Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Principal amount (P)= $2500
Rate of simple annual interest (R) = 8.5%
Number of years (T)= 10
As we know the formula for "Simple Interest ":

Hence, Option 'B' is correct.
Answer:
Here,
JM=MK
so,
7x+5 = 8x

. ° . JM = 7x+5 = 7×5+5 = 40
. ° . MK = 8x = 8×5 = 40
Hence,
<h3>MK = 40</h3>
If she buys 60 tiles, the cost at both shops is the same.
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
Explanation:
Let the number of tiles be
x
At the first shop: Cost =
$
0.79
×
x
+
$
24
=
0.79
x
+
24
At the second shop: Cost =
$
1.19
×
x
=
1.19
x
If the cost is the same:
1.19
x
=
0.79
x
+
24
←
solve for x
1.19
x
−
0.79
x
=
24
0.4
x
=
24
x
=
24
0.4
x
=
60
tiles
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
Zach have to send 300 number of multimedia texts for the same cost in two packages.
<u>Step-by-step explanation:</u>
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text and has a $15 monthly fee.
<u>To frame the equations :</u>
- Let x be the any amount of multimedia texts are sent.
- Let y be the total cost for using the multimedia package.
<u>Package A Equation :</u>
Total cost = No.of text sent × cost per text.
⇒ y = x × 0.25
⇒ y = 0.25x
∴ The equation of package A is y = 0.25x
<u>Package B Equation :</u>
Total cost = (No.of text sent × cost per text) + Monthly fee
⇒ y = (x × 0.20) + 15
⇒ y = 0.2x + 15
∴ The equation of a package B is y = 0.2x + 15
Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be the same cost.
⇒ equation of package A = equation of package B
⇒ 0.25x = 0.2x + 15
⇒ 0.25x - 0.2x = 15
⇒ 0.05x = 15
⇒ x = 15 / 0.05
⇒ x = 300
∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.