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Marizza181 [45]
3 years ago
12

suppose you are the financial manager of the International Emirates University IEU. And you are requested at the end of the year

2020 to pay 30,000 as the building rent for the coming two years. Furthermore at the end of the year 2022 you are requested to renew the university working licenses with total amount of $ 50,000 for the coming two years. Also, at the end of the year 2023 you have to face withdraw of $80,000 to pay well-known fees to the head of university in Dubai. If you can earn 8% in your fund how much you should deposit by today to reach your goals, and to leave your balance zero after the last withdrawal?
Mathematics
1 answer:
Irina18 [472]3 years ago
8 0
So what this is is
many words

assuming year 0 is 2017

so compound first thing till 2020, take out 30000
the remaining is copmpounded til 2022, take out 50000
remaining is compounded for 1 more year and that is equal to 80000

so from 2017 to 2020, that is 5 years
from 2020 to 2022 is 2 years
from 2022 to 2023 is 1 year


work backwards

A=P(r+1)^t
last one
A=80000
P=?
r=0.08
t=1 year

80000=P(1.08)^1
divide both sides by 1.08
I would leave in fraction
20000000/27=P

now that is the remaining after paying 50000, after 2 years of compounding

so
50000+(2000000/27)=P(1.08)^2
solve using math
about
106374=P

now reverse back

5 years
paid 30000

30000+106374=P(1.08)^5
solve using math
92813.526=P
round
$92813.53




put $92813.53 in the fund
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Five more than the product of a number and 4 is equal to 8
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Answer:

4x+5=8

x=\frac{3}{4}

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

so

4x+5=8

Solve for x

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4x=8-5\\4x=3

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x=\frac{3}{4}

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3 years ago
PLS HELP
Sloan [31]

Answer:

8√5 units.

Step-by-step explanation:

See the diagram in the coordinate plane attached.

A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.

The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).

Therefore, side length of the rhombus will be  

\sqrt{(- 1 - 3)^{2} + (- 1 - (- 3))^{2}} = \sqrt{20} = 2\sqrt{5} units.

So, the perimeter of the rhombus will be (4 × 2√5) units  = 8√5 units. (Answer)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2}) on a coordinate plane is given by  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}

5 0
3 years ago
Consider the following operations on the number 8.82 x 10^-2. Without using a calculator, decide which would give a significantl
Ksenya-84 [330]

Correct question is;

Consider the following operations on the number 8.85 x 10^(-2). Without using a calculator, decide which would give a significantly smaller value than 8.85 x 10^(-2), which would give a significantly larger value, or which would give essentially the same value.

A) 8.85 × 10^(-2) + 6.69 × 10^(5)

B) 8.85 x 10^(-2) - 6.69 x 10^(5)

C) 8.85 x 10^(-2) x 6.69 x 10^(5)

D) 8.85 × 10^(-2) ÷ 6.69 × 10^(5)

Answer:

Option A & B yield essentially the same value.

Option C yields a significantly smaller value

Option D yields a significantly larger value

Step-by-step explanation:

Since given value for the operations is in 10^(-2) indices, then let's convert the operations numbers from 10^(5) indices to 10^(-2).

Thus;

6.69 × 10^(5) = (6.69 × 10^(-7)) × 10^(-2)

Thus;

A) 8.85 × 10^(-2) + 6.69 × 10^(5) is now;

8.85 × 10^(-2) + ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 + (6.69 × 10^(-7))] × 10^(-2)

The 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same

B) 8.85 x 10^(-2) - 6.69 x 10^(5) is now;

8.85 × 10^(-2) - ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 - (6.69 × 10^(-7))] × 10^(-2)

Again the 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same.

C) 8.85 x 10^(-2) x 6.69 x 10^(5) is now;

(8.85 × 10^(-2)) × ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 × (6.69 × 10^(-7))] × 10^(-2)

When we multiply 8.85 by 6.69 × 10^(-7), the value gotten will be way lower than the initial value of 8.85.

Thus,this operation will give a significantly smaller value.

D) (8.85 × 10-2) ÷ (6.69 × 10^5) is now;

(8.85 × 10^(-2)) ÷ ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 ÷ (6.69 × 10^(-7))] × 10^(-2)

When we carry out the operation:

8.85 ÷ (6.69 × 10^(-7)), it is essentially equal to (8.85 × 10^(7))/6.69.

This means that the new value would be significantly larger than the initial value of 8.85.

Thus,this operation yields a significantly larger value.

4 0
3 years ago
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kakasveta [241]

Answer:

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Step-by-step explanation:

To solve this question, you must know what the equation really means.

P = population

t = time

1600 = initial population size

1.04 = is the percentage growth, (growth because it is greater than 1.)

So, the initial population size is 1600.

It is growth because the percentage is greater than 1.

(1.04 = 104%, 104%-100%=4%)

The population changes by 4%

5 0
2 years ago
What is 52.81 rounded to the nearest whole number?
belka [17]
The answer would be 53.
6 0
3 years ago
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