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r-ruslan [8.4K]
3 years ago
14

One the day a child's birth, a parent deposite 30,000 in a trust fund that pays 5 percent interest, compounded continuously. Det

ermine the balance in the account the child's 25 birhtday?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

  $104,710.29

Step-by-step explanation:

The amount is given by ...

  A = Pe^(rt)

where P is the principal invested at annual rate r for t years. Filling in the numbers, we get ...

  A = 30000e^(.05·25) = 30000e^1.25 ≈ 104,710.29

The balance will be about $104,710.29 on the child's 25th birthday.

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Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
romanna [79]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds. Correct option B).

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

⇒ 4x-7\leq 9

⇒ 4x\leq 16

⇒ \frac{4x}{4}\leq \frac{16}{4}

⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

4 0
2 years ago
What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
6 0
3 years ago
Identify the factors of x2 + 25y2. ...?
Sveta_85 [38]
Is the equation like this? x^2 + 25y^2?
If the equation is like that, the answer would be (x-5y)^2 or (x-5y)(x-5y).
how did I get this? Just divide the factors or the get the square root of 25y^2 and it would be 5y. Then just try if it is positive or negative. In this case, it is negative because there is no factor w/ no exponential form. I hopemy answer helped you.
4 0
3 years ago
Find the measure of the missing angles.
Jet001 [13]

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

3 0
3 years ago
1.Find by factors the square root of 3600<br>2. Find by factors the cube root of 343​
Contact [7]

Answer:

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

4 0
2 years ago
Read 2 more answers
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