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White raven [17]
3 years ago
5

a studernt has pased 60 percent of 20 quizzes he has written so far successfully. if the student 50 quizzes during the year, and

passes 80 percent of the remaning quizzes successfully what is the precent of all the successful quizzess for the entire year
Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer:

72%

Step-by-step explanation:

There are a total of 50 quizzes in the year

From the first 20, the student passes 60%. This makes a total of

\frac{60}{100} (20) = 12

12 passes

Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of

\frac{80}{100} (30) = 12

24 passes

Adding the two values

12 + 24 = 36

The student passes 36 quizzes out of 50.

We convert this to a percentage

\frac{36}{50} (100) = 72%

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Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

<u>Now, if the annual rate is 6% continuously compounded.</u>

<u>First, we need to calculate the effective interest rate:</u>

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0
2 years ago
PLEASE ANSWER, I HAVE A QUIZ THAT NEEDS TO GET DONE AND I HAVE NO IDEA HOW TO GET THIS!
Oliga [24]
There you go. cube root of smth is just the value to the power of one third.

4 0
2 years ago
In the system of equations below, which variable would it be easiest to solve for? x + 4 y = 14. 3 x + 2 y = 12 The easiest to s
Murljashka [212]

Answer:

<h2>The easiest to solve for is x in the first equation</h2>

Step-by-step explanation:

Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

3 x + 2 y = 12 ............ 2  * 1

Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.

3x + 12 y = 42.

3 x + 2 y = 12

Taking the diffrence;

12-2y =42 - 12

10y = 30

y = 3

From equation 1, x = 14-4y

x = 14-4(3)

x = 14-12

x = 2

It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.

5 0
3 years ago
Functions order from least to greatest answers and explanation pleaseee!!
TiliK225 [7]
C, A, B

A’s rate if change:
3

B’s rate of change:
(10 - 0) / (-2 - (-4)) = 10 / 2
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C’s rate of change:
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4 0
2 years ago
Please solve for x. I need this answered.
spin [16.1K]

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

8 0
3 years ago
Read 2 more answers
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