Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used. He has another gi

Sallie Banks 2022-01-16 Answered
Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used. He has another gift card for $75 that loses $1.50 for each 30-day period it is not used.
A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
B. What will the value of each card be when they have equal value?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

sonorous9n
Answered 2022-01-17 Author has 34 answers
For first gift card
$95 and loses $2 each day
ler x= number of days
y= value after x 30 day period
y=952x (1)
y=751.5x (2)
When gift card will have equal value 1=2
952x=751.5x equation to find 30-day period until gift card has equal value
9575=(21.5)x
0.5x=20
x=40
a) 30 day period value of gift card will be equal.
after 40×30=1200 days
Answer: 40
b) Value of card when equal
1) y=952x
y=952×40
y=15
for (2)
y=751.5x
y=751.5×40
y=15
Answer: $15 each card will have $15 as equal value.
Not exactly what you’re looking for?
Ask My Question
Philip Williams
Answered 2022-01-18 Author has 39 answers

Gift Card 1 (C=GC1) has a value of $95Time ($230 days)
Mathematically, lets set T for a time increment of 30 days. 1T=30 days.
So we can state the value of GC1, in increments of 30 days, as GC1=95T($230 days).
And so, GC2=75T($1.530 days)
We want to know the value of T when the cards are equal in value.
So for what value of T does GC1=GC2?
95T2=75T1.5, where T is in increments of 30 days.
Rearranging, 20=0.5T
T=40
After 40 30-day periods (1200 days), both cards should have equal value (assuming you don't use them in the meantime). Let's check it:
Card 1 after 40 periods: $95(40$2)=$15
Card 2: $75(401.5)=$15.

Not exactly what you’re looking for?
Ask My Question
alenahelenash
Answered 2022-01-24 Author has 343 answers
The first part to solving this equation is to put one fact against another and set them to be equal each other. Gift card one starts at $95 and loses $2 per month, while gift card two starts at $75 and loses $1.50 per month. $95$2(months)=$75$1.5(months)If we move dollars to the left and months to the right, we'll get: $20=$.5(x) Dividing both sides by the coefficient of x ($.5) will yield the number of months until both gift cards are of equal value. Substituting that number of months for x in our original equation will yield the dollar amount.(After 40 months, each of the cards will be $15.)
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2020-10-21
On average, 3 traffic accidents per month occur at a certain intersection. What is the probability that in any given month at this intersection
(a) exactly 5 accidents will occur?
(b) fewer than 3 accidents will occur?
(c) at least 2 accidents will occur?
asked 2021-01-06
The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.
asked 2021-05-11
Bethany needs to borrow $10,000. She can borrow the money at 5.5% simple interest for 4 yr or she can borrow at 5% with interest compounded continuously for 4 yr.
a) How much total interest would Bethany pay at 5.5% simple interest?
b) How much total interest would Bethany pay at 5 interest compounded continuously?
c) Which option results in less total interest?
asked 2020-12-01

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.f(x)= where X.μ=σ=. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

asked 2021-09-20
A truck rental company rents a moving truck for one day by charging $27 plus $0.10 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 187 miles? 439 miles?
Type the linear equation that relates the cost C, in dollars, of renting the truck to the number of x miles driven.
C=
What is the cost of renting the truck if the truck is driven 187 miles?
C=$?
What is the cost of renting the truck if the truck is driven 439 miles?
C=$
asked 2020-12-02
Solve the equation by expressing each side as a power of the same base and then equating exponents. Given: 84x=3.1
asked 2021-09-21

Given that a stone is thrown into a pond, creating a circular ripple that spreads over the pond in such a way that the radius is increasing at a rate of 3.4 ft/sec.
Complete parts a through c.
a) Find a function for the radius in terms of t.
r(t)=___
(Use integers or decimals for any numbers in the expression.)