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lions [1.4K]
3 years ago
15

HELP ME PLEASE: Daniel opened a savings account with $1600 The peas no interest. And additional $300 each week thereafter. how m

uch money would Daniel have in the account 25 weeks after opening the account?
Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0
Im pretty sure the answer is $9,100
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What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
How do I do 2/13×2/16
Ulleksa [173]

Answer:

1/52

Step-by-step explanation:

4/208=1/52

7 0
3 years ago
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Simplify secxcscx/1+tan^2x.
frosja888 [35]

Answer:

It's cot x :)

Step-by-step explanation:

I'm not really good at explaining,but I know that's the answer :))

8 0
3 years ago
A
Lemur [1.5K]

Answer:

x + 6

Step-by-step explanation:

consider the x- coordinates of the right angle

x- coordinate of A = - 4

x- coordinate of B = 2

then

| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6

the x- coordinate has been shifted 6 units to the right , so the rule is

x + 6

5 0
2 years ago
A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and cost 38 dollars per month to join.
victus00 [196]
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.

We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63

Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:

38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63

Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9

So at month 9, the 2 plans will cost the same.

Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.

Hope this helps! :D
8 0
3 years ago
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