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3 years ago

At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

63% of all undergraduates receive at least one grant or scholarship.

Step-by-step explanation:

Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.

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Find the area of the triangular prism

Harrizon [31]

94 meters is the correct answer i believe

4 0

3 years ago

NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou

mixer [17]

Answers:

a) See the table below

b) The equation is $y = 32000(1.01125)^x$

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\$

Repeat for x = 1

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\$

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

The template for any exponential equation is $y = a(b)^x$

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from $y = a(b)^x$ to $y = 32000(1.01125)^x$

-----------------------

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\$

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

8 0

2 years ago

For the function , if P = 8 and r = 0.08, then what is the value of f(8) to the nearest tenth?

meriva

I think its A. I'm not really sure

6 0

3 years ago

Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. To determine customer opini

Gennadij [26K]

Answer:

Cluster

Step-by-step explanation:

According to the Question,

Given this, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.

This is a Cluster type of Sampling.

Cluster sampling is a type of sampling method in which the population under study is divided into different groups known as clusters before simple random samples are selected from each population cluster. The analysis of such a population is carried out based on the sampled clusters.

This method is adopted when a researcher does not have access to the whole population under research.

Advantages of cluster sampling

The research method only needs fewer resources.

The sample under review is feasible.

Note: Cluster sampling is not as accurate as simple or stratified random sampling.

4 0

3 years ago

A rectangular floor is 18ft long and 12 ft wide. Lamar wants to carpet the floor with carpet tiles sold by square yard. Use the

WITCHER [35]

Solution

The dimension of the rectangular floor is 18ft long and 12 ft wide

Using the conversion table

It is given that 1yd =3 ft

This shows that

12 feet will be equivalent to

$\frac{12}{3}=4yd$

Also 18ft will be equialent to

$\frac{18}{3}=6yd$

Therefore the new dimension is 6 yard by 4 yard

The area will be

$A=6\times4$

Therefore the required area is

$A=24yd^2$

5 0

2 years ago