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2 years ago

Solve for r in terms of s, t, and u. t=u-s+r

Mathematics

1 answer:

Verdich [7]2 years ago

6 0

Answer:

r = t - u - s

Step-by-step explanation:

To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.

t = u - s + r

t - u = s + r

t - u - s = r

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I got this wrong on a test and I can't understand it. Can someone explain? I figured out it was compound interest, but I dont kn

Oliga [24]

A = P(1+i)ⁿ ==> compound interest where P= initial Capital, I =interest in% and n the number of years. A is the total amount collected over n years

A= 500(1.0325)¹² ==> 500(1+0.0325)¹² ==> 500(1+3.25%)¹²
The mistake is:
Either she has a yearly interest of 3.25% & she wrote 12 instead of 3 (years)
OR
She got a quarterly interest of 3.25% and in this case she should have divided 3.25& by 12 (4 quarter a year ==> 12 quarter for 3 years) by keeping as exponent the number 12 (right)

1)Now the Amount of A (as she wrote it) =500(1.0325)¹² = 734
2) If she wrote 12 instead of 3, and after correction A=500(1.0325)³ =550
3) But if she had taken the quarterly interest for a period of 3 years (12 Qrtr)
then A =500[1+(3.25%)/4]¹² = 551

3 0

3 years ago

Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two t

musickatia [10]

Let lowest integer be n then

4(n + 4) = 3n + 2(n + 2) + 4

4n + 16 = 5n + 8
8 = n

so three integers are 8,10 and 12.

4 0

3 years ago

Which is the graph of f(x) = 5(2)x?

gayaneshka [121]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=5(2)^{x}$

This is a exponential function of the form

$f(x)=a(b)^{x}$

where

a is the initial value

b is the base

In this problem

a=5

b=2

using a graphing tool

see the attached figure

3 0

2 years ago

University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some studen

ira [324]

Answer:

A. 0.1

B. 0.8

C. 0.5

Step-by-step explanation:

Given:

P(Science) = 0.3

P(Arts) = 0.6

P(none) = 0.2

From the above, it is understood that the events are independently events; meaning that the probability that a students gets a Bachelor of Science degree does not affect the probability of the same student getting a Bachelor of Arts degree.

A. The probability that a student gets a Bachelor of Science and Bachelor of Arts degree

Let P(Arts and Science) = the probability that a student gets a Bachelor of Arts degree and Bachelor of Science degree

For independent events,

P(A) + P(B) - P(A and B) + P(none)= 1

If we translate the above formula to suit our needs, we have something like this

P(Science) + P(Arts) - P(Arts and Science) + P(none) = 1

P(Arts) + P(Science) - P(Arts and Science) + P(none) = 1

From this, we have

0.3 + 0.6 - P(Arts and Science) + 0.2 = 1

1.1 - P(Arts and Science) = 1

-P(Arts and Science) = 1 - 1.1

-P(Arts and Science) = -0.1

P(Arts and Science) = 0.1

B. The probability that a student gets a Bachelor of Science or Bachelor of Arts degree

For independent events

P(A or B) = P(A) + P(B) - P(A and B)

So, P(Arts or Science) = P(Arts) + P(Science) - P(Arts and Science)

P(Arts or Science) = 0.3 + 0.6 - 0.1

P(Arts or Science) = 0.8

C. The probability that a student gets only Bachelor of Arts

P(A only) = P(A) - P(A and B)

P(Arts) = P(Arts) - P(Arts and Science)

P(Arts) = 0.6 - 0.1

P(Arts) = 0.5

6 0

3 years ago

You are dealt a card from a standard 52 card deck , what is the probability of getting an ace

Tema [17]

Answer:

0.1538

Step-by-step explanation:

Probability of being dealt with an ace of a 8 =

= Number of ace + number of an 8 in the deck / Total number of cards in the deck

= (4+4) / 52 = 8/52 = 0.1538

Therefore 0.1538 is the required probability here.

7 0

2 years ago

Read 2 more answers