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nasty-shy [4]
2 years ago
8

Cynthia invests some money in a bank which pays 5% compound interest per year.

Mathematics
1 answer:
shtirl [24]2 years ago
6 0

Answer:

£6,910.70

Step-by-step explanation:

The computation of the amount invested is given below:

As we know that

Amount = Principal × (1 + rate of interest)^number of years

£8000 = Principal × (1 + 0.05)^3

£8000 = Principal × 1.05^3

£8000 = Principal × 1.157625

So, the principal amount is

= £8000 ÷ 1.157625

= £6,910.70

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Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8
hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

y = a(bx + c)  + d

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

  • Reflect about the x axis
  • Vertical Shrink by a factor of 1/2
  • Horizontal Shrink by a factor of 3
  • Shift to the left 4 units
  • Shift downward 8 units.

4 0
1 year ago
If ΔLMN ≅ ΔOPR, m∠L = (x^2 - x)°, m∠P = 16°, m∠N = (4x+160)°. Find m∠R.
Marizza181 [45]

Answer:

mZR = (4x + 160)°

Step-by-step explanation:

cause, mZR = mZN

;-))

8 0
3 years ago
What is the answer<br> -8 + 3 + -8 – -3
Sophie [7]
-8+3+-8--3
minusing a negativ means adding a positive
adding a negaative means minusing a positive
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6 0
3 years ago
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Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
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Which equations apply the distributive property? Select each correct answer. 70⋅2.028=(70⋅1)+(70⋅0.02)+(70⋅0.008)70⋅2.028=(70⋅1)
Advocard [28]
I think is the first one
8 0
3 years ago
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