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2 years ago

Find the volume of the figure

Mathematics

1 answer:

nevsk [136]2 years ago

5 0

Answer:

First of all are you given formulas, if yes then apply them to what you are given and find the missing outputs. I'm writing a test tomorrow on Euclidean Geometry

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How much must be deposited today into the following account in order to have $35,000 in 7 years for a down payment on a house?

Rom4ik [11]

Answer:

The amount that must be deposited is $ 19973.87.

Step-by-step explanation:

We have a relation between future value present value as:

F= P $(1 +\frac{r}{n} )^{nt}$

F=future value

P=present value

r=rate (as a decimal)

n=number of compounding periods per year

t=number of years

Now,

assume rate as 8%

35000= P $(1+\frac{0.08}{12} )^{12*7}$

or, 35000= P × $1.0067^{84}$

or, P = $\frac{35000}{1.7522}$

or, P = $ 19973.87

So you must deposit $ 19973.87 today.

7 0

2 years ago

You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll

Misha Larkins [42]

Answer:

a. $P (R3 | G1)=\frac{1}{5}$

b. $P (R6| G3)= \frac{1}{3}$

c. $P(G3|E)=\frac{2}{3}$

d. $P (E|G3)=\frac{2}{3}$

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? $P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}$

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? $P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}$

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? $P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}$

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? $P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}$

6 0

2 years ago

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals -8

Lelechka [254]

Y = kx - 8. The variable k can be any negative value.

7 0

2 years ago

A rectangle has a length of 12 inches and a width of 6 inches. A second rectangle will be drawn with a scale factor of

LenaWriter [7]

Answer:

36 × 18=648

Step-by-step explanation:

first one should do the area which results to 36 inches.

secondly do 3 × length of each side of the rectangle since scale factor is gotten by doing the recipricol of the scale factor given.

6 0

3 years ago

Charles has $1600 dollars in his account and makes automatic $400

kipiarov [429]

1600(-400)= f is the y axis and -400 because its taking money from his account

3 0

2 years ago