, 45}
Answer:
That is;
{25,45,65}
Step-by-step explanation:
Here, we want to find the set of A n B
That is the set that contains values that are present in both sets A and B
Mathematically, that will be;
{25,45,65}
Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...
Answer:
16 and 40Step-by-step explanation:
Let the numbers be x and y
HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m
As per property of numbers, the product of numbers is equal to product of their LCM and HCF:
xy = HCF(x,y) × LCM(x,y)Since LCM(x,y) = 80 we have:
8×80 = xy8×80 = 8n×8m10 = nmPossible option:
n = 2, m = 5Then the numbers are:
x = 2*8= 16y = 5*8 = 40Which digit is in the tenths place? 48.92
4
2
9
8
HELP FAST <33
Answer:
9
Step-by-step explanation:
after the decimal point it go's tenths hundredths thousandths and so on
if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
for g(x)=1/2x-11, find x when g(x)=-5
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 1/2x - 11
g(x) = -5
Step 2: Solve for x
Substitute: -5 = 1/2x - 11Isolate x term: 6 = 1/2xIsolate x: 12 = xRewrite: x = 129) f(x) = 3-4x – 12
x2 + 3x + 2
y-int:
HA:
Hole:
VA:
x-int:
Answer:
x=3,2i,-2i
Step-by-step explanation:
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00p.m., the temperature dropped by 5°F. What
was the evening temperature?
URGENT PLS!!!!
Answer:
21F
Step-by-step explanation:
15+6=21
Given f(x) = 4x + 1 and g(x) = x2 − 2, which of the following is an expression for f(g(x))?
The value of the expression of the composite function f(g(x)) = 4x^2 - 3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the value of the expression?The given parameters are:
f(x) = 4x + 1
g(x) = x^2 - 1
The composite function is given as
f(g(x)
The above composite function is calculated as
f(x) = 4x + 1
Substitute x for g(x) in the above function
So, the above function becomes
f(g(x)) = 4g(x) + 1
Substitute x^2 - 1 for g(x) in the above function
So, the above function becomes
f(g(x)) = 4(x^2 - 1) + 1
Evaluate the products in the above equation
So, we have
f(g(x)) = 4x^2 - 4 + 1
Evaluate the sum in the above equation
So, we have
f(g(x)) = 4x^2 - 3
Hence, the value of the composite function f(g(x)) = 4x^2 - 3
Read more about composite function at
https://brainly.com/question/10687170
#SPJ1
. A electric jug was sold allowing 20% discount
with Profit of Rs.120. If the jug was sold
allowing 30% discount, there would have
been loss of Rs. 270. Find the MP of the jug.
solu
9514 1404 393
Answer:
marked price = Rs. 3900
Step-by-step explanation:
The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.
The marked price is Rs. 3900.
_____
Check
A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.
HELPPPPP MEEEEEEE PLSSSS
Math assignment
Answer:
$16 for lunch
$4 for coffee
$12 left
Step-by-step explanation:
32/2 = 16
16 * 1/4 = 4
32 - (16 +4) = 12
Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis
Answer:
[tex]hey \: its \: easy[/tex]
(1) Square of 5 = 5 × 5 = 25
(2) Square of 10 = 10 × 10 = 100
(3) Square of 16 = 16 × 16 = 256
(4) Square of 25 = 25 × 25 = 625
(5) Square of 110 = 110 × 110 = 12100
like this you can also find it
hope it helps
pls mark as brainliest
Answer:
Step-by-step explanation:
You have to figure out what has to multiply by itself to get to that number.
So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:
The cost of a television with remote control is $649. This amount is $125 more than the cost without remote control. Find the cost of the television without remote control. Write an equation. Then solve the equation.
The equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
Cost of television with remote control = $649
It is also given that this amount is $125 more than the cost without remote control.
Suppose x be the cost of television without remote control.
Thus, x = 649 + 125
⇒ x = 774
Thus, the equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
To learn more about equation :
https://brainly.com/question/28195645
#SPJ1
Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME
Answer:
2+4y
Step-by-step explanation:
In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10
Based on your research, what is your top career choice? Using the eight components from your graphic organizer,
Answer:
My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine
Step-by-step explanation:
I hope you are satisfied
simply 8/-4 dived by -3/9
Answer:
-6
Step-by-step explanation:
Select the correct answer from the drop-down menu. In the figure, if CD = 15 cm, then BC ≈ ___ cm.
A. 6.6
B. 11
C. 21.6
D. 34.7
I need help please,
Answer: -7
Step-by-step explanation:
trust me
Answer:
A) -7
Step-by-step explanation:
Simplify the expression.
-4/5 (x-3)= 1/2 (-2x+2)
-4/5 ((-7)-3)= 1/2 (-2(-7)+2)
8=8
express (x+7)^2 as a trinomial in standard form
Answer:
x^2 +14x+49
Step-by-step explanation:
The standard form of the polynomial (x+7)² is x² +14x+49.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The polynomial will be represented as,
E = (x+7)²
E = x² +14x+49.
To know more about polynomials follow
brainly.com/question/2833285
#SPJ2
A local band is being paid $250 for performing at a local concert. They also receive $2 for each ticket sold. The chart below shows the bands total pay for the first five tickets sold.
Write an expression that will calculate the band's total pay for x number of tickets sold.
How much money will the band make for selling 100 tickets?
How much money will the band make for selling 150 tickets?
Be sure to show all work PLEASE i need this
Answer:
Question 1-- $250+$2(100)= 350 dollars
Question 2-- $250+$2(150)= 400 dollars
Step-by-step explanation:
To calculate the band's total pay for x number of tickets sold, we can use the following expression Total pay [tex]= $250 + ($2 * x)[/tex] For example, if the band sells 100 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 100) = $250 + $200 = $450[/tex]
Therefore, the band would make $450 for selling 100 tickets. Similarly, if the band sells 150 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 150) = $250 + $300 = $550[/tex]
Hence, the band would make $[tex]550[/tex]for selling 150 tickets. This expression takes into account the fixed payment of $[tex]250[/tex] for the band's performance and an additional $2 for each ticket sold. By multiplying the number of tickets sold (x) by $2 and adding it to the fixed payment, we can calculate the band's total earnings.
To know more about fixed payment visit:
https://brainly.com/question/30434534
#SPJ2
finding rise and run
Answer:
Up 6 over 8, 6/8, or .75/100
Step-by-step explanation:
I'm not sure how to explain it but yeah I'm pretty sure this is it
need this real fast please
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = [tex]\frac{0-2}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
The equation for slope is y2-y1 over x2-x1.
Or you can easily do rise over run.
Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.
If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.
The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.
The run is 3, and the rise is -2.
Rise over run
-2 (rise) over 3 (run)
-2/3
-2/3 is the slope.
Hope this helps!
A triangle has side lengths 4y, 5y and 9y. The longest side of the triangle is 5y. What value of y proves that this triangle is a right triangle?
Answer:
9y i can be rong
Step-by-step explanation:
Find the missing interest rate.
I = $63
P = $420
r = %
t = 3 years
Answer: r=5%
Step-by-step explanation:
I=Prt
I/P=Prt/P
I/P=rt
I/(P*t)=rt/t
r=I/Pt
r=63/(420*3)
r=21*3/(420*3)
r=21/420
r=1/20
r=0.05
r=0.05 * 100%
r=5%