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max2010maxim [7]
3 years ago
5

Y=2x-1 4x+3y=27 what is the value of x

Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

The value of x is 3

Step-by-step explanation:

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9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco
HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

For the considered case, we're given that:

  • Initial amount Laura deposited = $5,500 = P
  • Type of interest: Compound interest
  • Unit of time: Annually
  • Rate of interest = 1.6% annually = R
  • Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4  \approx 5860.53 \: \rm (in \:  dollars)

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

5 0
2 years ago
Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took
Reptile [31]

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

5 0
3 years ago
The amount of oil used in four different recipes is shown in the table.
pickupchik [31]
I’m pretty sure it’s bread
5 0
3 years ago
Read 2 more answers
Which angle is adjacent to Angle D F E? Line A F E is horizontal. Lines B, C, and D come out of point F. Angle A F B Angle A F C
Oxana [17]

Answer:

angle afb

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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