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2 years ago

Maya invests $3,000 into a brokerage account

Mathematics

1 answer:

Charra [1.4K]2 years ago

5 0

Answer: $13361.76

Step-by-step explanation:

Amount = initial balance(1 + annual rate/periods per year)^(periods per year*years)

A = 3000(1+0.1/12)^12*15

A = 3000(1.0083)^180

A = 3000(4.4275)

A = 13361.76

Hope this helps!

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Which answer is the equivalent of sin x? A. tan y B. cos x C. tan x D. cos y

trapecia [35]

Sin x = cos y

Angles x and y a complementary.
Sine and cosine are co-functions.
sin x = cos (90 - x)
sin x = cos y

3 0

3 years ago

Read 2 more answers

Please help me! II'll give you brainliest!

sweet [91]

Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

5 0

3 years ago

if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

bulgar [2K]

Answer:

Step-by-step explanation:

Write the expression for the sum in the relation you want.

Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

Sn > 5543

35(1.06^n -1) > 5543 . . . . substitute for Sn

1.06^n -1 > 5543/35 . . . . divide by 35

1.06^n > 5578/35 . . . . . . add 1

n·log(1.06) > log(5578/35) . . . take the log

n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

3 0

3 years ago

Kyle went to the store to buy a shirt and noticed that the shirt is 20% off the original price of 25 dollars how much did Kyle p

posledela

100%-20%=80%

25×80%=20. As a result, Kyle pays $20 for the shirt. Hope it help!

8 0

3 years ago

Read 2 more answers