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3 years ago

A sequence of payment made at equal time period is a/an'????

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

Annuity.

Step-by-step explanation:

A sequence of payment made at equal time period is called an annuity.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

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write a story problem that can be solved by finding the sum of 506,211 and 424,809. then solve the problem

Amiraneli [1.4K]

Story Problem

Mr. Bill Gates bought a house in Italy for $\$506,211$ and a house in Canada for $\$424,809$ . What is the total cost of the two houses?

we know that

The total cost is the sum of the cost each house

$\$506,211+\$424,809=\$931,020$

therefore

the answer is

The total cost is $\$931,020$

7 0

3 years ago

Read 2 more answers

A kangaroo hops 2 kilometers in 3 minutes. At this rate how long does it take the kangaroo to travel 3 kilometers?

Anna007 [38]

Answer:

4 minutes 3 seconds

Step-by-step explanation:

Step one:

Given data

A kangaroo hops 2 kilometers in 3 minutes

The rate/speed is

rate/speed= 2/3 km per minute

Required

the time taken to cover 3 km

Step two:

We know that

rate= distance/time

2/3= 3/t

cross multiply we have

2t=3*3

2t=9

divide both sides by 2

t= 9/2

t= 4.5 minutes

t= 4 minutes 3 seconds

4 0

3 years ago

The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Whe

marissa [1.9K]

Answer:

a) 0.31 = 31%

b) 0.03 = 3%

c) 0.36 = 36%

d) 2 times

Step-by-step explanation:

If $F_X(x)$ is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by

$P(X \leq x) = F_X(x)$

If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then

$P(X=a)=F_X(a)-\lim_{x \to a^-}F_X(x)$

We are looking for P(X<2)

$P(X < 2) = P(X\leq 2)-P(X=2)=F_X(2)-\lim_{x \to 2^-}F_X(x)=0.84-0.53=0.31$

In this case we want P(X>3)

$P(X >3) = 1-P(X\leq 3)=1-F_X(3)=1-0.97=0.03$

Now, we are interested in P(X=1)

$P(X =1) =F_X(1)-\lim_{x \to 1^-}F_X(x)=0.53-0.17=0.36$

The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:

P(X=1)+2P(X=2)+...+nP(X=n)+...

But it is easy to see that P(X=n) = 0 if n is an integer >4

So, the expected value is

P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)

We already have P(X=1) and P(X=2). Let's compute the rest

$P(X =3) =F_X(3)-\lim_{x \to 3^-}F_X(x)=0.97-0.84=0.13$

$P(X =4) =F_X(4)-\lim_{x \to 4^-}F_X(x)=1-0.97=0.03$

and the expected value is

0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.

8 0

4 years ago

Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t

neonofarm [45]

Let

r------> the radius of the circular tabletop

we know that

$r\geq 6\ in$

$r\leq23\ in$

$6\ in \leq r \leq 23\ in$

The area of a circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

Part a) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the smallest possible area of the tabletop is for $r=6\ in$

Substitute the value of r in the formula

$A=\pi 6^{2}$

$A=113.09\ in^{2}$

Round to the nearest whole square inch

$A=113\ in^{2}$

therefore

the answer part a) is

the smallest possible area of the tabletop is $113\ in^{2}$

Part b) What is the largest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the largest possible area of the tabletop is for $r=23\ in$

Substitute the value of r in the formula

$A=\pi 23^{2}$

$A=1,661.90\ in^{2}$

Round to the nearest whole square inch

$A=1,662\ in^{2}$

therefore

the answer part b) is

the largest possible area of the tabletop is $1,662\ in^{2}$

7 0

4 years ago

Read 2 more answers

Given f(x) = 2x + 6, and g(x) = x2 + 6, find (g ○ f)(1).

Kryger [21]

$\bf \begin{cases} f(x)=2x+6\\ g(x)=x^2+6\\ (g\circ f)(x)\implies g(~~f(x)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(1)=2(1)+6\implies f(1)=\boxed{8} \\\\[-0.35em] ~\dotfill\\\\ g(~~f(1)~~)\implies g\left(\boxed{8} \right)=(8)^2+6\implies g(8)=64+6\implies \stackrel{g(~~f(1)~~)}{g(8)}=70$

4 0

3 years ago

A sequence of payment made at equal time period is a/an'????​

A sequence of payment made at equal time period is a/an'????