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Crazy boy [7]
1 year ago
9

tavon has a $15 gift card that lose $3 for 30- day period It is not used. he has a $40 that loses $1.50 for each day period it i

s not used. assuming both cards are unused write and solve an equation for the number of 30- period until the value if the give card be equal
Mathematics
1 answer:
Anna11 [10]1 year ago
5 0

The number of 30- period until the value if the give card be equal is 20 30- day period

<h3>How to write and solve equation</h3>

let

  • Number of 30- day period = x

Card 1:

50 - 2x

Card 2:

40 - 1.50x

50 - 2x = 40 - 1.50x

50 - 40 = -1.50x + 2x

10 = 0.50x

  • divide both sides by 0.50

x = 10/0.50

x = 20

In conclusion, it will take 20 30- day period until the value of the given card can be equal.

Complete question:

Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.

Read more on equation:

brainly.com/question/2972832

#SPJ1

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The vertical line through these three points is

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
egoroff_w [7]

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

6 0
3 years ago
The top of the desk is shaped like a trapezoid the bases of the trapezoid are 26.5 and 30 cm long the area of the desk is 791 CM
kotegsom [21]

Answer:

28 cm

Step-by-step explanation:

Given that :

Area = 791 cm

Base, b1 = 26.5 cm

Base, b2 = 30 cm

Area, A of trapezoid :

A = 1/2 (a + b) h

Where a and b are the bases ;

791 = 1/2(26.5 + 30)h

791 = 0.5(56.5)h

791 = 28.25h

h = 791 / 28.25

h = 28 cm

5 0
3 years ago
Savings account A and savings account B both offer APRs of 5%, but savings account A compounds interest semiannually, while savi
Tamiku [17]

C. Savings account B because it has more compounding periods per year.

Step-by-step explanation:

Step 1:

Savings account A has an APR of 5% which compounds interest semiannually. This means that savings account A compounds twice in a year. If account A compounds 5% a time, it would compound 5(2) = 10% in a single year.

Step 2:

Savings account B also has an APR of 5% which compounds interest quarterly. This means that savings account B compounds four times in a year. If account B compounds 5% a time, it would compound 5(4) = 20% in a single year.

Step 3:

Savings account A gets an interest of 5% a year while savings account B gets an interest of 10% so account B offers a higher APR because of more compoundings in a year.

5 0
3 years ago
Read 2 more answers
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