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3 years ago

Please helpppppp

Mathematics

1 answer:

melomori [17]3 years ago

6 0

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually = n = 2

Interest rate = i = 6.5%

Required Information

Accumulated amount = A = ?

Answer:

Accumulated amount = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

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An arc subtends a central angle measuring \dfrac{3\pi}{5}

Diano4ka-milaya [45]

Answer:

3/10

Step-by-step explanation:

The central angle of the arc is $\frac{3 \pi}{5}$ .

The circumference of an arc of a circle is given as:

$C_a = \frac{\theta}{2 \pi} * C$

where C= circumference of the circle

θ = central angle of the arc

Therefore, the circumference of the arc is:

$C_a = \frac{\frac{3 \pi}{5} }{2 \pi} * C\\\\C_a = \frac{3 \pi}{10 \pi} * C\\\\C_a = \frac{3}{10}C$

The circumference of the arc will be 3/10 of the circumference of the circle.

8 0

3 years ago

Expression 7 + 9/4 can also be written in the form ofc÷a^b . A = b= c=

Arlecino [84]

<h3>Answer: a = 37, b=2 and c=2.</h3>

Step-by-step explanation: Given expression 7 + 9/4.

Let us simplify given sum of fractions by taking common denominator, we get

$\frac{7}{1} +\frac{9}{4}$

Common denominator is 4.

Therefore, multiplying top and bottom of 7/1 by 4, we get

$\frac{7\times 4}{1\times 4} +\frac{9}{4} = \frac{28}{4} +\frac{9}{4}$ .

We got same denominators,

So, combining top numbers, we get

$\frac{28+9}{4}=\frac{37}{4}$

We can read 37/4 as 37 divided by 4.

Therefore, 37 ÷ 4.

Let us write 4 as the power of 2.

$4= 2^2.$

37 ÷ $2^2$

On comparing c÷a^b and 37 ÷ 2^2, we can see..

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4 years ago

Round to the nearest whole number, then add: 4.208 +2.482

ruslelena [56]

Answer:

6.482

Step-by-step explanation:

4.208 rounds down to 4

4+2.482

6.482

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4 years ago

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brilliants [131]

Answer:

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Step-by-step explanation:

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3 years ago

2. Find the value of "a" given the vertex and a second point when the vertex is (3,-1) and the graph passes through (5, 2)

neonofarm [45]

Answer:

a = 3/4

Step-by-step explanation:

Given the vertex, (3, -1) and the other point, (5, 2):

We could substitute these values into the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k ) = vertex

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

If a is positive, the graph opens up; if a is negative, the graph opens down.

If a is between 0 and 1, the graph is wider than the parent function.
If a > 1, the graph is narrower than the parent function.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":

y = a(x - h)² + k

2 = a(5 - 3)² - 1

2 = a(2)² - 1

2 = a(4) - 1

Add 1 to both sides:

2 + 1 = a(4) - 1 + 1

3 = 4a

Divide both sides by 4 to solve for a:

3/4 = 4a/4

3/4 = a

Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.

The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.

Please mark my answers as the Brainliest if you find this explanation helpful :)

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2 years ago