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Alex777 [14]
3 years ago
12

Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,

500 into her account and also saves $200 cash a year. x = number of years Aleka: f(x) = 2500(1.025)x Helene: g(x) = 1500(1.025)x + 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years?
Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

Answer:

C: h(x) = 1000(1.025)x – 200x

Step-by-step explanation:

on edge

brainliest will be appreciated

Angelina_Jolie [31]3 years ago
6 0

Answer:

h(x)=1000(1.025)^x-200x.

Step-by-step explanation:

We are given function f for Aleka's amount

f(x)=2500(1.025)^x

And function for Helene's amount

g(x) = 1500(1.025)^x+200x.

Now, we need to find the difference of the functions h(x) = f(x)-g(x).

Subtracting f(x) and g(x), function, we get

h(x) =2500(1.025)^x-(1500(1.025)^x+200x)

Distributing minus sign over second parenthesis, we get

h(x) =2500(1.025)^x-1500(1.025)^x-200x

Subtracting 2500(1.025)^x-1500(1.025)^x, we get 1000.

Therefore, h(x)=1000(1.025)^x-200x.

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Julli [10]

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

6 0
3 years ago
What is the simplified form of the expression k^3(k7/5)^-5
saveliy_v [14]
The expression can be simplified as:

k^3(k7/5)^-5
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4 0
3 years ago
Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

AC = 3.17 miles

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}

AB = \frac{3\text{sin}(78)}{\text{sin}(49)}

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0
2 years ago
What value of y makes y + (4 - 2y) = 2 true?
BlackZzzverrR [31]

Answer:

y = 2

Step-by-step explanation:

Given

y + (4 - 2y) = 2 ← remove parenthesis on left side

y + 4 - 2y = 2, that is

- y + 4 = 2 ( subtract 4 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

8 0
3 years ago
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