<u>Answer:</u>
96
<u>Step-by-step explanation:</u>
Let's assume that the marks needed in the next exam is
. Then if the average becomes 90,

Now we can simply solve for
:
⇒ 
⇒
[Multiplying both sides by 4]
⇒
[Subtracting 264 from both sides]
⇒ 
Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.
Answer:
Yes he will have enough money to pay for the gift, and with that said, he will pay $23.10.
Step-by-step explanation:
All you have to do here is multiply 22 by 5%, which will get you 1.1, then you just add the 1.1 onto the $22 and you will have the total amount he has to pay.
Answer: The interest is: $150.00
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $6000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:
The interest is: $150.00
<span>3x + 2y = 8
2y = 8 - 3x
y = (8 - 3x)/2</span>
Answer:
Step-by-step explanation: