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IgorLugansk [536]
3 years ago
7

Konrad has $500 in a savings account at the beginning of the summer. He wants to have more than $200 in the account by the end o

f the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Konrad withdraw money from his account?
Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:

Step-by-step explanation:

He has $500 to start with, and he takes $25 out of the account each week. But he wants more than 200 in his account by the end of summer. 25 goes into 500 20 times. But if he wanted more than 200 left, like 300-400, he could spend 4 week's worth of money to have 400 left, or 8 weeks to have 300 left. This is the best-case scenario.

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The average fine for entering a National Forest Wilderness without a permit increased from
galina1969 [7]
Fine increase = 78 - 65 = 13
Increase rate = 13/65 x 100% = 20%

Discounted amount = 560 - 476 = 84
Discount rate = 84 / 560 x 100% = 15%
5 0
3 years ago
A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and th
levacccp [35]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
7x2 +11x-6/7x2 - 10x + 3
velikii [3]

Answer:

Final result :

 x + 2

 —————

 x - 1

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   7 • 3 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    7x2 - 7x - 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (7x-3)  •  (x-1)

            Which is the desired factorization

Please mark brainliest and have a great day!

3 0
3 years ago
Read 2 more answers
The image of the point (2, 1) under a translation is (5, -3). Find
Yanka [14]

Answer:

The coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.

4 0
3 years ago
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