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olya-2409 [2.1K]
3 years ago
8

6f+f(f+2)+3 f*to the 2nd power-4f​

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

the answer is f^2+8f+3^-4f

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Sindi borrowed an amount of money from his
PolarNik [594]

The present value of the loan is R576923.

<h3>What is compound interest ?</h3>

Compound interest is giving the current instalment in terms of the total previous amount.

The formula is given by

A = P(1 + r/100)ⁿ.

Where,

A = Amount, P = Principle, r = rate of interest, n = Time in years.

In case the compound if interest is given every two months that is 6 instalments each year the above given formula will be

A = P{ 1 + (r/6)/100 }⁶ⁿ.

According to the given question

Rate(r) = 7.5%

Time(n) = 6 years

The loan will be paid back in 6 years every second month and it is compounded.

∴ No. of instalments = (12 × 6)/2

= 36.

Now each instalments is of R25000

So, The total amount she has to pay back to his father is

= (25000 × 36)

= R900000.

We know compounding every two months is

A = P(1 + r/100)ⁿ

900000 = P{ 1 + (7.6/6)/100 }³⁶

900000 = P{ 1 + 1.25/100 } ³⁶

900000 = P(1.0125)³⁶

900000 = 1.56P

∴ P = 576923.

Learn more about compound interest here :

brainly.com/question/13155407

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3 0
1 year ago
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

7 0
3 years ago
If (x/100-1)(x/100+1)=kx^2-1 k=
Artist 52 [7]
(x/100-1)(x/100+1)=kx^2-1
(x/100-1)(x/100+1)=(x/100)^2 - 1^2 because it's a difference of squares ( (a-b)(a+b) = a^2-ab+ab-b^2 = a^2 - b^2):
(x/100)^2 - 1^2=kx^2 - 1
(x/100)^2 - 1=kx^2 - 1
(x/100)^2=kx^2
(x^2)/(100^2)=kx^2
1/(100^2)=k
1/10000=k
k=0.0001
3 0
3 years ago
a beaker holds 50mL of a liquid.How many centiliters does the beaker hold? a.5000cL b.5cL c.5000cL d.500cL
Sindrei [870]

Answer:

Your answer is 5cl

Step-by-step explanation:

This is because of King Henry Died by Drinking Chocolate Milk (Kilometers,Hectometers, Decameters, Base(Liters,Meters, and Grams) Decimeters, Centimeters and Millimeters). So when you have 50 milliliters, milliliters is one place away from centiliters so you move the decimal forward one place.

3 0
3 years ago
Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Hitman42 [59]

Answer:

not a function.

Step-by-step explanation:

the x value/set a has to have 1 line from each but the -3 has 2 lines, therefore not a function

7 0
2 years ago
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