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3 years ago

Zach's parents put $1,500 in her bank account for college tuition. At an interest rate of

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Answer:

After 18 years, Zach's account balance will be $ 6,614.66.

Step-by-step explanation:

Given that Zach's parents put $ 1,500 in her bank account for college tuition at an interest rate of 8.25% compounded weekly, to determine what will be the balance after 18 years the following calculation must be performed:

1,500 x (1 + 0.0825 / 52) ^ 18x52 = X

1,500 x 1.00158653 ^ 936 = X

6,614.66 = X

Therefore, after 18 years, Zach's account balance will be $ 6,614.66.

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The sum of two numbers is 49 and the difference is 25 . What are the numbers?

OLEGan [10]

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

---------------

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

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3 years ago

Considera um quadrado de lado 2x e um rectângulo de comprimento x e largura x  2 . Qual é o valor de x para o qual as duas figu

ki77a [65]

Answer:

3 unidades de comprimento

Step-by-step explanation:

O perímetro é definido como a soma de todos os lados.

O perímetro de um quadrado de lado 2x é dado por:

$Q=4*2x=8x$

O perímetro de um retângulo de comprimento x e largura x² é dado por:

$R=2x+2x^2$

Para que ambos os perímetros sejam iguais:

$R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3$

O valor de x é igual a 3 unidades de comprimento.

4 0

2 years ago

Find the length of the third side of the right triangle

Maurinko [17]

Answer:

Step-by-step explanation:

2 2

b + 8 = 17

b + 16 = 34

34 - 16 = 18

18 ÷ 2 = 9

4 0

3 years ago

Read 2 more answers

For which interval is the function increasing Choose two answers that are correct

kaheart [24]

Answer:

-8 ≤ x ≤ - 6

2 ≤ x ≤ 6

Step-by-step explanation:

Increasing part of the function can be easily determined from the graph.

Note that increasing function means for each successive values of 'x', the values of 'y' keep increasing.

From the graph, we see that the function is increasing in the interval $- 8 \leq \ x \leq -6$

Between -6 and -4, the graph is constant and takes the value 4.

After that it decreases till x = -2 until it becomes a constant function again on x = 2.

Then, it again increases from x = 2 till x = 6. This is represented by the interval

$2 \leq x \leq 6$ .

Then it again decreases.

So, OPTION A and C are the answers.

3 0

2 years ago

What is the the distance between a point at (-3,4) and a point at (2,-5)

zaharov [31]

<h2>Question:-</h2>

What is the distance between a point at (-3,4) and a point at (2,-5) ?

<h2>Solution:-</h2>

Let the two points be A and B .

And, let the distance be P .

Now, the distance P between the point A (-3,4) and the point B (2,-5) is

$\bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2}$

$\implies$ $\bf P \: = \sqrt{(-5)^2 \: + \: (9)^2}$

$\implies$ $\bf P \: = \sqrt{25 \: + \: 81}$

$\implies$ $\bf P \: = \sqrt{106}$

$\implies$ $\bf P \: = \: 10.3$

<h3>The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]</h3>

4 0

2 years ago