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3 years ago

10

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

account that earns 5% interest per year, compounded monthly?

1 answer:

Marianna [84]3 years ago

5 0

11049.41 should be your answer, good luck!!

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The radius AND height of a cone are each doubled. What is the new volume? A) 4 3 πhr2 B) 8 3 πhr2 C) 4πhr2 D) 8πhr2

Jlenok [28]

Volume of cone:
$V = \dfrac{1}{3}\pi r^2h$

Double the radius to 2r, and double the height to 2h.
Volume of new larger cone:
$V = \dfrac{1}{3}\pi(2r)^2 \times 2h$

$V = \dfrac{1}{3}\pi \times 4r^2 \times 2h$

$V = \dfrac{1}{3}\pi \times 8r^2 h$

$V = \dfrac{8}{3}\pi r^2 h$

Answer: Choice B)

7 0

3 years ago

Read 2 more answers

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units. (Input

sammy [17]

The answer is 0.267% I hope that I helped thank you!!!!!

8 0

3 years ago

slamgirl [31]

Answer:

1.

$E(p)=\frac{p^2}{40-p^2}$

E(3) = 0.29

2. See Below

Step-by-step explanation:

1.

According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.

The rules to use would be $f(x)=ax^n\\f'(x)=nax^{n-1}$

Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.

Now, lets differentiate:

$f(p)=\sqrt{40-p^2}\\f(p)=(40-p^2)^{\frac{1}{2}}\\f'(p)=\frac{1}{2}(40-p^2)^{\frac{1}{2}-1}*(-2p)\\f'(p)=\frac{1}{2}(40-p^2)^{-\frac{1}{2}}*(-2p)\\f'(p)=-\frac{p}{\sqrt{40-p^2}}$

Now, the E(p):

$E(p)=-\frac{pf'(p)}{f(p)}\\E(p)=-\frac{p*(-\frac{p}{\sqrt{40-p^2}})}{\sqrt{40-p^2}}\\E(p)=\frac{p^2}{40-p^2}$

We find E(3) by substituting 3 into "p":

$E(p)=\frac{p^2}{40-p^2}\\E(3)=\frac{3^2}{40-3^2}\\E(3)=\frac{9}{31}\\E(3)=0.29$

2.

When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.

7 0

3 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Papessa [141]

<u>Answer:</u>

The value of c is 2√2 or about 2.8.

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

<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>

=> c² = 2² + 2²
=> c² = 4 + 4
=> c² = 8
=> c = √8
=> c = √2 x 2 x 2
=> c = 2√2

<u>If you want further simplification, seek for explanation below.</u>

=> c = 2√2
=> c = 2 x √2
=> c = 2 x 1.414
=> c = 2.828 = 2.8 (Estimated)

Hence, <u>the value of c is 2√2 or about 2.8.</u>

Hoped this helped.

$BrainiacUser1357$

6 0

2 years ago

The map shows the beach area on a coordinate plane. find the distance from the car to the cabana and then from the cabana to the

yan [13]

The answer is C 9 units because it's 3 units down and then 6 units from the cabana to the beach

3 0

3 years ago