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makkiz [27]
3 years ago
11

Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.

Mathematics
2 answers:
Stolb23 [73]3 years ago
6 0
Anita's account had linear growth
Miguel's account had exponential growth.
Miguel's account grew faster because exponential growth is faster than linear growth
Anna007 [38]3 years ago
5 0

Answer:

Miguel's account will grow fast.

Step-by-step explanation:

It is given that:

  • Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.

Let g(t) represents the function that represent the amount of money in Anita's account in 't' months.

Hence, the function g(t) is given by:

g(t)=400+200t

  • Miguel had $25 in his savings account. His parents will double the amount in his account each month.

Let f(t) represents the function that represent the amount of money in Anita's account in 't' months.

Hence, the function g(t) is given by:

f(t)=25\times 2^t

Clearly we could observe that the amount of money in Anita's account have a linear growth and the amount of money in Miguel's account has a exponential growth and we know that exponential function has a more increase i.e. it increases faster than the linear function.

Hence,

Miguel's account will grow fast.

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A. Translate each of the following into algebraic expressions: (1 point each)
myrzilka [38]
A. Translate each of the following into algebraic expressions: (1 point each) 1.x plus y squared ---> x + y^2
2.8 times a number, x, decreased by y  ---> 8x - y
3.the sum of x and y, squared ---> (x + y)^2
4.3 times the difference of x and y ---> 3( x - y)
5.6 less than x cubed --- > x^3 - 6


B. Translate the following phrases into algebraic expressions. Explain, in complete sentences, the difference between the two. (3 points)

´twice the sum of x and y ---> 2(x + y)
´the sum of twice x and y ---> 2x + y

The first one adds first x and y, and then doubles the result, while the second one first doubles de value of x and the adds y.


C. Create your own example of a mathematical phrase you might hear in the real world and provide the translation for it. Be sure to identify what part of the phrase i

The sales of this year exceeded the sales of last year in tweny millions.

y = x + 20,000,000, where x represents the sales of last year and y represents the sales of this year,
5 0
3 years ago
Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35​
stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0
3 years ago
Irrational number between 3.077243 and 3.0721​
Vikentia [17]

Answer:

3.066543

Step-by-step explanation:

This number is between 3.077243 and 3.0721

6 0
3 years ago
I need help on this question!
lord [1]

Answer:

If A = 8, B = 5

If A = 20, B = 3

Step-by-step explanation:

4x²(2x³ + 5x)

8x⁵ + 20x³

If A = 8, B = 5

If A = 20, B = 3

4 0
3 years ago
Malika earn $40.25 for three and a half hours of overtime work on Saturday determine Malika's overtime pay rate
Roman55 [17]
Just divide 40.25 by 3.5. You get 11.5. So his pay rate is 11.5 every hour.

I hope this helps :)
8 0
3 years ago
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