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3 years ago

6

As part of his retirement planning, Mr. Jones purchases an annuity that pays 11.5% compounded quarterly. If the quarterly paymen

t is $1000, how much will Mr. Jones have saved in 6 years?

1 answer:

tiny-mole [99]3 years ago

5 0

Answer:

24000

Step-by-step explanation:

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If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).

denpristay [2]

Answer:

$VYX=84.3in$

Step-by-step explanation:

Given

$YV = 28in$

$\angle WZX = 15^\circ$

See attachment

Required

Determine the length of $VYX$

First, calculate the major angle VZX

$\theta = \angle VZX = 360 - \angle WZX$

$\theta = \angle VZX = 360 - 15$

$\theta = \angle VZX = 345$

$\theta = 345$

The length of arc VYX, is:

$L=\frac{\theta}{360} * 2\pi r$

Where

$r = \frac{1}{2} * Diameter$

$r = \frac{1}{2} * YV$

$r = \frac{1}{2} * 28$

$r = 14$

So:

$L=\frac{\theta}{360} * 2\pi r$

$L=\frac{345}{360} * 2 * \frac{22}{7} *14$

$L=\frac{345}{360} * 2 * 22 *2$

$L=\frac{345* 2 * 22 *2}{360}$

$L=\frac{30360}{360}$

$L=84.3in$

Hence, the length of VYX is:

$VYX=84.3in$

7 0

3 years ago

Estimate to the nearest integer 15.6

qaws [65]

16. The 6 would round up, causing the result to be 16

8 0

3 years ago

PLEASE HELP! I ONLY HAVE 15 MINS! WILL MARK BRAINLIEST! 20 POINTS! Suppose N coins lie heads up on a table. In one turn, you can

Romashka [77]

Answer: it is only possible if N = 2.

Step-by-step explanation:

if you have N heads up coins.

turn one, you turn N -1 coins up.

Now you have N - 1 coins tails up and one coin heads up.

Second turn, you turn N - 1 coins, (if you select the same N - 1 coins as before, you will end in the initial situation, so now we will change one coin, this time we will select the coin that is still heads up and we will leave one of the tails up unchanged)

Then we have N - 2 coins heads up and 2 coins tails up.

Now, we can select any N -1 coins to flip, and we will end with with N - 1 coins tail up and 1 coin heads up.

and this cycle will repeat.

Then the only situation is having N = 2.

Becuase when we have N -2 coins heads up and 2 coins tails up we will have: N - 2 = 0, so we have 0 coins heads up and 2 coins tails up.

This means that the statement is only true if N = 2.

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3 years ago

Error Analysis Your friend says that the volume of this sphere is 44.58

Maurinko [17]

Answer:

the given dimension was used as the radius
5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

V = 4/3πr³ . . . . . where r is the radius

__

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

V = 4/3π(1.1 m)³ ≈ 5.57 m³

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2 years ago

Can solids undergo convection

zysi [14]

No because solids can't transmit heat by convection, and convection only works because of hotter and quicker moving molecules have a lower density so they rise to the surface. But in a solid, the molecules can't move relative to each other. They only vibrate :)

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3 years ago